@article{1762,
abstract = {In quantum information science, the phase of a wave function plays an important role in encoding information. Although most experiments in this field rely on dynamic effects to manipulate this information, an alternative approach is to use geometric phase, which has been argued to have potential fault tolerance. We demonstrated the controlled accumulation of a geometric phase, Berry's phase, in a superconducting qubit; we manipulated the qubit geometrically by means of microwave radiation and observed the accumulated phase in an interference experiment. We found excellent agreement with Berry's predictions and also observed a geometry-dependent contribution to dephasing.},
author = {Leek, Peter J and Johannes Fink and Blais, Alexandre and Bianchetti, R and Göppl, M and Gambetta, Jay M and Schuster, David I and Frunzio, Luigi and Schoelkopf, Robert J and Wallraff, Andreas},
journal = {Science},
number = {5858},
pages = {1889 -- 1892},
publisher = {American Association for the Advancement of Science},
title = {{Observation of Berry's phase in a solid-state qubit}},
doi = {10.1126/science.1149858},
volume = {318},
year = {2007},
}
@article{2373,
abstract = {For the BCS equation with local two-body interaction λV(x), we give a rigorous analysis of the asymptotic behavior of the critical temperature as γ"0. We derive necessary and sufficient conditions onV(x) for the existence of a nontrivial solution for all values of γ>0.},
author = {Frank, Rupert L and Hainzl, Christian and Naboko, Serguei N and Robert Seiringer},
journal = {Journal of Geometric Analysis},
number = {4},
pages = {559 -- 567},
publisher = {Springer},
title = {{The critical temperature for the BCS equation at weak coupling}},
doi = {10.1007/BF02937429},
volume = {17},
year = {2007},
}
@article{3427,
abstract = {We present a general theoretical framework to discuss mechanisms of morphogen transport and gradient formation in a cell layer. Trafficking events on the cellular scale lead to transport on larger scales. We discuss in particular the case of transcytosis where morphogens undergo repeated rounds of internalization into cells and recycling. Based on a description on the cellular scale, we derive effective nonlinear transport equations in one and two dimensions which are valid on larger scales. We derive analytic expressions for the concentration dependence of the effective diffusion coefficient and the effective degradation rate. We discuss the effects of a directional bias on morphogen transport and those of the coupling of the morphogen and receptor kinetics. Furthermore, we discuss general properties of cellular transport processes such as the robustness of gradients and relate our results to recent experiments on the morphogen Decapentaplegic (Dpp) that acts in the wing disk of the fruit fly Drosophila.
© 2007 The American Physical Society},
author = {Bollenbach, Tobias and Kruse, Karsten and Pantazis, Periklis and Gonzalez-Gaitan, Marcos and Julicher, Frank},
journal = {Physical Review E Statistical Nonlinear and Soft Matter Physics},
number = {1},
publisher = {American Institute of Physics},
title = {{Morphogen transport in epithelia}},
doi = {10.1103/PhysRevE.75.011901},
volume = {75},
year = {2007},
}
@inproceedings{3561,
abstract = {The main result of this paper is an extension of de Silva's Weak Delaunay Theorem to smoothly embedded curves and surfaces in Euclidean space. Assuming a sufficiently fine sampling, we prove that i + 1 points in the sample span an i-simplex in the restricted Delaunay triangulation iff every subset of the i + 1 points has a weak witness.},
author = {Attali, Dominique and Herbert Edelsbrunner and Mileyko, Yuriy},
pages = {143 -- 150},
publisher = {ACM},
title = {{Weak witnesses for Delaunay triangulations of submanifolds}},
doi = {10.1145/1236246.1236267},
year = {2007},
}
@article{1035,
abstract = {We explore the rich internal structure of Cs2 Feshbach molecules. Pure ultracold molecular samples are prepared in a CO2 -laser trap, and a multitude of weakly bound states is populated by elaborate magnetic-field ramping techniques. Our methods use different Feshbach resonances as input ports and various internal level crossings for controlled state transfer. We populate higher partial-wave states of up to eight units of rotational angular momentum (l -wave states). We investigate the molecular structure by measurements of the magnetic moments for various states. Avoided level crossings between different molecular states are characterized through the changes in magnetic moment and by a Landau-Zener tunneling method. Based on microwave spectroscopy, we present a precise measurement of the magnetic-field-dependent binding energy of the weakly bound s -wave state that is responsible for the large background scattering length of Cs. This state is of particular interest because of its quantum-halo character.},
author = {Mark, Michael J and Ferlaino, Francesca and Knoop, Steven and Danzl, Johannes G and Kraemer, Tobias and Chin, Cheng and Nägerl, Hanns C and Grimm, Rudolf},
journal = {Physical Review A - Atomic, Molecular, and Optical Physics},
number = {4},
publisher = {American Physical Society},
title = {{Spectroscopy of ultracold trapped cesium Feshbach molecules}},
doi = {10.1103/PhysRevA.76.042514},
volume = {76},
year = {2007},
}
@article{221,
author = {De La Bretèche, Régis and Browning, Timothy D},
journal = {Michigan Mathematical Journal},
number = {1},
pages = {51 -- 80},
publisher = {Project Euclid},
title = {{On Manin's conjecture for singular del Pezzo surfaces of degree four, I}},
doi = {10.1307/mmj/1177681985},
volume = {55},
year = {2007},
}
@article{2367,
abstract = {It was recently shown by Hansen that the Wigner-Yanase entropy is, for general states of quantum systems, not subadditive with respect to decomposition into two subsystems, although this property is known to hold for pure states. We investigate the question whether the weaker property of subadditivity for pure states with respect to decomposition into more than two subsystems holds. This property would have interesting applications in quantum chemistry. We show, however, that it does not hold in general, and provide a counterexample.},
author = {Robert Seiringer},
journal = {Letters in Mathematical Physics},
number = {3},
pages = {285 -- 288},
publisher = {Springer},
title = {{On the failure of subadditivity of the Wigner-Yanase entropy}},
