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The information encoded into an open quantum system that evolves under a Markovian dynamics is always monotonically non-increasing. Nonetheless, for a given quantifier of the information contained in the system, it is in general not clear…

Quantum Physics · Physics 2020-09-17 Dario De Santis , Markus Johansson

The thermodynamic and kinetic uncertainty relations indicate trade-offs between the relative fluctuation of observables and thermodynamic quantities such as dissipation and dynamical activity. Although these relations have been well studied…

Statistical Mechanics · Physics 2022-04-12 Tan Van Vu , Keiji Saito

Steady state fluctuation relations for dynamical systems are commonly derived under the assumption of some form of time-reversibility and of chaos. There are, however, cases in which they are observed to hold even if the usual notion of…

Mathematical Physics · Physics 2015-05-27 Matteo Colangeli , Rainer Klages , Paolo De Gregorio , Lamberto Rondoni

We investigate an unconventional nature of the entropy production (EP) in nonequilibrium systems with odd-parity variables that change signs under time reversal. We consider the Brownian motion of a particle in contact with a heat…

Statistical Mechanics · Physics 2020-01-08 Chulan Kwon , Joonhyun Yeo , Hyun Keun Lee , Hyunggyu Park

The exact non-Markovian dynamics of a microcavity strongly coupled to a general reservoir at arbitrary temperature is studied. With the exact master equation for the reduced density operator of the cavity system, we analytically solve the…

Quantum Physics · Physics 2010-07-30 Heng-Na Xiong , Wei-Min Zhang , Xiaoguang Wang , Meng-Hsiu Wu

We use a recently proved fluctuation theorem for the currents to develop the response theory of nonequilibrium phenomena. In this framework, expressions for the response coefficients of the currents at arbitrary orders in the thermodynamic…

Statistical Mechanics · Physics 2015-05-13 D. Andrieux , P. Gaspard

Critical phenomena in non-equilibrium systems have been studied by means of a wide variety of theoretical and experimental approaches. Mode-coupling, renormalization group, complex Lie algebras and diagrammatic techniques are some of the…

Statistical Mechanics · Physics 2015-05-13 Enrique Hernandez-Lemus , Leopoldo S. Garcia-Colin

Maintained by environmental fluxes, biological systems are thermodynamic processes that operate far from equilibrium without detailed-balance dynamics. Yet, they often exhibit well defined nonequilibrium steady states (NESSs). More…

Statistical Mechanics · Physics 2017-08-02 P. M. Riechers , J. P. Crutchfield

The influence of dissipation on the fluctuation statistics of the total energy is investigated through both a phenomenological and a stochastic model for dissipative energy-transfer through a cascade of states. In equilibrium the states…

Statistical Mechanics · Physics 2013-06-27 Eric Bertin , Peter C. W. Holdsworth

We provide a general macrostatistical formulation of nonequilibrium steady states of reservoir driven quantum systems. This formulation is centred on the large scale properties of the locally conserved hydrodynamical observables, and our…

Mathematical Physics · Physics 2009-11-11 Geoffrey L. Sewell

Systems out of equilibrium, in stationary as well as in nonstationary regimes, display a linear response to energy impulses simply expressed as the sum of two specific temporal correlation functions. There is a natural interpretation of…

Statistical Mechanics · Physics 2010-06-16 Marco Baiesi , Christian Maes , Bram Wynants

We complement and extend our work on fluctuation relations arising in nonequilibrium systems in steady states driven by L\'evy noise [Phys. Rev. E 76, 020101(R) (2006)]. As a concrete example, we consider a particle subjected to a drag…

Statistical Mechanics · Physics 2009-08-20 H. Touchette , E. G. D. Cohen

We present the experimental control of Non-Markovian dynamics of open quantum systems simulated with photonic entities. The polarization of light is used as the system, whereas the surrounding environment is represented by light's spatial…

Fluctuation relations are powerful equalities that hold far from equilibrium. However, the standard approach to include measurement and feedback schemes may become inapplicable in certain situations, including continuous measurements,…

Mesoscale and Nanoscale Physics · Physics 2019-09-05 Patrick P. Potts , Peter Samuelsson

The Jarzynski equality is generalized to situations in which nonequilibrium systems are subject to a feedback control. The new terms that arise as a consequence of the feedback describe the mutual information content obtained by measurement…

Statistical Mechanics · Physics 2015-05-13 Takahiro Sagawa , Masahito Ueda

We show that systems driven by an external force and described by Nose-Hoover dynamics allow for a consistent nonequilibrium thermodynamics description when the thermostatted variable is initially assumed in a state of canonical…

Statistical Mechanics · Physics 2011-08-11 Massimiliano Esposito , Takaaki Monnai

Thermodynamics of quantum coherence has attracted growing attention recently, where the thermodynamic advantage of quantum superposition is characterized in terms of quantum thermodynamics. We investigate thermodynamic effects of quantum…

Statistical Mechanics · Physics 2017-10-25 Yûto Murashita , Zongping Gong , Yuto Ashida , Masahito Ueda

In many applications, the common assumption that a driving noise process affecting a system is independent or Markovian may not be realistic, but the noise process may be assumed to be stationary. To study such problems, this paper…

Probability · Mathematics 2018-01-08 Serdar Yüksel

Fluctuation theorems are key to understanding both fundamental and applied aspects of non-equilibrium thermodynamics of small systems. We study the non-Markovian entropy production fluctuation theorem for the diffusion process of charged…

Statistical Mechanics · Physics 2026-05-06 K. S. Rodríguez-Vigil , M. A. Bastarrachea-Magnani , J. I. Jiménez-Aquino

In the last ten years, a number of ``Conventional Fluctuation Theorems'' have been derived for systems with deterministic or stochastic dynamics, in a transient or in a non-equilibrium stationary state. These theorems gave explicit…

Statistical Mechanics · Physics 2007-05-23 R. van Zon , E. G. D. Cohen