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The spread and scrambling of quantum information is a topic of considerable current interest. Numerous studies suggest that quantum information evolves according to hydrodynamical equations of motion, even though it is a starkly different…

量子物理 · 物理学 2024-07-03 Ewan McCulloch , C. W. von Keyserlingk

In systems with a conserved density, the additional conservation of the center of mass (dipole moment) has been shown to slow down the associated hydrodynamics. At the same time, long-range interactions generally lead to faster transport…

统计力学 · 物理学 2023-07-27 Alan Morningstar , Nicholas O'Dea , Jonas Richter

We study the dynamics of a classical circuit corresponding to a discrete-time kinetically constrained East model. We show that this classical "Floquet-East" model displays pre-transition behaviour which is a dynamical equivalent of the…

统计力学 · 物理学 2024-09-18 Katja Klobas , Cecilia De Fazio , Juan P. Garrahan

We consider the out-of-equilibrium dynamics of an interacting integrable system in the presence of an external dephasing noise. In the limit of large spatial correlation of the noise, we develop an exact description of the dynamics of the…

统计力学 · 物理学 2020-10-21 Alvise Bastianello , Jacopo De Nardis , Andrea De Luca

We study the dynamics of periodically-kicked many-body systems away from the high-frequency regime, and discuss a family of Floquet systems where the notion of prethermalization can be naturally extended to intermediate and low driving…

统计力学 · 物理学 2021-05-05 Christoph Fleckenstein , Marin Bukov

We introduce a stochastic generalisation of the classical deterministic Floquet-East model, a discrete circuit with the same kinetic constraint as the East model of glasses. We prove exactly that, in the limit of long time and large size,…

统计力学 · 物理学 2025-01-29 Cecilia De Fazio , Juan P. Garrahan , Katja Klobas

The scrambling of quantum information in closed many-body systems, as measured by out-of-time-ordered correlation functions (OTOCs), has lately received considerable attention. Recently, a hydrodynamical description of OTOCs has emerged…

统计力学 · 物理学 2018-09-12 Tibor Rakovszky , Frank Pollmann , C. W. von Keyserlingk

Hydrodynamic behavior is a general feature of interacting systems with many degrees of freedom constrained by conservation laws. To date hydrodynamic scaling in relativistic quantum systems has been observed in many high energy settings,…

高能物理 - 唯象学 · 物理学 2009-11-07 Luis M. A. Bettencourt , Fred Cooper , Karen Pao

Hydrodynamic equations (HDEQs) are derived which describe spatio-temporal evolutions of the electron temperature and the chemical potential of two-dimensional systems in strong magnetic fields in states with large diagonal resistivity…

介观与纳米尺度物理 · 物理学 2009-11-07 Hiroshi Akera

Thermodynamics, introduced over two centuries ago, remains foundational to our understanding of physical, chemical, biological, and engineering systems. Its principles are traditionally grounded in the statistical mechanics framework, which…

化学物理 · 物理学 2025-06-30 Małgorzata J. Zimoń , Fausto Martelli

The large-deviation method can be used to study the measurement trajectories of open quantum systems. For optical arrangements this formalism allows to describe the long time properties of the (non-equilibrium) photon counting statistics in…

量子物理 · 物理学 2010-12-06 Adrian A. Budini

This work investigates the out-of-equilibrium dynamics of dipole and higher-moment conserving systems with long-range interactions, drawing inspiration from trapped ion experiments in strongly tilted potentials. We introduce a hierarchical…

统计力学 · 物理学 2023-11-14 Jacopo Gliozzi , Julian May-Mann , Taylor L. Hughes , Giuseppe De Tomasi

We study the stroboscopic dynamics of a spin-$S$ object subjected to $\delta$-function kicking in the transverse magnetic field which is generated following the Fibonacci sequence. The corresponding classical Hamiltonian map is constructed…

统计力学 · 物理学 2019-11-27 Sayak Ray , Subhasis Sinha , Diptiman Sen

A formalism for studying the dynamics of quantum systems embedded in classical spin baths is introduced. The theory is based on generalized antisymmetric brackets and predicts the presence of open-path off-diagonal geometric phases in the…

量子物理 · 物理学 2016-10-21 Alessandro Sergi

A Floquet quantum system is governed by a Hamiltonian that is periodic in time. Consider the space of piecewise time-independent Floquet systems with (geometrically) local interactions. We prove that for all but a measure zero set of…

量子物理 · 物理学 2024-07-18 Yichen Huang

Hydrodynamic theories effectively describe many-body systems out of equilibrium in terms of a few macroscopic parameters. However, such hydrodynamic parameters are difficult to derive from microscopics. Seldom is this challenge more…

We study the large-time behavior of hydrodynamic model which describes the collective behavior of continuum of agents, driven by pairwise alignment interactions with additional external potential forcing. The external force tends to compete…

偏微分方程分析 · 数学 2020-07-15 Ruiwen Shu , Eitan Tadmor

We construct a quantum Schwinger-Keldysh (SK) effective field theory for the diffusive hydrodynamics of a conserved scalar field. Quantum corrections within the SK framework are guided by fluctuation-dissipation relations, enforced via a…

高能物理 - 理论 · 物理学 2026-01-30 Akash Jain

In this article we derive and test the fluctuating hydrodynamic description of active particles interacting via taxis and quorum sensing, both for mono-disperse systems and for mixtures of co-existing species of active particles. We compute…

统计力学 · 物理学 2025-01-14 Alberto Dinelli , Jérémy O'Byrne , Julien Tailleur

We study dynamics of a locally conserved energy in ergodic, local many-body quantum systems on a lattice with no additional symmetry. The resulting dynamics is well approximated by a coarse grained, classical linear functional diffusion…

统计力学 · 物理学 2019-02-13 Tom Banks , Andrew Lucas