doi = {10.1007/s11005-007-0159-x},
volume = {80},
year = {2007},
}
@article{3411,
abstract = {Mechanical single-molecule techniques offer exciting possibilities to investigate protein folding and stability in native environments at submolecular resolution. By applying a free-energy reconstruction procedure developed by Hummer and Szabo, which is based on a statistical theorem introduced by Jarzynski, we determined the unfolding free energy of the membrane proteins bacteriorhodopsin (BR), halorhodopsin, and the sodium-proton antiporter NhaA. The calculated energies ranged from 290.5kcal/mol for BR to 485.5kcal/mol for NhaA. For the remarkably stable BR, the equilibrium unfolding free energy was independent of pulling rate and temperature ranging between 18 and 42°C. Our experiments also revealed heterogeneous energetic properties in individual transmembrane helices. In halorhodopsin, the stabilization of a short helical segment yielded a characteristic signature in the energy profile. In NhaA, a pronounced peak was observed at a functionally important site in the protein. Since a large variety of single- and multispan membrane proteins can be tackled in mechanical unfolding experiments, our approach provides a basis for systematically elucidating energetic properties of membrane proteins with the resolution of individual secondary-structure elements.},
author = {Preiner, Johannes and Harald Janovjak and Rankl, Christian and Knaus, Helene and Cisneros, David A and Kedrov, Alexej and Kienberger, Ferry and Mueller, Daniel J and Hinterdorfer, Peter},
journal = {Biophysical Journal},
number = {3},
pages = {930 -- 937},
publisher = {Biophysical Society},
title = {{Free energy of membrane protein unfolding derived from single-molecule force measurements}},
doi = {10.1529/biophysj.106.096982},
volume = {93},
year = {2007},
}
@unpublished{6321,
abstract = {These lecture notes describe the current state of affairs for Manin's conjecture in the context of del Pezzo surfaces.},
author = {Browning, Timothy D},
booktitle = {Arxiv},
pages = {1--57},
publisher = {Arxiv},
title = {{The Manin conjecture in dimension 2}},
year = {2007},
}
@inproceedings{2091,
abstract = {We present a novel multi-scale representation and acquisition method for the animation of high-resolution facial geometry and wrinkles. We first acquire a static scan of the face including reflectance data at the highest possible quality. We then augment a traditional marker-based facial motion-capture system by two synchronized video cameras to track expression wrinkles. The resulting model consists of high-resolution geometry, motion-capture data, and expression wrinkles in 2D parametric form. This combination represents the facial shape and its salient features at multiple scales. During motion synthesis the motion-capture data deforms the high-resolution geometry using a linear shell-based mesh-deformation method. The wrinkle geometry is added to the facial base mesh using nonlinear energy optimization. We present the results of our approach for performance replay as well as for wrinkle editing. },
author = {Bernd Bickel and Botsch, Mario and Angst, Roland and Matusik, Wojciech and Otaduy, Miguel A and Pfister, Hanspeter and Groß, Markus S},
publisher = {ACM},
title = {{Multi scale capture of facial geometry and motion}},
doi = {doi:10.1145/1275808.1276419},
year = {2007},
}
@article{222,
abstract = {Acknowledgements. The authors are grateful to Ulrich Derenthal and Brendan Hassett for several useful conversations relating to universal torsors for singular del Pezzo surfaces. Special thanks are due to Roger Heath–Brown whose ideas led us to the proof of Lemma 6. The paper was finalised while the first author was at the École Normale Supérieure, and the second author was at Oxford University supported by EPSRC grant number GR/R93155/01. The hospitality and financial support of these institutions is gratefully acknowledged. Finally, the authors would like to thank the anonymous referee for his careful reading of the manuscript and numerous useful suggestions.},
author = {de la Bretèche, Régis and Timothy Browning},
journal = {Mathematical Proceedings of the Cambridge Philosophical Society},
number = {3},
pages = {579 -- 605},
publisher = {Unknown},
title = {{On Manin's conjecture for singular del Pezzo surfaces of degree four, II}},
doi = {10.1017/S0305004107000205},
volume = {143},
year = {2007},
}
@article{2370,
abstract = {After recalling briefly the connection between spontaneous symmetry breaking and off-diagonal long-range order for models of magnets a general proof of spontaneous breaking of gauge symmetry as a consequence of Bose-Einstein condensation is presented. The proof is based on a rigorous validation of Bogoliubov's c-number substitution for the k = 0 mode operator α0.},
author = {Lieb, Élliott H and Robert Seiringer and Yngvason, Jakob},
journal = {Reports on Mathematical Physics},
number = {3},
pages = {389 -- 399},
publisher = {Elsevier},
title = {{Bose-Einstein condensation and spontaneous symmetry breaking}},
doi = {10.1016/S0034-4877(07)80074-7},
volume = {59},
year = {2007},
}
@article{2375,
abstract = {We give a Cwikel-Lieb-Rozenblum type bound on the number of bound states of Schrödinger operators with matrix-valued potentials using the functional integral method of Lieb. This significantly improves the constant in this inequality obtained earlier by Hundertmark.},
author = {Frank, Rupert L and Lieb, Élliott H and Robert Seiringer},
journal = {Letters in Mathematical Physics},
number = {2-3},
pages = {107 -- 116},
publisher = {Springer},
title = {{Number of bound states of Schrödinger operators with matrix-valued potentials}},
doi = {10.1007/s11005-007-0211-x},
volume = {82},
year = {2007},
}
@inbook{2705,
author = {László Erdös},
booktitle = {Spectral Theory and Mathematical Physics: a Festschrift in Honor of Barry Simon's 60th Birthday },
editor = {Gesztesy, Fritz and Deift, Percy and Galvez, Percy and Perry, Peter and Schlag, Wilhelm},
pages = {401 -- 428},
publisher = {American Mathematical Society},
title = {{Recent developments in quantum mechanics with magnetic fields}},
volume = {76},
year = {2007},
}
@article{223,
abstract = {Let Q be a non-singular diagonal quadratic form in at least four variables. We provide upper bounds for the number of integer solutions to the equation Q = 0, which lie in a box with sides of length 2B, as B → ∞. The estimates obtained are completely uniform in the coefficients of the form, and become sharper as they grow larger in modulus.},
