Article
Physics, Mathematical
Kevin Yang
Summary: We prove that the height function of non-simple exclusion processes with arbitrary jump-length converges to the solution of the Kardar-Parisi-Zhang SPDE under suitable scaling and renormalization. This extends the previous works by Dembo and Tsai (2016) for arbitrary jump-length and by Goncalves and Jara (2017) for the non-stationary regime. Our findings provide answers to important questions in the field of KPZ and contribute to the understanding of weak KPZ universality in non-integrable and non-stationary particle systems.
COMMUNICATIONS IN MATHEMATICAL PHYSICS
(2023)
Article
Physics, Multidisciplinary
Zi Cai
Summary: In this Letter, the mean-field dynamics of a general class of many-body systems with stochastically fluctuating interactions are studied, revealing a universal algebraic decay pattern. It is shown that such dynamics can be understood as a diffusive process with a time-dependent diffusion coefficient.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Multidisciplinary
Tomotaka Kuwahara, Keiji Saito
Summary: This study disproves fast scrambling in generic long-range interacting systems with alpha > D, where the OTOC shows a polynomial growth over time as long as alpha > D and the necessary scrambling time over a distance R is larger than t greater than or similar to R[(2 alpha-2D)/(2 alpha-D+1)].
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Multidisciplinary
Chufan Lyu, Xiaoyu Tang, Junning Li, Xusheng Xu, Man-Hong Yung, Abolfazl Bayat
Summary: Current quantum simulators face limitations in coherence time, operations quality, readout accuracy, and qubit connectivity. Variational quantum algorithms are the most promising approach for near-term practical quantum advantage. This study explores variational quantum algorithms with different qubit connectivity levels for digital simulation of long-range interacting systems and generation of spin squeezed states. The results show that longer-range interactions decrease the efficiency and fidelity of the algorithms, requiring more optimization iterations. Increasing qubit connectivity improves results with fewer resources. Mixing circuit layers with different connectivity levels can significantly enhance performance. The same circuit design can also be used for variational spin squeezed state generation for quantum metrology.
NEW JOURNAL OF PHYSICS
(2023)
Article
Optics
Darvin Wanisch, Stephan Fritzsche
Summary: In the nonequilibrium dynamics of the XY spin chain with asymptotically decaying interactions, the localization or delocalization of quantum information depends on the speed of interaction decay. Fast interaction decay leads to delocalized quantum information requiring global measurements, while slow decay allows for quasi-instantaneous propagation but mainly accessible by local measurements at early times. Our findings suggest that entanglement is the dominant correlation in fast decay scenarios, whereas it takes some time for correlations to become monogamous in slow decay scenarios.
Article
Materials Science, Multidisciplinary
Tianci Zhou, Andrew Guo, Shenglong Xu, Xiao Chen, Brian Swingle
Summary: The FKPP equation provides a mean-field theory for out-of-time ordered commutators in quantum chaotic systems. The fractional-derivative FKPP equation offers a mean-field theory for systems with power-law interactions. However, the fractional FKPP description is subject to strong quantum fluctuation effects, and its effectiveness for generic chaotic systems with power-law interactions is unclear. This study investigates this problem using a model of coupled quantum dots and demonstrates that the parameters of the effective theory can be chosen to reproduce the previously found butterfly light cone scalings.
Article
Statistics & Probability
Pedro Cardoso, Patricia Goncalves, Byron Jimenez-Oviedo
Summary: In this article, we investigate the equilibrium fluctuations of a symmetric exclusion process in Z with long jumps. The jump probability from x to y is proportional to |x - y|-gamma -1. By choosing gamma > 2, the system exhibits diffusive behavior. Furthermore, the jump rates are slowed down when particles move between negative integers sites and sites in N. Depending on the values of beta and gamma, different stochastic partial differential equations are obtained, corresponding to different types of boundary conditions.
STOCHASTIC PROCESSES AND THEIR APPLICATIONS
(2023)
Article
Physics, Multidisciplinary
D. M. Busiello, C. E. Fiore
Summary: The study introduces a generalized empirical current for measuring thermodynamic observables of mesoscopic systems, whose fluctuations satisfy the thermodynamic uncertainty relations and are bounded by the average entropy production. A general closed expression for hyperaccurate current in discrete-state Markovian systems is derived, showing a tighter bound than the one from TURs.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Materials Science, Multidisciplinary
Alan Morningstar, Nicholas O'Dea, Jonas Richter
Summary: In systems with conserved density, the additional conservation of the center of mass has been found to slow down hydrodynamics. However, long-range interactions generally result in faster transport and information propagation. In this study, we investigate the competition between these two effects and develop a hydrodynamic theory for long-range center-of-mass-conserving systems, showing a rich dynamical phase diagram with varying dynamical exponents.
