TY - JOUR
AB - Lateral root (LR) formation is an example of a plant post-embryonic organogenesis event. LRs are issued from non-dividing cells entering consecutive steps of formative divisions, proliferation and elongation. The chromatin remodeling protein PICKLE (PKL) negatively regulates auxin-mediated LR formation through a mechanism that is not yet known. Here we show that PKL interacts with RETINOBLASTOMA-RELATED 1 (RBR1) to repress the LATERAL ORGAN BOUNDARIES-DOMAIN 16 (LBD16) promoter activity. Since LBD16 function is required for the formative division of LR founder cells, repression mediated by the PKL–RBR1 complex negatively regulates formative division and LR formation. Inhibition of LR formation by PKL–RBR1 is counteracted by auxin, indicating that, in addition to auxin-mediated transcriptional responses, the fine-tuned process of LR formation is also controlled at the chromatin level in an auxin-signaling dependent manner.
AU - Ötvös, Krisztina
AU - Miskolczi, Pál
AU - Marhavý, Peter
AU - Cruz-Ramírez, Alfredo
AU - Benková, Eva
AU - Robert, Stéphanie
AU - Bakó, László
ID - 9332
IS - 8
JF - International Journal of Molecular Sciences
SN - 16616596
TI - Pickle recruits retinoblastoma related 1 to control lateral root formation in arabidopsis
VL - 22
ER -
TY - JOUR
AB - We revise a previous result about the Fröhlich dynamics in the strong coupling limit obtained in Griesemer (Rev Math Phys 29(10):1750030, 2017). In the latter it was shown that the Fröhlich time evolution applied to the initial state φ0⊗ξα, where φ0 is the electron ground state of the Pekar energy functional and ξα the associated coherent state of the phonons, can be approximated by a global phase for times small compared to α2. In the present note we prove that a similar approximation holds for t=O(α2) if one includes a nontrivial effective dynamics for the phonons that is generated by an operator proportional to α−2 and quadratic in creation and annihilation operators. Our result implies that the electron ground state remains close to its initial state for times of order α2, while the phonon fluctuations around the coherent state ξα can be described by a time-dependent Bogoliubov transformation.
AU - Mitrouskas, David Johannes
ID - 9333
JF - Letters in Mathematical Physics
SN - 03779017
TI - A note on the Fröhlich dynamics in the strong coupling limit
VL - 111
ER -
TY - JOUR
AB - Quantum entanglement has been generated and verified in cold-atom experiments and used to make atom-interferometric measurements below the shot-noise limit. However, current state-of-the-art cold-atom devices exploit separable (i.e., unentangled) atomic states. This perspective piece asks the question: can entanglement usefully improve cold-atom sensors, in the sense that it gives new sensing capabilities unachievable with current state-of-the-art devices? We briefly review the state-of-the-art in precision cold-atom sensing, focusing on clocks and inertial sensors, identifying the potential benefits entanglement could bring to these devices, and the challenges that need to be overcome to realize these benefits. We survey demonstrated methods of generating metrologically useful entanglement in cold-atom systems, note their relative strengths and weaknesses, and assess their prospects for near-to-medium term quantum-enhanced cold-atom sensing.
AU - Szigeti, Stuart S.
AU - Hosten, Onur
AU - Haine, Simon A.
ID - 9331
IS - 14
JF - Applied Physics Letters
SN - 00036951
TI - Improving cold-atom sensors with quantum entanglement: Prospects and challenges
VL - 118
ER -
TY - JOUR
AB - Polaritons with directional in-plane propagation and ultralow losses in van der Waals (vdW) crystals promise unprecedented manipulation of light at the nanoscale. However, these polaritons present a crucial limitation: their directional propagation is intrinsically determined by the crystal structure of the host material, imposing forbidden directions of propagation. Here, we demonstrate that directional polaritons (in-plane hyperbolic phonon polaritons) in a vdW crystal (α-phase molybdenum trioxide) can be directed along forbidden directions by inducing an optical topological transition, which emerges when the slab is placed on a substrate with a given negative permittivity (4H–silicon carbide). By visualizing the transition in real space, we observe exotic polaritonic states between mutually orthogonal hyperbolic regimes, which unveil the topological origin of the transition: a gap opening in the dispersion. This work provides insights into optical topological transitions in vdW crystals, which introduce a route to direct light at the nanoscale.
AU - Duan, J.
AU - Álvarez-Pérez, G.
AU - Voronin, K. V.
AU - Prieto Gonzalez, Ivan
AU - Taboada-Gutiérrez, J.
AU - Volkov, V. S.
AU - Martín-Sánchez, J.
AU - Nikitin, A. Y.
AU - Alonso-González, P.
ID - 9334
IS - 14
JF - Science Advances
TI - Enabling propagation of anisotropic polaritons along forbidden directions via a topological transition
VL - 7
ER -
TY - JOUR
AB - Various degenerate diffusion equations exhibit a waiting time phenomenon: depending on the “flatness” of the compactly supported initial datum at the boundary of the support, the support of the solution may not expand for a certain amount of time. We show that this phenomenon is captured by particular Lagrangian discretizations of the porous medium and the thin film equations, and we obtain sufficient criteria for the occurrence of waiting times that are consistent with the known ones for the original PDEs. For the spatially discrete solution, the waiting time phenomenon refers to a deviation of the edge of support from its original position by a quantity comparable to the mesh width, over a mesh-independent time interval. Our proof is based on estimates on the fluid velocity in Lagrangian coordinates. Combining weighted entropy estimates with an iteration technique à la Stampacchia leads to upper bounds on free boundary propagation. Numerical simulations show that the phenomenon is already clearly visible for relatively coarse discretizations.