author = {Timothy Browning},
journal = {Monatshefte fur Mathematik},
number = {1},
pages = {13 -- 38},
publisher = {Springer},
title = {{Density of integer solutions to diagonal quadratic forms}},
doi = {10.1007/s00605-007-0457-5},
volume = {152},
year = {2007},
}
@article{2371,
abstract = {We give a proof of stability of relativistic matter with magnetic fields all the way up to the critical value of the nuclear charge Zα = 2/π.},
author = {Frank, Rupert L and Lieb, Élliott H and Robert Seiringer},
journal = {Communications in Mathematical Physics},
number = {2},
pages = {479 -- 489},
publisher = {Springer},
title = {{Stability of relativistic matter with magnetic fields for nuclear charges up to the critical value}},
doi = {10.1007/s00220-007-0307-2},
volume = {275},
year = {2007},
}
@unpublished{3742,
abstract = {Recent work has shown that probabilistic models based on pairwise interactions-in the simplest case, the Ising model-provide surprisingly accurate descriptions of experiments on real biological networks ranging from neurons to genes. Finding these models requires us to solve an inverse problem: given experimentally measured expectation values, what are the parameters of the underlying Hamiltonian? This problem sits at the intersection of statistical physics and machine learning, and we suggest that more efficient solutions are possible by merging ideas from the two fields. We use a combination of recent coordinate descent algorithms with an adaptation of the histogram Monte Carlo method, and implement these techniques to take advantage of the sparseness found in data on real neurons. The resulting algorithm learns the parameters of an Ising model describing a network of forty neurons within a few minutes. This opens the possibility of analyzing much larger data sets now emerging, and thus testing hypotheses about the collective behaviors of these networks.},
author = {Broderick,Tamara and Dudik,Miroslav and Gasper Tkacik and Schapire,Robert E and Bialek, William S},
booktitle = {ArXiv},
publisher = {ArXiv},
title = {{Faster solutions of the inverse pairwise Ising problem}},
volume = {q-bio.QM},
year = {2007},
}
@inbook{6323,
abstract = {This paper surveys recent progress towards the Manin conjecture for (singular and non-singular) del Pezzo surfaces. To illustrate some of the techniques available, an upper bound of the expected order of magnitude is established for a singular del Pezzo surface of degree four.},
author = {Browning, Timothy D},
booktitle = {A Tribute to Gauss and Dirichlet},
pages = {39--56},
publisher = {American Mathematical Society},
title = {{An overview of Manin's conjecture for del Pezzo surfaces}},
volume = {7},
year = {2007},
}
@article{128,
abstract = {A 671 nm diode laser with a mode-hop-free tuning range of 40 GHz is described. This long tuning range is achieved by simultaneously ramping the external cavity length with the laser injection current. The laser output pointing remains fixed, independent of its frequency because of the cover slip cavity design. This system is simple, economical, robust, and easy to use for spectroscopy, as we demonstrate with lithium vapor and lithium atom beam experiments. },
author = {Carr, Adra and Serchest, Yancey and Waitukaitis, Scott R and Perreault, John and Lonij, Vincent and Cronin, Alexander},
journal = {Review of Scientific Instruments},
number = {10},
publisher = {American Institute of Physics},
title = {{Cover slip external cavity diode laser}},
doi = {10.1063/1.2801006},
volume = {78},
year = {2007},
}
@article{2118,
abstract = {We extend to infinite dimensions an explicit formula of Chill, Fašangová, Metafune, and Pallara for the optimal angle of analyticity of analytic Ornstein-Uhlenbeck semigroups. The main ingredient is an abstract representation of the Ornstein-Uhlenbeck operator in divergence form. },
author = {Jan Maas and van Neerven, Jan M},
journal = {Archiv der Mathematik},
number = {3},
pages = {226 -- 236},
publisher = {Birkhäuser},
title = {{On analytic Ornstein-Uhlenbeck semigroups in infinite dimensions}},
doi = {10.1007/s00013-007-2082-x},
volume = {89},
year = {2007},
}
@article{2093,
abstract = {We present a novel multi-scale representation and acquisition method for the animation of high-resolution facial geometry and wrinkles. We first acquire a static scan of the face including reflectance data at the highest possible quality. We then augment a traditional marker-based facial motion-capture system by two synchronized video cameras to track expression wrinkles. The resulting model consists of high-resolution geometry, motion-capture data, and expression wrinkles in 2D parametric form. This combination represents the facial shape and its salient features at multiple scales. During motion synthesis the motion-capture data deforms the high-resolution geometry using a linear shell-based mesh-deformation method. The wrinkle geometry is added to the facial base mesh using nonlinear energy optimization. We present the results of our approach for performance replay as well as for wrinkle editing. },
author = {Bernd Bickel and Botsch, Mario and Angst, Roland and Matusik, Wojciech and Otaduy, Miguel A and Pfister, Hanspeter and Groß, Markus S},
journal = {ACM Transactions on Graphics},
number = {3},
publisher = {ACM},
title = {{Multi scale capture of facial geometry and motion}},
doi = {10.1145/1276377.1276419},
volume = {26},
year = {2007},
}
@article{2372,
abstract = {The increasing interest in the Müller density-matrix-functional theory has led us to a systematic mathematical investigation of its properties. This functional is similar to the Hartree-Fock (HF) functional, but with a modified exchange term in which the square of the density matrix γ(x, x′) is replaced by the square of γ1 2 (x, x′). After an extensive introductory discussion of density-matrix-functional theory we show, among other things, that this functional is convex (unlike the HF functional) and that energy minimizing γ 's have unique densities ρ(r), which is a physically desirable property often absent in HF theory. We show that minimizers exist if N≤Z, and derive various properties of the minimal energy and the corresponding minimizers. We also give a precise statement about the equation for the orbitals of γ, which is more complex than for HF theory. We state some open mathematical questions about the theory together with conjectured solutions.},
