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We consider conservative quantum evolutions possibly interrupted by macroscopic measurements. When started in a nonequilibrium state, the resulting path-space measure is not time-reversal invariant and the weight of time-reversal breaking…

Statistical Mechanics · Physics 2007-05-23 I. Callens , W. De Roeck , T. Jacobs , C. Maes , K. Netocny

In a generalized framework for the Landauer erasure protocol, we study bounds on the heat dissipated in typical nonequilibrium quantum processes. In contrast to thermodynamic processes, quantum fluctuations are not suppressed in the…

Quantum Physics · Physics 2018-05-16 Philip Taranto , Kavan Modi , Felix A. Pollock

Nonequilibrium processes break time-reversal symmetry and generate entropy. Living systems are driven out-of-equilibrium at the microscopic level of molecular motors that exploit chemical potential gradients to transduce free energy to…

Statistical Mechanics · Physics 2022-12-06 Eden Nitzan , Aishani Ghosal , Gili Bisker

We present and discuss a general density-matrix description of energy-dissipation and decoherence phenomena in open quantum systems, able to overcome the intrinsic limitations of the conventional Markov approximation. In particular, the…

Quantum Physics · Physics 2015-05-30 Michele Pepe , David Taj , Rita Claudia Iotti , Fausto Rossi

This work extends the results of the recently developed theory of a rather complete thermodynamic formalism for discrete-state, continuous-time Markov processes with and without detailed balance. We aim at investigating the question that…

Statistical Mechanics · Physics 2011-05-30 Moises Santillan , Hong Qian

Landauer's principle introduces a symmetry between computational and physical processes: erasure of information, a logically irreversible operation, must be underlain by an irreversible transformation dissipating energy. Monitoring micro-…

In this paper we review various information-theoretic characterizations of the approach to equilibrium in biological systems. The replicator equation, evolutionary game theory, Markov processes and chemical reaction networks all describe…

Information Theory · Computer Science 2017-08-22 John C. Baez , Blake S. Pollard

Recently probabilistic hysteresis in isolated Hamiltonian systems of ultracold atoms has been studied in the limit of large particle numbers, where a semiclassical treatment is adequate. The origin of irreversibility in these sweep…

Quantum Physics · Physics 2020-05-20 Ralf Bürkle , James R. Anglin

A closed system of the equations for the local Bloch vectors and spin correlation functions is obtained by decomplexification of the Liouville-von Neumann equation for 4 magnetic particles with the exchange interaction that takes place in…

Statistical Mechanics · Physics 2011-07-05 E. A. Ivanchenko

In classical thermodynamic processes the unavoidable presence of irreversibility, quantified by the entropy production, carries two energetic footprints: the reduction of extractable work from the optimal, reversible case, and the…

Quantum Physics · Physics 2020-05-20 M. H. Mohammady , A. Aufféves , J. Anders

We study the statistics of the work done, the fluctuation relations and the irreversible entropy production in a quantum many-body system subject to the sudden quench of a control parameter. By treating the quench as a thermodynamic…

Statistical Mechanics · Physics 2013-07-24 Ross Dorner , John Goold , Cecilia Cormick , Mauro Paternostro , Vlatko Vedral

We present exact solutions for the non-equilibrium steady states of a class of dissipative spinless fermionic systems with arbitrary Hamiltonian pairing terms, global charging energy interactions, and uniform single particle loss on every…

Quantum Physics · Physics 2026-05-12 Andrew Lingenfelter , Aashish A. Clerk

We investigate the Lipkin-Meshkov-Glick model coupled to a thermal bath. Since the isolated model itself exhibits a quantum phase transition, we explore the critical signatures of the open system. Starting from a system-reservoir…

Quantum Physics · Physics 2020-01-22 Wassilij Kopylov , Gernot Schaller

We ask the question whether entropy accumulates, in the sense that the operationally relevant total uncertainty about an $n$-partite system $A = (A_1, \ldots A_n)$ corresponds to the sum of the entropies of its parts $A_i$. The Asymptotic…

Quantum Physics · Physics 2022-10-05 Frederic Dupuis , Omar Fawzi , Renato Renner

We study finite-time driving across second-order dissipative quantum phase transitions described by Lindblad dynamics. We show that the nonadiabatic entropy production, which quantifies deviations from the instantaneous nonequilibrium…

Quantum Physics · Physics 2025-12-05 Laetitia P. Bettmann , Artur M. Lacerda , Mark T. Mitchison , John Goold

Given a thermodynamic process which carries a system from one equilibrium state to another, we construct a quantity whose average, over an ensemble of microscopic realizations of the process, depends only on these end states, even if at…

Statistical Mechanics · Physics 2015-06-25 C. Jarzynski

The direction of the steady-state heat currents across a generic quantum system connected to multiple baths may be engineered so as to realize virtually any thermodynamic cycle. In spite of their versatility such continuous…

Quantum Physics · Physics 2015-09-30 Luis A. Correa , José P. Palao , Daniel Alonso

We show that eigen-energies and energy eigenstates play different roles in the equilibration process of an isolated quantum system. Their roles are revealed numerically by exchanging the eigen-energies between an integrable model and a…

Quantum Physics · Physics 2017-10-18 Shaoqi Zhu , Biao Wu

We present a minimal Path-Dependent Energy Lagrangian (PDEL) that generates, from a single action, the balance equations of mechanics and the entropy/heat equation for irreversible thermomechanical systems. The reversible part is the…

Classical Physics · Physics 2025-11-04 Huilong Ren

Exploiting previous results on Markovian dynamics and fluctuation theorems, we study the consequences of memory effects on single realizations of nonequilibrium processes within an open system approach. The entropy production along single…

Statistical Mechanics · Physics 2015-06-12 Bruno Leggio , Anna Napoli , Heinz-Peter Breuer , Antonino Messina