AU - Fischer, Julian L
AU - Matthes, Daniel
ID - 9335
IS - 1
JF - SIAM Journal on Numerical Analysis
SN - 0036-1429
TI - The waiting time phenomenon in spatially discretized porous medium and thin film equations
VL - 59
ER -
TY - JOUR
AB - This paper provides an a priori error analysis of a localized orthogonal decomposition method for the numerical stochastic homogenization of a model random diffusion problem. If the uniformly elliptic and bounded random coefficient field of the model problem is stationary and satisfies a quantitative decorrelation assumption in the form of the spectral gap inequality, then the expected $L^2$ error of the method can be estimated, up to logarithmic factors, by $H+(\varepsilon/H)^{d/2}$, $\varepsilon$ being the small correlation length of the random coefficient and $H$ the width of the coarse finite element mesh that determines the spatial resolution. The proof bridges recent results of numerical homogenization and quantitative stochastic homogenization.
AU - Fischer, Julian L
AU - Gallistl, Dietmar
AU - Peterseim, Dietmar
ID - 9352
IS - 2
JF - SIAM Journal on Numerical Analysis
SN - 0036-1429
TI - A priori error analysis of a numerical stochastic homogenization method
VL - 59
ER -
TY - JOUR
AB - We consider the many-body quantum evolution of a factorized initial data, in the mean-field regime. We show that fluctuations around the limiting Hartree dynamics satisfy large deviation estimates that are consistent with central limit theorems that have been established in the last years.
AU - Kirkpatrick, Kay
AU - Rademacher, Simone Anna Elvira
AU - Schlein, Benjamin
ID - 9351
JF - Annales Henri Poincare
SN - 1424-0637
TI - A large deviation principle in many-body quantum dynamics
ER -
TY - JOUR
AB - We consider the stochastic quantization of a quartic double-well energy functional in the semiclassical regime and derive optimal asymptotics for the exponentially small splitting of the ground state energy. Our result provides an infinite-dimensional version of some sharp tunneling estimates known in finite dimensions for semiclassical Witten Laplacians in degree zero. From a stochastic point of view it proves that the L2 spectral gap of the stochastic one-dimensional Allen-Cahn equation in finite volume satisfies a Kramers-type formula in the limit of vanishing noise. We work with finite-dimensional lattice approximations and establish semiclassical estimates which are uniform in the dimension. Our key estimate shows that the constant separating the two exponentially small eigenvalues from the rest of the spectrum can be taken independently of the dimension.
AU - Brooks, Morris
AU - Di Gesù, Giacomo
ID - 9348
IS - 3
JF - Journal of Functional Analysis
SN - 00221236
TI - Sharp tunneling estimates for a double-well model in infinite dimension
VL - 281
ER -
TY - COMP
AB - This archive contains the missing sweater mesh animations and displacement models for the code of "Mechanics-Aware Deformation of Yarn Pattern Geometry"
Code Repository: https://git.ist.ac.at/gsperl/MADYPG
AU - Sperl, Georg
AU - Narain, Rahul
AU - Wojtan, Christopher J
ID - 9327
TI - Mechanics-Aware Deformation of Yarn Pattern Geometry (Additional Animation/Model Data)
ER -
TY - JOUR
AB - The way in which interactions between mechanics and biochemistry lead to the emergence of complex cell and tissue organization is an old question that has recently attracted renewed interest from biologists, physicists, mathematicians and computer scientists. Rapid advances in optical physics, microscopy and computational image analysis have greatly enhanced our ability to observe and quantify spatiotemporal patterns of signalling, force generation, deformation, and flow in living cells and tissues. Powerful new tools for genetic, biophysical and optogenetic manipulation are allowing us to perturb the underlying machinery that generates these patterns in increasingly sophisticated ways. Rapid advances in theory and computing have made it possible to construct predictive models that describe how cell and tissue organization and dynamics emerge from the local coupling of biochemistry and mechanics. Together, these advances have opened up a wealth of new opportunities to explore how mechanochemical patterning shapes organismal development. In this roadmap, we present a series of forward-looking case studies on mechanochemical patterning in development, written by scientists working at the interface between the physical and biological sciences, and covering a wide range of spatial and temporal scales, organisms, and modes of development. Together, these contributions highlight the many ways in which the dynamic coupling of mechanics and biochemistry shapes biological dynamics: from mechanoenzymes that sense force to tune their activity and motor output, to collectives of cells in tissues that flow and redistribute biochemical signals during development.
AU - Lenne, Pierre François
AU - Munro, Edwin
AU - Heemskerk, Idse
AU - Warmflash, Aryeh
AU - Bocanegra, Laura
AU - Kishi, Kasumi
AU - Kicheva, Anna
AU - Long, Yuchen
AU - Fruleux, Antoine
AU - Boudaoud, Arezki
AU - Saunders, Timothy E.
AU - Caldarelli, Paolo
AU - Michaut, Arthur
AU - Gros, Jerome
AU - Maroudas-Sacks, Yonit
AU - Keren, Kinneret
AU - Hannezo, Edouard B
AU - Gartner, Zev J.
AU - Stormo, Benjamin
AU - Gladfelter, Amy
AU - Rodrigues, Alan
AU - Shyer, Amy
AU - Minc, Nicolas
AU - Maître, Jean Léon
AU - Di Talia, Stefano
AU - Khamaisi, Bassma
AU - Sprinzak, David
AU - Tlili, Sham
ID - 9349
IS - 4
JF - Physical biology
TI - Roadmap for the multiscale coupling of biochemical and mechanical signals during development
VL - 18
ER -