author = {Frank, Rupert L and Lieb, Élliott H and Robert Seiringer and Siedentop, Heinz K},
journal = {Physical Review A - Atomic, Molecular, and Optical Physics},
number = {5},
publisher = {American Physical Society},
title = {{Müller's exchange-correlation energy in density-matrix-functional theory}},
doi = {10.1103/PhysRevA.76.052517},
volume = {76},
year = {2007},
}
@article{4234,
abstract = {We study a generalised model of population growth in which the state variable is population growth rate instead of population size. Stochastic parametric perturbations, modelling phenotypic variability, lead to a Langevin system with two sources of multiplicative noise. The stationary probability distributions have two characteristic power-law scales. Numerical simulations show that noise suppresses the explosion of the growth rate which occurs in the deterministic counterpart. Instead, in different parameter regimes populations will grow with "anomalous" stochastic rates and (i) stabilise at "random carrying capacities", or (ii) go extinct in random times. Using logistic fits to reconstruct the simulated data, we find that even highly significant estimations do not recover or reflect information about the deterministic part of the process. Therefore, the logistic interpretation is not biologically meaningful. These results have implications for distinct model-aided calculations in biological situations because these kinds of estimations could lead to spurious conclusions. (c) 2006 Elsevier B.V. All rights reserved.},
author = {de Vladar,Harold Paul and Pen,I.},
journal = {Physica A},
pages = {477 -- 485},
publisher = {Elsevier},
title = {{Determinism, noise, and spurious estimations in a generalised model of population growth}},
doi = {10.1016/j.physa.2006.06.025},
volume = {373},
year = {2007},
}
@inproceedings{1034,
abstract = {Three interacting particles form a system which is well known for its complex physical behavior. A landmark theoretical result in few-body quantum physics is Efimov\'s prediction of a universal set of weakly bound trimer states appearing for three identical bosons with a resonant two-body interaction [1, 2]. Surprisingly, these states even exist in the absence of a corresponding two-body bound state and their precise nature is largely independent of the particular type of the two-body interaction potential. Efimov\'s scenario has attracted great interest in many areas of physics; an experimental test however has not been achieved. We report the observation of an Efimov resonance in an ultracold thermal gas of cesium atoms [3]. The resonance occurs in the range of large negative two-body scattering lengths and arises from the coupling of three free atoms to an Efimov trimer. We observe its signature as a giant three-body recombination loss when the strength of the two-body interaction is varied near a Feshbach resonance. This resonance develops into a continuum resonance at non-zero collision energies, and we observe a shift of the resonance position as a function of temperature. We also report on a minimum in the recombination loss for positive scattering lengths, indicating destructive interference of decay pathways. Our results confirm central theoretical predictions of Efimov physics and represent a starting point from which to explore the universal properties of resonantly interacting few-body systems.},
author = {Nägerl, Hanns C and Kraemer, Tobias and Mark, Michael J and Waldburger, Philipp and Danzl, Johannes G and Engeser, Bastian and Lange, Adam D and Pilch, Karl and Jaakkola, Antti and Chin, Cheng and Grimm, Rudolf},
pages = {269 -- 277},
publisher = {AIP},
title = {{Experimental evidence for Efimov quantum states}},
doi = {10.1063/1.2400657},
volume = {869},
year = {2006},
}
@article{2366,
abstract = {Inequalities are derived for power sums of the real part and the modulus of the eigenvalues of a Schrödinger operator with a complex-valued potential.},
author = {Frank, Rupert L and Laptev, Ari and Lieb, Élliott H and Robert Seiringer},
journal = {Letters in Mathematical Physics},
number = {3},
pages = {309 -- 316},
publisher = {Springer},
title = {{Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials}},
doi = {10.1007/s11005-006-0095-1},
volume = {77},
year = {2006},
}
@article{3009,
author = {Paciorek, Tomasz and Friml, Jirí},
journal = {Journal of Cell Science},
number = {7},
pages = {1199 -- 1202},
publisher = {Company of Biologists},
title = {{Auxin signaling}},
doi = {10.1242/jcs.02910},
volume = {119},
year = {2006},
}
@article{573,
abstract = {Mitchison and Jozsa recently suggested that the "chained-Zeno" counterfactual computation protocol recently proposed by Hosten et al. is counterfactual for only one output of the computer. This claim was based on the existing abstract algebraic definition of counterfactual computation, and indeed according to this definition, their argument is correct. However, a more general definition (physically adequate) for counterfactual computation is implicitly assumed by Hosten et. al. Here we explain in detail why the protocol is counterfactual and how the "history tracking" method of the existing description inadequately represents the physics underlying the protocol. Consequently, we propose a modified definition of counterfactual computation. Finally, we comment on one of the most interesting aspects of the error-correcting protocol. },
author = {Onur Hosten and Rakher, Matthew T and Barreiro, Julio T and Peters, Nicholas A and Kwiat, Paul G},
journal = {Quantum Physics},
publisher = {ArXiv},
title = {{Counterfactual computation revisited}},
year = {2006},
}
@article{4173,
abstract = {Background: Zebrafish (D. rerio) has become a powerful and widely used model system for the analysis of vertebrate embryogenesis and organ development. While genetic methods are readily available in zebrafish, protocols for two dimensional (2D) gel electrophoresis and proteomics have yet to be developed. Results: As a prerequisite to carry out proteomic experiments with early zebrafish embryos, we developed a method to efficiently remove the yolk from large batches of embryos. This method enabled high resolution 2D gel electrophoresis and improved Western blotting considerably. Here, we provide detailed protocols for proteomics in zebrafish from sample preparation to mass spectrometry (MS), including a comparison of databases for MS identification of zebrafish proteins. Conclusion: The provided protocols for proteomic analysis of early embryos enable research to be taken in novel directions in embryogenesis.},