Article
Multidisciplinary Sciences
Andrea Pizzi, Johannes Knolle, Andreas Nunnenkamp
Summary: Researchers have found that in the presence of long-range interactions and transverse fields, a clean spin-1/2 system can support a variety of different 'higher-order' discrete time crystals with integer and even fractional values of n. These phases, characterized as arguably prethermal non-equilibrium states, are stable in models with continuous driving and time-independent interactions, making them suitable for experimental implementations using ultracold atoms or trapped ions.
NATURE COMMUNICATIONS
(2021)
Article
Physics, Multidisciplinary
Maxwell Block, Yimu Bao, Soonwon Choi, Ehud Altman, Norman Y. Yao
Summary: The presence of long-range power-law interactions fundamentally alters the nature of the transition between scrambling unitary evolution and projective measurements in the dynamics of quantum entanglement. For sufficiently weak power laws, the transition induced by measurements is described by conformal field theory, similar to short-range-interacting hybrid circuits. However, beyond a critical power law, long-range interactions result in a continuum of nonconformal universality classes with continuously varying critical exponents. The phase diagram for a one-dimensional, long-range-interacting hybrid circuit model is numerically determined as a function of the power-law exponent and the measurement rate. Furthermore, a theoretical understanding for the critical power law is provided by using an analytic mapping to a long-range quantum Ising model.
PHYSICAL REVIEW LETTERS
(2022)
Article
Materials Science, Multidisciplinary
T. Botzung, D. Hagenmueller, G. Masella, J. Dubail, N. Defenu, A. Trombettoni, G. Pupillo
Summary: This study investigates the ground state properties of one-dimensional hard-core bosons interacting via a variable long-range potential using the density matrix renormalization group. It is found that rescaling the interaction potential with Kac's prescription has a profound influence on the low-energy properties in the thermodynamic limit, leading to a new metallic phase. A scheme for observing this new phase using cavity-mediated long-range interactions with cold atoms is discussed.
Article
Physics, Multidisciplinary
Fabio Mueller, Henrik Christiansen, Stefan Schnabel, Wolfhard Janke
Summary: We present a fast, hierarchical, and adaptive algorithm for Metropolis Monte Carlo simulations of systems with long-range interactions that reproduces the dynamics of a standard implementation exactly. The method allows for nonequilibrium studies and has been demonstrated for various systems in two dimensions. The measured run times support an average complexity O(N log N), with small prefactors resulting in speedup factors larger than 104. This general method enables the treatment of large systems that were previously inaccessible and may lead to a better understanding of physical phenomena rooted in long-range interactions.
Article
Materials Science, Multidisciplinary
Gianluca Passarelli, Procolo Lucignano, Rosario Fazio, Angelo Russomanno
Summary: This study relaxes the conditions for the formation of time crystals, showing that time-translation-symmetry-breaking collective oscillations still persist in systems without spin symmetry. By engineering a specific Lindbladian model, a rich phase diagram, including the time-crystal phase and different types of transitions, is revealed. The magnetization dynamics are also studied in the mean-field approximation.
Article
Physics, Mathematical
Wei Liu, Liming Wu, Chaoen Zhang
Summary: In this paper, concentration inequalities, exponential convergence in the Wasserstein metric W-1, and uniform-in-time propagation of chaos for the mean-field weakly interacting particle system related to McKean-Vlasov equation are investigated. Explicit estimates for these three problems are obtained, avoiding technical conditions in known results. Results apply to possibly multi-well confinement potentials and interaction potentials with bounded second mixed derivatives, with examples provided to illustrate the results.
COMMUNICATIONS IN MATHEMATICAL PHYSICS
(2021)
Article
Mechanics
Debraj Das, Shamik Gupta
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2019)
Article
Mechanics
Gervais Nazaire Beukam Chendjou, Jean Pierre Nguenang, Andrea Trombettoni, Thierry Dauxois, Ramaz Khomeriki, Stefano Ruffo
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2019)
Article
Physics, Multidisciplinary
Geraldine Davis, Timothee Jamin, Julie Deleuze, Sylvain Joubaud, Thierry Dauxois
PHYSICAL REVIEW LETTERS
(2020)
Article
Physics, Fluids & Plasmas
Pauline Husseini, Dheeraj Varma, Thierry Dauxois, Sylvain Joubaud, Philippe Odier, Manikandan Mathur
PHYSICAL REVIEW FLUIDS
(2020)
Article
Mechanics
Timothee Jamin, Takeshi Kataoka, Thierry Dauxois, T. R. Akylas
Summary: The study investigates the evolution of mean flow induced by a three-dimensional propagating internal gravity wave beam in a uniformly stratified fluid, revealing three distinct stages: resonant growth, saturation of streaming and onset of horizontal advection, and establishment of a quasi-steady state. The theoretical model proposed in this study, which extends previous work by accounting for horizontal advection and viscous diffusion effects, is in excellent agreement with experimental observations and numerical simulations.
