@article{3037,
author = {Feraru, Elena and Friml, Jirí},
journal = {Plant Physiology},
number = {4},
pages = {1553 -- 1559},
publisher = {American Society of Plant Biologists},
title = {{PIN polar targeting}},
doi = {10.1104/pp.108.121756},
volume = {147},
year = {2008},
}
@article{1763,
abstract = {The field of cavity quantum electrodynamics (QED), traditionally studied in atomic systems, has gained new momentum by recent reports of quantum optical experiments with solid-state semiconducting and superconducting systems. In cavity QED, the observation of the vacuum Rabi mode splitting is used to investigate the nature of matter-light interaction at a quantum-mechanical level. However, this effect can, at least in principle, be explained classically as the normal mode splitting of two coupled linear oscillators. It has been suggested that an observation of the scaling of the resonant atom-photon coupling strength in the Jaynes-Cummings energy ladder with the square root of photon number n is sufficient to prove that the system is quantum mechanical in nature. Here we report a direct spectroscopic observation of this characteristic quantum nonlinearity. Measuring the photonic degree of freedom of the coupled system, our measurements provide unambiguous spectroscopic evidence for the quantum nature of the resonant atom-field interaction in cavity QED. We explore atom-photon superposition states involving up to two photons, using a spectroscopic pump and probe technique. The experiments have been performed in a circuit QED set-up, in which very strong coupling is realized by the large dipole coupling strength and the long coherence time of a superconducting qubit embedded in a high-quality on-chip microwave cavity. Circuit QED systems also provide a natural quantum interface between flying qubits (photons) and stationary qubits for applications in quantum information processing and communication.},
author = {Johannes Fink and Göppl, M and Baur, Matthias P and Bianchetti, R and Leek, Peter J and Blais, Alexandre and Wallraff, Andreas},
journal = {Nature},
number = {7202},
pages = {315 -- 318},
publisher = {Nature Publishing Group},
title = {{Climbing the Jaynes-Cummings ladder and observing its √n nonlinearity in a cavity QED system}},
doi = {10.1038/nature07112},
volume = {454},
year = {2008},
}
@article{1765,
abstract = {High quality on-chip microwave resonators have recently found prominent new applications in quantum optics and quantum information processing experiments with superconducting electronic circuits, a field now known as circuit quantum electrodynamics (QED). They are also used as single photon detectors and parametric amplifiers. Here we analyze the physical properties of coplanar waveguide resonators and their relation to the materials properties for use in circuit QED. We have designed and fabricated resonators with fundamental frequencies from 2 to 9 GHz and quality factors ranging from a few hundreds to a several hundred thousands controlled by appropriately designed input and output coupling capacitors. The microwave transmission spectra measured at temperatures of 20 mK are shown to be in good agreement with theoretical lumped element and distributed element transmission matrix models. In particular, the experimentally determined resonance frequencies, quality factors, and insertion losses are fully and consistently explained by the two models for all measured devices. The high level of control and flexibility in design renders these resonators ideal for storing and manipulating quantum electromagnetic fields in integrated superconducting electronic circuits.},
author = {Göppl, M and Fragner, A and Baur, Matthias P and Bianchetti, R and Filipp, Stefan and Johannes Fink and Leek, Peter J and Puebla, G and Steffen, L. Kraig and Wallraff, Andreas},
journal = {Journal of Applied Physics},
number = {11},
publisher = {American Institute of Physics},
title = {{Coplanar waveguide resonators for circuit quantum electrodynamics}},
doi = {10.1063/1.3010859},
volume = {104},
year = {2008},
}
@article{965,
abstract = {We give many examples of applying Bogoliubov's forest formula to iterative solutions of various nonlinear equations. The same formula describes an extremely wide class of objects, from an ordinary quadratic equation to renormalization in quantum field theory.},
author = {Morozov, Alexei Y and Maksym Serbyn},
journal = {Theoretical and Mathematical Physics},
number = {2},
pages = {270 -- 293},
publisher = {Elsevier},
title = {{Nonlinear algebra and Bogoliubov's recursion}},
doi = {10.1007/s11232-008-0026-7},
volume = {154},
year = {2008},
}
@article{1460,
abstract = {We calculate the E-polynomials of certain twisted GL(n,ℂ)-character varieties Mn of Riemann surfaces by counting points over finite fields using the character table of the finite group of Lie-type GL(n, q) and a theorem proved in the appendix by N. Katz. We deduce from this calculation several geometric results, for example, the value of the topological Euler characteristic of the associated PGL(n,ℂ)-character variety. The calculation also leads to several conjectures about the cohomology of Mn: an explicit conjecture for its mixed Hodge polynomial; a conjectured curious hard Lefschetz theorem and a conjecture relating the pure part to absolutely indecomposable representations of a certain quiver. We prove these conjectures for n=2.},
author = {Tamas Hausel and Rodríguez Villegas, Fernando},
journal = {Inventiones Mathematicae},
number = {3},
pages = {555 -- 624},
publisher = {Springer},
title = {{Mixed Hodge polynomials of character varieties: With an appendix by Nicholas M. Katz}},
doi = {10.1007/s00222-008-0142-x},
volume = {174},
year = {2008},
}