author = {Link, Vinzenz and Shevchenko, Andrej and Heisenberg, Carl-Philipp},
journal = {BMC Developmental Biology},
pages = {1 -- 9},
publisher = {BioMed Central},
title = {{Proteomics of early zebrafish embryos}},
doi = {10.1186/1471-213X-6-1},
volume = {6},
year = {2006},
}
@article{574,
abstract = {Vaidman, in a recent article adopts the method of 'quantum weak measurements in pre- and postselected ensembles' to ascertain whether or not the chained-Zeno counterfactual computation scheme proposed by Hosten et al. is counterfactual; which has been the topic of a debate on the definition of counterfactuality. We disagree with his conclusion, which brings up some interesting aspects of quantum weak measurements and some concerns about the way they are interpreted. },
author = {Onur Hosten and Kwiat, Paul G},
journal = {Quantum Physics},
publisher = {ArXiv},
title = {{Weak measurements and counterfactual computation}},
year = {2006},
}
@article{1461,
abstract = {This note proves combinatorially that the intersection pairing on the middle-dimensional compactly supported cohomology of a toric hyperkähler variety is always definite, providing a large number of non-trivial L 2 harmonic forms for toric hyperkähler metrics on these varieties. This is motivated by a result of Hitchin about the definiteness of the pairing of L 2 harmonic forms on complete hyperkähler manifolds of linear growth.},
author = {Tamas Hausel and Swartz, Edward},
journal = {Proceedings of the American Mathematical Society},
number = {8},
pages = {2403 -- 2409},
publisher = {American Mathematical Society},
title = {{Intersection forms of toric hyperkähler varieties}},
doi = {10.1090/S0002-9939-06-08248-7},
volume = {134},
year = {2006},
}
@misc{2363,
abstract = { We prove that the Gross-Pitaevskii equation correctly describes the ground state energy and corresponding one-particle density matrix of rotating, dilute, trapped Bose gases with repulsive two-body interactions. We also show that there is 100% Bose-Einstein condensation. While a proof that the GP equation correctly describes non-rotating or slowly rotating gases was known for some time, the rapidly rotating case was unclear because the Bose (i.e., symmetric) ground state is not the lowest eigenstate of the Hamiltonian in this case. We have been able to overcome this difficulty with the aid of coherent states. Our proof also conceptually simplifies the previous proof for the slowly rotating case. In the case of axially symmetric traps, our results show that the appearance of quantized vortices causes spontaneous symmetry breaking in the ground state. },
author = {Lieb, Élliott H and Robert Seiringer},
booktitle = {Communications in Mathematical Physics},
number = {2},
pages = {505 -- 537},
publisher = {Springer},
title = {{Derivation of the Gross-Pitaevskii equation for rotating Bose gases}},
doi = {10.1007/s00220-006-1524-9},
volume = {264},
year = {2006},
}
@unpublished{3431,
abstract = {Ising models with pairwise interactions are the least structured, or maximum-entropy, probability distributions that exactly reproduce measured pairwise correlations between spins. Here we use this equivalence to construct Ising models that describe the correlated spiking activity of populations of 40 neurons in the retina, and show that pairwise interactions account for observed higher-order correlations. By first finding a representative ensemble for observed networks we can create synthetic networks of 120 neurons, and find that with increasing size the networks operate closer to a critical point and start exhibiting collective behaviors reminiscent of spin glasses.},
author = {Gasper Tkacik and Schneidman, E. and Berry, M. J. and Bialek, William S},
booktitle = {ArXiv},
pages = {1 -- 4},
publisher = {ArXiv},
title = {{Ising models for networks of real neurons}},
year = {2006},
}
@article{3695,
abstract = {We give an analytical and geometrical treatment of what it means to separate a Gaussian kernel along arbitrary axes in Ropfn, and we present a separation scheme that allows us to efficiently implement anisotropic Gaussian convolution filters for data of arbitrary dimensionality. Based on our previous analysis we show that this scheme is optimal with regard to the number of memory accesses and interpolation operations needed. The proposed method relies on nonorthogonal convolution axes and works completely in image space. Thus, it avoids the need for a fast Fourier transform (FFT)-subroutine. Depending on the accuracy and speed requirements, different interpolation schemes and methods to implement the one-dimensional Gaussian (finite impulse response and infinite impulse response) can be integrated. Special emphasis is put on analyzing the performance and accuracy of the new method. In particular, we show that without any special optimization of the source code, it can perform anisotropic Gaussian filtering faster than methods relying on the FFT.},
author = {Christoph Lampert and Wirjadi,Oliver},
journal = {IEEE Transactions on Image Processing (TIP)},
number = {11},
pages = {3501 -- 3513},
publisher = {IEEE},
title = {{An optimal non-orthogonal separation of the anisotropic Gaussian convolution filter}},
doi = { 10.1109/TIP.2006.877501 },
volume = {15},
year = {2006},
}
@article{6151,
author = {Salecker, Iris and Häusser, Michael and de Bono, Mario},
issn = {1469-221X},
journal = {EMBO reports},
number = {6},
pages = {585--589},
publisher = {Wiley},
title = {{On the axonal road to circuit function and behaviour: Workshop on the assembly and function of neuronal circuits}},
doi = {10.1038/sj.embor.7400713},
volume = {7},
year = {2006},
}
@article{1462,
abstract = {A Fourier transform technique is introduced for counting the number of solutions of holomorphic moment map equations over a finite field. This technique in turn gives information on Betti numbers of holomorphic symplectic quotients. As a consequence, simple unified proofs are obtained for formulas of Poincaré polynomials of toric hyperkähler varieties (recovering results of Bielawski-Dancer and Hausel-Sturmfels), Poincaré polynomials of Hubert schemes of points and twisted Atiyah-Drinfeld-Hitchin-Manin (ADHM) spaces of instantons on ℂ2 (recovering results of Nakajima-Yoshioka), and Poincaré polynomials of all Nakajima quiver varieties. As an application, a proof of a conjecture of Kac on the number of absolutely indecomposable representations of a quiver is announced.},
