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In the presence of strong dephasing noise the dynamics of Rydberg gases becomes effectively classical, due to the rapid decay of quantum superpositions between atomic levels. Recently a great deal of attention has been devoted to the…

量子物理 · 物理学 2016-09-07 Emanuele Levi , Ricardo Gutierrez , Igor Lesanovsky

A system can be driven out of equilibrium by both time-dependent and nonconservative forces, which gives rise to a decomposition of the dissipation into two non-negative components, called the excess and housekeeping entropy productions. We…

统计力学 · 物理学 2023-05-31 Takuya Kamijima , Sosuke Ito , Andreas Dechant , Takahiro Sagawa

We consider the limiting behavior of fluctuations of small noise diffusions with multiple scales around their homogenized deterministic limit. We allow full dependence of the coefficients on the slow and fast motion. These processes arise…

概率论 · 数学 2015-02-20 Konstantinos Spiliopoulos

Nowadays many tools, e.g. fluctuation relations, are available to characterize the statistical properties of non-equilibrium systems. However, most of these tools rely on the assumption that the driving noise is normally distributed. Here…

统计力学 · 物理学 2023-11-29 Dario Lucente , Andrea Puglisi , Massimiliano Viale , Angelo Vulpiani

We analyze a class of linear shell models subject to stochastic forcing in finitely many degrees of freedom. The unforced systems considered formally conserve energy. Despite being formally conservative, we show that these dynamical systems…

数学物理 · 物理学 2009-11-11 Jonathan C. Mattingly , Toufic Suidan , Eric Vanden-Eijnden

Environment--induced decoherence causes entropy increase. It can be quantified using, e.g., the purity $\varsigma={\rm Tr}\rho^2$. When the Hamiltonian of a quantum system is perturbed, its sensitivity to such perturbation can be measured…

量子物理 · 物理学 2009-11-10 F. M. Cucchietti , D. A. R. Dalvit , J. P. Paz , W. H. Zurek

Non-Gaussian noise is omnipresent in systems where the central-limit theorem is inapplicable. We here investigate the stochastic thermodynamics of small systems that are described by a general Kramers-Moyal equation that includes both…

统计力学 · 物理学 2025-02-28 Arthur M. Faria , Marcus V. S. Bonanca , Eric Lutz

We investigate the stability properties of discrete and hybrid stochastic nonlinear dynamical systems. More precisely, we extend the stochastic contraction theorems (which were formulated for continuous systems) to the case of discrete and…

最优化与控制 · 数学 2008-04-08 Quang-Cuong Pham

We investigate the entropy production in the Di\'osi-Penrose (DP) model, one of the most extensively studied gravity-related collapse mechanisms, and one of its dissipative extensions. To this end, we analyze the behavior of a single…

量子物理 · 物理学 2025-02-06 Simone Artini , Gabriele Lo Monaco , Sandro Donadi , Mauro Paternostro

We elucidate the role that the dissipation in a bosonic channel plays in the prevalence and stability of time crystals (TCs) in a periodically driven spin-boson system described by the Dicke model. Here, the bosons are represented by…

量子物理 · 物理学 2023-07-11 Jayson G. Cosme , Jim Skulte , Ludwig Mathey

The fluctuation-dissipation (F-D) theorem is a fundamental result for systems near thermodynamic equilibrium, and justifies studies between microscopic and macroscopic properties. It states that the nonequilibrium relaxation dynamics is…

统计力学 · 物理学 2015-03-13 Jianhua Xing

We explore the properties of discrete-time stochastic processes with a bounded state space, whose deterministic limit is given by a map of the unit interval. We find that, in the mesoscopic description of the system, the large jumps between…

统计力学 · 物理学 2016-11-22 César Parra-Rojas , Joseph D. Challenger , Duccio Fanelli , Alan J. McKane

We consider an ensemble of coupled nonlinear noisy oscillators demonstrating in the thermodynamic limit an Ising-type transition. In the ordered phase and for finite ensembles stochastic flips of the mean field are observed with the rate…

统计力学 · 物理学 2009-11-07 A. Pikovsky , A. Zaikin , M. A. de la Casa

One dimensional systems are under intense investigation, both from theoretical and experimental points of view, since they have rather peculiar characteristics which are of both conceptual and technological interest. We analyze the…

统计力学 · 物理学 2013-05-29 Claudio Giberti , Lamberto Rondoni

In this paper we study time semi-discrete approximations of a class of exponentially stable infinite dimensional systems with unbounded feedbacks. It has recently been proved that for time semi-discrete systems, due to high frequency…

最优化与控制 · 数学 2013-06-18 Zayd Hajjej , Mohamed Balegh

We develop a general perturbative computation of finite-frequency quantum noise which applies, in particular, to both good or weakly transmitting strongly correlated conductors coupled to a generic environment. Under a minimal set of…

介观与纳米尺度物理 · 物理学 2016-01-20 Benjamin Roussel , Pascal Degiovanni , Inès Safi

We study the dissipation of the centre of mass oscillation of a harmonically confined condensate in the presence of a disorder potential. An extension of the Generalized Harmonic Theorem allows one to formulate the dynamics from the point…

量子气体 · 物理学 2014-03-14 Z. Wu , E. Zaremba

We connect two recent advances in the stochastic analysis of nonequilibrium systems: the (loose) uncertainty principle for the currents, which states that statistical errors are bounded by thermodynamic dissipation; and the analysis of…

统计力学 · 物理学 2016-11-04 M. Polettini , A. Lazarescu , M. Esposito

We study the evolution in equilibrium of the fluctuations for the conserved quantities of a chain of anharmonic oscillators in the hyperbolic space-time scaling. Boundary conditions are determined by applying a constant tension at one side,…

概率论 · 数学 2020-07-21 Stefano Olla , Lu Xu

An ensemble of uncoupled limit-cycle oscillators receiving common Poisson impulses shows a range of non-trivial behavior, from synchronization, desynchronization, to clustering. The group behavior that arises in the ensemble can be…

适应与自组织系统 · 物理学 2009-03-12 Kensuke Arai , Hiroya Nakao
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