JOURNAL OF FLUID MECHANICS
(2021)
Article
Physics, Fluids & Plasmas
T. Dauxois, T. Peacock, P. Bauer, C. P. Caulfield, C. Cenedese, C. Gorle, G. Haller, G. N. Ivey, P. F. Linden, E. Meiburg, N. Pinardi, N. M. Vriend, A. W. Woods
Summary: Environmental fluid mechanics is essential for addressing natural, industrial, and societal challenges. A workshop was organized to gather leading figures in the field and discuss five subject areas for the scientific community, aiming to provide a resource for future research.
PHYSICAL REVIEW FLUIDS
(2021)
Article
Mechanics
Yohei Onuki, Sylvain Joubaud, Thierry Dauxois
Summary: A new technique was developed to assess internal wave-driven mixing in the ocean through direct numerical simulations of stratified turbulence. The study found that the external wave can directly supply energy for turbulence and mixing, and the mixing coefficient tends to increase with the Fr number of the external wave. Disturbances in the model go through two stages, converting wave energy into turbulence energy and eventually dissipating it.
JOURNAL OF FLUID MECHANICS
(2021)
Article
Mechanics
S. Boury, I. Sibgatullin, E. Ermanyuk, N. Shmakova, P. Odier, S. Joubaud, L. R. M. Maas, T. Dauxois
Summary: This study investigates the nonlinear dynamics of an inertial wave attractor in an axisymmetric geometrical setting both experimentally and numerically. The results show the development of a slow two-dimensional manifold and various dynamic regimes, such as triadic resonance instability and inertial wave turbulence, confirming the experimental observation of a polygonal vortex cluster. The formation and long-term fate of these vortex clusters resulting from merging wave-like components of the vorticity field remain to be explored.
JOURNAL OF FLUID MECHANICS
(2021)
Article
Mechanics
B. R. Sutherland, Y. Ma, M. R. Flynn, D. Frank, P. F. Linden, D. Lemasquerier, M. Le Bars, C. Pacary, T. Jamin, T. Dauxois, S. Joubaud
Summary: Through laboratory experiments and numerical simulations, it was found that rotation does not directly affect buoyant plumes in a uniform density ambient fluid with a sufficiently large source Rossby number. However, on a time scale of half a rotation period, the plume becomes deflected and may even form tornadoes. The likelihood of tornado formation is higher in plumes with a 'lazy' nature, as it is a result of competing dynamics occurring on comparable time scales.
JOURNAL OF FLUID MECHANICS
(2021)
Article
Physics, Fluids & Plasmas
Daniel Odens Mora, Eduardo Monsalve, Maxime Brunet, Thierry Dauxois, Pierre-Philippe Cortet
Summary: By theoretical analysis and numerical integration, we investigated the triadic resonance instability (TRI) of a plane inertial wave in a rotating fluid, showing that the maximum growth rate of the TRI is found for secondary waves that do not propagate in the same vertical plane as the primary wave. Experimental evidence confirms the three-dimensional nature of the TRI of a plane inertial wave, with wave vectors of secondary waves matching theoretical predictions based on the maximum growth rate criterion.
PHYSICAL REVIEW FLUIDS
(2021)
Article
Physics, Multidisciplinary
David Metivier, Lucas Wetzel, Shamik Gupta
PHYSICAL REVIEW RESEARCH
(2020)
Article
Physics, Fluids & Plasmas
Mrinal Sarkar, Shamik Gupta
Article
Physics, Fluids & Plasmas
V. K. Chandrasekar, M. Manoranjani, Shamik Gupta
Article
Physics, Fluids & Plasmas
Vazha Loladze, Thierry Dauxois, Ramaz Khomeriki, Stefano Ruffo
Article
Materials Science, Multidisciplinary
Sourav Biswas, Clemens B. Winkelmann, Herve Courtois, Thierry Dauxois, Hillol Biswas, Anjan K. Gupta