author = {Tamas Hausel},
journal = {PNAS},
number = {16},
pages = {6120 -- 6124},
publisher = {National Academy of Sciences},
title = {{Betti numbers of holomorphic symplectic quotients via arithmetic Fourier transform}},
doi = {10.1073/pnas.0601337103},
volume = {103},
year = {2006},
}
@inproceedings{2333,
author = {Lieb, Élliott H and Robert Seiringer and Solovej, Jan P},
pages = {239 -- 248},
publisher = {American Mathematical Society},
title = {{Ground-state energy of a dilute Fermi gas}},
doi = {10.1090/conm/412},
volume = {412},
year = {2006},
}
@article{2364,
abstract = {We present an inequality that gives a lower bound on the expectation value of certain two-body interaction potentials in a general state on Fock space in terms of the corresponding expectation value for thermal equilibrium states of non-interacting systems and the difference in the free energy. This bound can be viewed as a rigorous version of first-order perturbation theory for many-body systems at positive temperature. As an application, we give a proof of the first two terms in a high density (and high temperature) expansion of the free energy of jellium with Coulomb interactions, both in the fermionic and bosonic case. For bosons, our method works above the transition temperature (for the non-interacting gas) for Bose-Einstein condensation.},
author = {Robert Seiringer},
journal = {Reviews in Mathematical Physics},
number = {3},
pages = {233 -- 253},
publisher = {World Scientific Publishing},
title = {{A correlation estimate for quantum many-body systems at positive temperature}},
doi = {10.1142/S0129055X06002632},
volume = {18},
year = {2006},
}
@inbook{2369,
abstract = {One of the most remarkable recent developments in the study of ultracold Bose gases is the observation of a reversible transition from a Bose Einstein condensate to a state composed of localized atoms as the strength of a periodic, optical trapping potential is varied. In [1] a model of this phenomenon has been analyzed rigorously. The gas is a hard core lattice gas and the optical lattice is modeled by a periodic potential of strength λ. For small λ and temperature Bose- Einstein condensation (BEC) is proved to occur, while at large λ BEC disappears, even in the ground state, which is a Mott-insulator state with a characteristic gap. The inter-particle interaction is essential for this effect. This contribution gives a pedagogical survey of these results.},
author = {Aizenman, Michael and Lieb, Élliott H and Robert Seiringer and Solovej, Jan P and Yngvason, Jakob},
booktitle = {Mathematical Physics of Quantum Mechanics},
editor = {Asch, Joachim and Joye, Alain},
pages = {199 -- 215},
publisher = {Springer},
title = {{Bose-Einstein condensation as a quantum phase transition in an optical lattice}},
doi = {10.1007/b11573432},
volume = {690},
year = {2006},
}
@article{1033,
abstract = {Systems of three interacting particles are notorious for their complex physical behaviour. A landmark theoretical result in few-body quantum physics is Efimov\'s prediction1,2 of a universal set of bound trimer states appearing for three identical bosons with a resonant two-body interaction. Counterintuitively, these states even exist in the absence of a corresponding two-body bound state. Since the formulation of Efimov\'s problem in the context of nuclear physics 35 years ago, it has attracted great interest in many areas of physics3-8. However, the observation of Efimov quantum states has remained an elusive goal3,5. Here we report the observation of an Efimov resonance in an ultracold gas of caesium atoms. The resonance occurs in the range of large negative two-body scattering lengths, arising from the coupling of three free atoms to an Efimov trimer. Experimentally, we observe its signature as a giant three-body recombination loss9,10 when the strength of the two-body interaction is varied. We also detect a minimum 9,11,12 in the recombination loss for positive scattering lengths, indicating destructive interference of decay pathways. Our results confirm central theoretical predictions of Efimov physics and represent a starting point with which to explore the universal properties of resonantly interacting few-body systems7. While Feshbach resonances13,14 have provided the key to control quantum-mechanical interactions on the two-body level, Efimov resonances connect ultracold matter15 to the world of few-body quantum phenomena.},
author = {Kraemer, Tobias and Mark, Michael J and Waldburger, Philipp and Danzl, Johannes G and Chin, Cheng and Engeser, Bastian and Lange, Adam D and Pilch, Karl and Jaakkola, Antti and Nägerl, Hanns C and Grimm, Rudolf},
journal = {Nature},
number = {7082},
pages = {315 -- 318},
publisher = {Nature Publishing Group},
title = {{Evidence for Efimov quantum states in an ultracold gas of caesium atoms}},
doi = {10.1038/nature04626},
volume = {440},
year = {2006},
}
@inproceedings{2334,
author = {Robert Seiringer and Lieb, Élliott H and Yngvason, Jakob},
editor = {Zambrini, Jean-Claude},
publisher = {World Scientific Publishing},
title = {{One-dimensional behavior of dilute, trapped Bose gases in traps}},
doi = {10.1007/s00220-003-0993-3},
year = {2006},
}
@article{2365,
abstract = {We consider a gas of fermions with non-zero spin at temperature T and chemical potential μ. We show that if the range of the interparticle interaction is small compared to the mean particle distance, the thermodynamic pressure differs to leading order from the corresponding expression for non-interacting particles by a term proportional to the scattering length of the interparticle interaction. This is true for any repulsive interaction, including hard cores. The result is uniform in the temperature as long as T is of the same order as the Fermi temperature, or smaller.},
author = {Robert Seiringer},
journal = {Communications in Mathematical Physics},
number = {3},
pages = {729 -- 757},
publisher = {Springer},
title = {{The thermodynamic pressure of a dilute fermi gas}},
doi = {10.1007/s00220-005-1433-3},
volume = {261},
year = {2006},
}
@article{3755,
