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We analyze a new class of time-periodic nonreciprocal dynamics in interacting chaotic classical spin systems, whose equations of motion are conservative (phase-space-volume-preserving) yet possess no symplectic structure. As a result, the…

Statistical Mechanics · Physics 2023-11-09 Adam J. McRoberts , Hongzheng Zhao , Roderich Moessner , Marin Bukov

Small spin systems at the interface between analytical studies and experimental application have been intensively studied in recent decades. The spin ring consisting of four spins with uniform antiferromagnetic Heisenberg interaction is an…

Statistical Mechanics · Physics 2023-04-19 Heinz-Jürgen Schmidt , Christian Schröder

The identification of platforms with independently tunable nonlinearity and non-Hermiticity promises a quantitative route to far-from-equilibrium universality across many-body systems. Here we show that a conventional ferromagnetic…

Mesoscale and Nanoscale Physics · Physics 2026-03-16 Vincent Flynn , Benedetta Flebus

Non-Hermitian systems have been discussed mostly in the context of open systems and nonequilibrium. Recent experimental progress is much from optical, cold-atomic, and classical platforms due to the vast tunability and clear identification…

Mesoscale and Nanoscale Physics · Physics 2024-01-25 Xiao-Xiao Zhang , Naoto Nagaosa

We consider the increase of the spatial variance of some inhomogeneous, non-equilibrium density (particles, energy, etc.) in a periodic quantum system of condensed matter-type. This is done for a certain class of initial quantum states…

Statistical Mechanics · Physics 2009-10-23 Robin Steinigeweg , Hannu Wichterich , Jochen Gemmer

In this paper we present a self-contained macroscopic description of diffusive systems interacting with boundary reservoirs and under the action of external fields. The approach is based on simple postulates which are suggested by a wide…

Statistical Mechanics · Physics 2015-12-18 L. Bertini , A. De Sole , D. Gabrielli , G. Jona-Lasinio , C. Landim

Classical nonlinear theories are highly successful in describing far-from-equilibrium dynamics of magnets, encompassing phenomena such as parametric resonance, ultrafast switching, and even chaos. However, at ultrashort length and time…

Mesoscale and Nanoscale Physics · Physics 2025-12-15 Lukas Körber , Pim Coenders , Johan H. Mentink

Higher-order dispersion can lead to intriguing dynamics that are becoming a focus of modern hydrodynamics research. Such systems occur naturally, for example in shallow water waves and nonlinear optics, for which several types of novel…

Quantum Gases · Physics 2021-06-15 Maren E. Mossman , Edward S. Delikatny , Michael McNeil Forbes , Peter Engels

Considering the example of interacting Brownian particles we present a linear response derivation of the boundary condition for the corresponding hydrodynamic description (the diffusion equation). This requires us to identify a non-analytic…

Statistical Mechanics · Physics 2009-11-07 M. Fuchs , K. Kroy

Collective motion is often modeled within the framework of active fluids, where the constituent active particles, when interactions with other particles are switched off, perform normal diffusion at long times. However, in biology,…

Statistical Mechanics · Physics 2020-04-02 Andrea Cairoli , Chiu Fan Lee

In this paper we consider a diffusion process obtained as a small random perturbation of a dynamical system attracted to a stable equilibrium point. The drift and the diffusive perturbation are assumed to evolve slowly in time. We describe…

Probability · Mathematics 2016-10-23 Mark Freidlin , Leonid Koralov

Mixed quantum-classical spin systems have been proposed in spin chain theory and, more recently, in magnon spintronics. However, current models of quantum-classical dynamics beyond mean-field approximations typically suffer from…

Quantum Physics · Physics 2023-03-10 François Gay-Balmaz , Cesare Tronci

Dipole-conserving fluids serve as examples of kinematically constrained systems that can be understood on the basis of symmetry. They are known to display various exotic features including glassylike dynamics, subdiffusive transport, and…

Strongly Correlated Electrons · Physics 2023-04-18 Aleksander Głódkowski , Francisco Peña-Benítez , Piotr Surówka

Based on the modelling of quantum systems with the aid of (classical) non-equilibrium thermodynamics, both the emergence and the collapse of the superposition principle are understood within one and the same framework. Both are shown to…

Quantum Physics · Physics 2010-08-31 Gerhard Groessing , Siegfried Fussy , Johannes Mesa Pascasio , Herbert Schwabl

An outstanding challenge in large-scale quantum platforms is to simultaneously achieve strong interactions, giving rise to the most interesting behaviors, and local addressing -that can probe them. In the context of correlated phases, local…

Quantum Physics · Physics 2023-08-02 Pai Peng , Bingtian Ye , Norman Y. Yao , Paola Cappellaro

A single mechanism, endemic to the standard model of physics, is proposed to explain wavefunction collapse, classical motion, dissipation, equilibration, and the transition from pure quantum mechanics through open system decoherence to the…

General Physics · Physics 2024-09-23 J. H. Brownell

At high temperature, generic strongly interacting spin systems are expected to display hydrodynamics: local transport of conserved quantities, governed by classical partial differential equations like the diffusion equation. I argue that…

Strongly Correlated Electrons · Physics 2023-05-05 Christopher David White

In general we are interested in dynamical systems coupled to complex hysteresis. Therefore as a first step we investigated recently the dynamics of a periodically driven damped harmonic oscillator coupled to independent Ising spins in a…

Chaotic Dynamics · Physics 2021-12-08 Paul Zech , Andreas Otto , Günter Radons

The hydrodynamic formulation of quantum mechanics is used to elucidate the mechanism for decoherence, the suppression of interference effects in a system evolving from an initial coherent superposition. Analysis of time-dependent trajectory…

Quantum Physics · Physics 2007-05-23 Kyungsun Na , Robert E. Wyatt

We report the emergence of large-scale hyperuniformity in microfluidic emulsions. Upon periodic driving confined emulsions undergo a first-order transition from a reversible to an irreversible dynamics. We evidence that this dynamical…

Soft Condensed Matter · Physics 2015-09-09 Joost H. Weijs , Raphaël Jeanneret , Rémi Dreyfus , Denis Bartolo
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