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In equilibrium systems with short-ranged interactions, the relative stability of different thermodynamic states generally does not depend on system size (as long as this size is larger than the interaction range). Here, we use a large…

Statistical Mechanics · Physics 2013-05-30 Sorin Tanase-Nicola , David K. Lubensky

Exchange of quantum states between two interacting harmonic oscillator along their evolution time is discussed. It is analyzed the conditions for such exchange starting from a generic initial state and demonstrating that the effect occurs…

Quantum Physics · Physics 2007-05-23 D. Portes , H. Rodrigues , S. B. Duarte , B. Baseia

Non-equilibrium steady states are subject to intense investigations but still poorly understood. For instance, the derivation of Fourier law in Hamiltonian systems is a problem that still poses several obstacles. In order to investigate…

Probability · Mathematics 2014-10-15 Chiara Franceschini , Cristian Giardina

By considering the lack of history dependence in the non-equilibrium steady state of a quantum system we are led to conjecture that in such a system, there is a set of quantum mechanical observables whose retarded response functions are…

Strongly Correlated Electrons · Physics 2007-05-23 P. Coleman , W. Mao

We derive a general quantum exchange fluctuation theorem for multipartite systems with arbitrary coupling strengths by taking into account the informational contribution of the back-action of the quantum measurements, which contributes to…

Quantum Physics · Physics 2023-07-18 Akira Sone , Diogo O. Soares-Pinto , Sebastian Deffner

In this review, we study some aspects of the non-equilibrium dynamics of quantum systems. In particular, we consider the effect of varying a parameter in the Hamiltonian of a quantum system which takes it across a quantum critical point or…

Statistical Mechanics · Physics 2015-05-14 Shreyoshi Mondal , Diptiman Sen , K. Sengupta

We develop an exact quantum thermodynamic description for a noninteracting nanoscale steady state that couples strongly with multiple reservoirs. It is demonstrated that there exists a steady-state extension of the thermodynamic function…

Mesoscale and Nanoscale Physics · Physics 2018-04-05 Nobuhiko Taniguchi

Relaxation dynamics of complex quantum systems with strong interactions towards the steady state is a fundamental problem in statistical mechanics. The steady state of subsystems weakly interacting with their environment is described by the…

Statistical Mechanics · Physics 2016-06-22 Alexey M. Shakirov , Yulia E. Shchadilova , Alexey N. Rubtsov

A new microcanonical equilibrium state is introduced for quantum systems with finite-dimensional state spaces. Equilibrium is characterised by a uniform distribution on a level surface of the expectation value of the Hamiltonian. The…

Quantum Physics · Physics 2007-10-25 Dorje C. Brody , Daniel W. Hook , Lane P. Hughston

Equilibrium thermodynamics describes the energy exchange of a body with its environment. Here, we describe the global energy exchange of an ideal gas in the Coutte flow in a thermodynamic-like manner. We derive a fundamental relation…

Statistical Mechanics · Physics 2023-07-31 Karol Makuch , Konrad Giżyński , Robert Hołyst , Anna Maciołek , Paweł J. Żuk

The dynamical behavior of interacting systems plays a fundamental role for determining quantum correlations, such as entanglement. In this Letter, we describe temporal quantum effects of the inseparable evolution of composite quantum states…

Quantum Physics · Physics 2017-10-26 J. Sperling , I. A. Walmsley

We extend the Exchange Fluctuation Theorem for energy exchange between thermal quantum systems beyond the assumption of molecular chaos, and describe the non-equilibrium exchange dynamics of correlated quantum states. The relation…

Quantum Physics · Physics 2015-10-14 Sania Jevtic , David Jennings , Terry Rudolph , Yuji Hirono , Shojun Nakayama , Mio Murao

This paper gives an overview of recent results concerning the long time dynamics of repeated interaction quantum systems in a deterministic and random framework. We describe the non equilibrium steady states (NESS) such systems display and…

Mathematical Physics · Physics 2017-08-23 Alain Joye

Charge transport through a nanoscale junction coupled to two macroscopic electrodes is investigated for the situation when bound states are present. We provide numerical evidence that bound states give rise to persistent, non-decaying…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 E. Khosravi , S. Kurth , G. Stefanucci , E. K. U. Gross

A quantum spin system is discussed, where a heat flow between infinite reservoirs takes place in a finite region. A time dependent force may also be acting. Our analysis is based on a simple technical assumption concerning the time…

Mathematical Physics · Physics 2007-05-23 David Ruelle

Due to the coupling of a quantum system to its environment energy can be transfered between the two subsystems in both directions. In the present study we consider this process in a general framework for interactions with different…

Quantum Physics · Physics 2017-01-24 Tarek Khalil , Jean Richert

Singularities in macroscopic systems at discontinuous phase transitions are replaced in finite systems by sharp but continuous changes. Both the energy differences between metastable and stable phases and the energy barriers separating…

Statistical Mechanics · Physics 2009-11-13 Alexander Patashinski , Mark Ratner

Multistable non-equilibrium systems are abundant outcomes of nonlinear dynamics with feedback but still relatively little is known about what determines the stability of the steady states and their switching rates in terms of entropy and…

Biological Physics · Physics 2020-02-11 Jacob Cook , Robert G. Endres

We study the stationary dynamics of energy exchange in an ensemble of phase oscillators, coupled through a mean-field mechanical interaction and added with friction and an external periodic excitation. The degree of entrainment between…

Adaptation and Self-Organizing Systems · Physics 2021-12-02 Raúl I. Sosa , Damián H. Zanette

Analyzing the dynamics of open quantum systems has a long history in mathematics and physics. Depending on the system at hand, basic physical phenomena that one would like to explain are, for example, convergence to equilibrium, the…

Mathematical Physics · Physics 2015-06-15 Laurent Bruneau , Alain Joye , Marco Merkli
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