abstract = {A primitive example of adaptation in gene expression is the balance between the rate of synthesis and degradation of cellular RNA, which allows rapid responses to environmental signals. Here, we investigate how multidrug efflux pump systems mediate the dynamics of a simple drug-inducible system in response to a steady level of inducer. Using fluorescence correlation spectroscopy, we measured in real time within a single bacterium the transcription activity at the RNA level of the acrAB-TolC multidrug efflux pump system. When cells are exposed to constant level of anhydrotetracycline inducer and are adsorbed onto a poly-L-lysine-coated surface, we found that the acrAB-TolC promoter is steadily active. We also monitored the activity of the tet promoter to characterize the effect of this efflux system on the dynamics of drug-inducible transcription. We found that the transcriptional response of the tet promoter to a steady level of aTc rises and then falls back to its preinduction level. The rate of RNA degradation was constant throughout the transcriptional pulse, indicating that the modulation of intracellular inducer concentration alone can produce this pulsating response. Single-cell experiments together with numerical simulations suggest that such pulsating response in drug-inducible genetic systems is a property emerging from the dependence of drug-inducible transcription on multidrug efflux systems.},
author = {Le,Thuc T. and Emonet,Thierry and Harlepp, Sébastien and Calin Guet and Cluzel,Philippe},
journal = {Biophysical Journal},
number = {9},
pages = {3315 -- 3321},
publisher = {Biophysical Society},
title = {{Dynamical determinants of drug-inducible gene expression in a single bacterium}},
doi = {10.1529/biophysj.105.073353},
volume = {90},
year = {2006},
}
@article{3813,
abstract = {Hyperpolarization-activated channels (Ih or HCN channels) are widely expressed in principal neurons in the central nervous system. However, Ih in inhibitory GABAergic interneurons is less well characterized. We examined the functional properties of Ih in fast-spiking basket cells (BCs) of the dentate gyrus, using hippocampal slices from 17- to 21-day-old rats. Bath application of the Ih channel blocker ZD 7288 at a concentration of 30 microm induced a hyperpolarization of 5.7 +/- 1.5 mV, an increase in input resistance and a correlated increase in apparent membrane time constant. ZD 7288 blocked a hyperpolarization-activated current in a concentration-dependent manner (IC50, 1.4 microm). The effects of ZD 7288 were mimicked by external Cs+. The reversal potential of Ih was -27.4 mV, corresponding to a Na+ to K+ permeability ratio (PNa/PK) of 0.36. The midpoint potential of the activation curve of Ih was -83.9 mV, and the activation time constant at -120 mV was 190 ms. Single-cell expression analysis using reverse transcription followed by quantitative polymerase chain reaction revealed that BCs coexpress HCN1 and HCN2 subunit mRNA, suggesting the formation of heteromeric HCN1/2 channels. ZD 7288 increased the current threshold for evoking antidromic action potentials by extracellular stimulation, consistent with the expression of Ih in BC axons. Finally, ZD 7288 decreased the frequency of miniature inhibitory postsynaptic currents (mIPSCs) in hippocampal granule cells, the main target cells of BCs, to 70 +/- 4% of the control value. In contrast, the amplitude of mIPSCs was unchanged, consistent with the presence of Ih in inhibitory terminals. In conclusion, our results suggest that Ih channels are expressed in the somatodendritic region, axon and presynaptic elements of fast-spiking BCs in the hippocampus.},
author = {Aponte, Yexica and Lien, Cheng-Chang and Reisinger, Ellen and Peter Jonas},
journal = {Journal of Physiology},
number = {Pt 1},
pages = {229 -- 43},
publisher = {Wiley-Blackwell},
title = {{Hyperpolarization-activated cation channels in fast-spiking interneurons of rat hippocampus}},
doi = {10.1113/jphysiol.2005.104042},
volume = {574},
year = {2006},
}
@book{2335,
abstract = {This book contains a unique survey of the mathematically rigorous results about the quantum-mechanical many-body problem that have been obtained by the authors in the past seven years. It addresses a topic that is not only rich mathematically, using a large variety of techniques in mathematical analysis, but is also one with strong ties to current experiments on ultra-cold Bose gases and Bose-Einstein condensation. The book provides a pedagogical entry into an active area of ongoing research for both graduate students and researchers. It is an outgrowth of a course given by the authors for graduate students and post-doctoral researchers at the Oberwolfach Research Institute in 2004. The book also provides a coherent summary of the field and a reference for mathematicians and physicists active in research on quantum mechanics.},
author = {Lieb, Élliott H and Robert Seiringer and Solovej, Jan P and Yngvason, Jakob},
booktitle = {The mathematics of the Bose gas and its condensation},
publisher = {Birkhäuser},
title = {{The mathematics of the Bose gas and its condensation}},
volume = {34},
year = {2005},
}
@article{2359,
abstract = {The validity of substituting a c-number z for the k = 0 mode operator a0 is established rigorously in full generality, thereby verifying one aspect of Bogoliubov's 1947 theory. This substitution not only yields the correct value of thermodynamic quantities such as the pressure or ground state energy, but also the value of |z|2 that maximizes the partition function equals the true amount of condensation in the presence of a gauge-symmetry-breaking term. This point had previously been elusive.},
author = {Lieb, Élliott H and Robert Seiringer and Yngvason, Jakob},
journal = {Physical Review Letters},
number = {8},
publisher = {American Physical Society},
title = {{Justification of c-number substitutions in bosonic hamiltonians}},
doi = {10.1103/PhysRevLett.94.080401},
volume = {94},
year = {2005},
}
@article{2361,
abstract = {The strong subadditivity of entropy plays a key role in several areas of physics and mathematics. It states that the entropy S[±]=- Tr(Ï±lnÏ±) of a density matrix Ï±123 on the product of three Hilbert spaces satisfies S[Ï±123]- S[Ï±12]≤S[Ï±23]-S[Ï±2]. We strengthen this to S[Ï±123]-S[Ï±12] ≤αnα(S[Ï±23α]-S[Ï±2α]), where the nα are weights and the Ï±23α are partitions of Ï±23. Correspondingly, there is a strengthening of the theorem that the map A|Trexp[L+lnA] is concave. As applications we prove some monotonicity and convexity properties of the Wehrl coherent state entropy and entropy inequalities for quantum gases.},
author = {Lieb, Élliott H and Robert Seiringer},
journal = {Physical Review A - Atomic, Molecular, and Optical Physics},
number = {6},
publisher = {American Physical Society},
title = {{Stronger subadditivity of entropy}},
doi = {10.1103/PhysRevA.71.062329},
volume = {71},
year = {2005},
}
@article{214,
abstract = {Given an absolutely irreducible ternary form F, the purpose of this paper is to produce better upper bounds for the number of integer solutions to the equation F=0, that are restricted to lie in very lopsided boxes. As an application of the main result, a new paucity estimate is obtained for equal sums of two like powers.},
author = {Timothy Browning and Heath-Brown, Roger},
journal = {Mathematische Zeitschrift},
number = {2},
pages = {233 -- 247},
publisher = {Unknown},
title = {{Plane curves in boxes and equal sums of two powers}},
doi = {10.1007/s00209-004-0719-z},
volume = {251},
year = {2005},
}
@inbook{2336,
abstract = {
Now that the low temperature properties of quantum-mechanical many-body systems (bosons) at low density, ρ, can be examined experimentally it is appropriate to revisit some of the formulas deduced by many authors 4–5 decades ago, and to explore new regimes not treated before. For systems with repulsive (i.e. positive) interaction potentials the experimental low temperature state and the ground state are effectively synonymous — and this fact is used in all modeling. In such cases, the leading term in the energy/particle is 2πħ2 aρ/m where a is the scattering length of the two-body potential. Owing to the delicate and peculiar nature of bosonic correlations (such as the strange N 7/5 law for charged bosons), four decades of research failed to establish this plausible formula rigorously. The only previous lower bound for the energy was found by Dyson in 1957, but it was 14 times too small. The correct asymptotic formula has been obtained by us and this work will be presented. The reason behind the mathematical difficulties will be emphasized. A different formula, postulated as late as 1971 by Schick, holds in two dimensions and this, too, will be shown to be correct. With the aid of the methodology developed to prove the lower bound for the homogeneous gas, several other problems have been successfully addressed. One is the proof by us that the Gross-Pitaevskii equation correctly describes the ground state in the ‘traps’ actually used in the experiments. For this system it is also possible to prove complete Bose condensation and superfluidity as we have shown. On the frontier of experimental developments is the possibility that a dilute gas in an elongated trap will behave like a one-dimensional system; we have proved this mathematically. Another topic is a proof that Foldy’s 1961 theory of a high density Bose gas of charged particles correctly describes its ground state energy; using this we can also prove the N 7/5 formula for the ground state energy of the two-component charged Bose gas proposed by Dyson in 1967. All of this is quite recent work and it is hoped that the mathematical methodology might be useful, ultimately, to solve more complex problems connected with these interesting systems.},
author = {Lieb, Élliott H and Robert Seiringer and Solovej, Jan P and Yngvason, Jakob},
booktitle = {Perspectives in Analysis},
editor = {Benedicks, Michael and Jones, Peter W and Smirnov, Stanislav and Winckler, Björn},
pages = {97 -- 183},
publisher = {Springer},
title = {{The quantum-mechanical many-body problem: The Bose gas}},
doi = {10.1007/3-540-30434-7_9},
volume = {27},
year = {2005},
}
@article{2362,
abstract = {Recent developments in the physics of low-density trapped gases make it worthwhile to verify old, well-known results that, while plausible, were based on perturbation theory and assumptions about pseudopotentials. We use and extend recently developed techniques to give a rigorous derivation of the asymptotic formula for the ground-state energy of a dilute gas of N fermions interacting with a short-range, positive potential of scattering length a. For spin-12 fermions, this is E∼E0+(22m)2πNa, where E0 is the energy of the noninteracting system and is the density. A similar formula holds in two dimensions (2D), with a replaced by ln(a2). Obviously this 2D energy is not the expectation value of a density-independent pseudopotential.},
author = {Lieb, Élliott H and Robert Seiringer and Solovej, Jan P},
journal = {Physical Review A - Atomic, Molecular, and Optical Physics},
number = {5},
publisher = {American Physical Society},
title = {{Ground state energy of the low density Fermi gas}},
doi = {10.1103/PhysRevA.71.053605},
volume = {71},
year = {2005},
}
@article{2867,
abstract = {The plant hormone auxin elicits many specific context-dependent developmental responses. Auxin promotes degradation of Aux/IAA proteins that prevent transcription factors of the auxin response factor (ARF) family from regulating auxin-responsive target genes. Aux/IAAs and ARFs are represented by large gene families in Arabidopsis. Here we show that stabilization of BDL/IAA12 or its sister protein IAA13 prevents MP/ARF5-dependent embryonic root formation whereas stabilized SHY2/IAA3 interferes with seedling growth. Although both bdl and shy2-2 proteins inhibited MP/ARF5-dependent reporter gene activation, shy2-2 was much less efficient than bdl to interfere with embryonic root initiation when expressed from the BDL promoter. Similarly, MP was much more efficient than ARF16 in this process. When expressed from the SHY2 promoter, both shy2-2 and bdl inhibited cell elongation and auxin-induced gene expression in the seedling hypocotyl. By contrast, gravitropism and auxin-induced gene expression in the root, which were promoted by functionally redundant NPH4/ARF7 and ARF19 proteins, were inhibited by shy2-2, but not by bdl protein. Our results suggest that auxin signals are converted into specific responses by matching pairs of coexpressed ARF and Aux/IAA proteins.},
author = {Weijers, Dolf and Eva Benková and Jäger, Katja E and Schlereth, Alexandra and Hamann, Thorsten and Kientz, Marika and Wilmoth, Jill C and Reed, Jason W and Jürgens, Gerd},
journal = {EMBO Journal},
number = {10},
pages = {1874 -- 1885},
publisher = {Wiley-Blackwell},
title = {{Developmental specificity of auxin response by pairs of ARF and Aux/IAA transcriptional regulators}},
doi = {10.1038/sj.emboj.7600659},
volume = {24},
year = {2005},
}