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The large-deviation method can be used to study the measurement trajectories of open quantum systems. For optical arrangements this formalism allows to describe the long time properties of the (non-equilibrium) photon counting statistics in…

量子物理 · 物理学 2010-12-06 Adrian A. Budini

There is a relation between the irreversibility of thermodynamic processes as expressed by the breaking of time-reversal symmetry, and the entropy production in such processes. We explain on an elementary mathematical level the relations…

统计力学 · 物理学 2007-05-23 C. Maes , K. Netocny

An invariant state of a quantum Markov semigroup is an equilibrium state if it satisfies a quantum detailed balance condition. In this paper, we introduce a notion of entropy production for faithful normal invariant states of a quantum…

数学物理 · 物理学 2015-03-18 Franco Fagnola , Rolando Rebolledo

We study the asymptotic bipartite entanglement entropy of the quantum trajectories of a free-fermionic system, when subject to a continuous nonlocal monitoring. The measurements are described by Gaussian-preserving two-point operators,…

量子物理 · 物理学 2023-09-20 Angelo Russomanno , Giulia Piccitto , Davide Rossini

We consider simultaneous and continuous measurement of two noncommutative observables of the system whose commutator is not necessarily a $c$-number. We revisit the Arthurs-Kelly model and generalize it to describe the simultaneous…

量子物理 · 物理学 2021-01-13 Chao Jiang , Gentaro Watanabe

The problem of estimating entropy production from incomplete information in stochastic thermodynamics is essential for theory and experiments. Whereas a considerable amount of work has been done on this topic, arguably, most of it is…

统计力学 · 物理学 2024-12-17 Pedro E. Harunari , Carlos E. Fiore , Andre C. Barato

This work presents a general unifying theoretical framework for quantum non-equilibrium systems. It is based on a re-statement of the dynamical problem as one of inferring the distribution of collision events that move a system toward…

量子物理 · 物理学 2015-03-30 David M. Rogers

The second law of ordinary thermodynamics and the second law of steady state thermodynamics, as proposed by Oono and Paniconi, are investigated from the microscopic point of view for the open quantum system. Based on the H-theorem of…

统计力学 · 物理学 2007-05-23 Satoshi Yukawa

We develop the thermodynamics of non-Markovian generalized Langevin equations by embedding them in a high-dimensional Markovian representation involving auxiliary degrees of freedom. If the memory is linear and satisfies detailed balance…

统计力学 · 物理学 2026-04-29 Andreas Dechant , Kiyoshi Kanazawa

Entropy production (EP) is a central quantity in nonequilibrium physics as it monitors energy dissipation, irreversibility, and free energy differences during thermodynamic transformations. Estimating EP, however, is challenging both…

统计力学 · 物理学 2024-06-26 Jinghao Lyu , Kyle J. Ray , James P. Crutchfield

We consider open quantum systems weakly coupled to a heat reservoir and driven by arbitrary time-dependent parameters. We derive exact microscopic expressions for the nonequilibrium entropy production and entropy production rate, valid…

统计力学 · 物理学 2012-10-24 Sebastian Deffner , Eric Lutz

We develop a comprehensive framework for characterizing fluctuations in quantum transport and nonequilibrium thermodynamics using two complementary approaches: full counting statistics and first-passage times. Focusing on open quantum…

统计力学 · 物理学 2026-01-12 Paul Menczel , Christian Flindt , Fredrik Brange , Franco Nori , Clemens Gneiting

The influence of the environment in the thermal equilibrium properties of a bipartite continuous variable quantum system is studied. The problem is treated within a system-plus-reservoir approach. The considered model reproduces the…

量子物理 · 物理学 2011-07-05 D. M. Valente , A. O. Caldeira

Goran Lindblad was one of the pioneers of what is called now Quantum Thermodynamics. From this vast and rapidly developing field we have selected a sample of results concerning quantum open systems described by Markovian Master Equations of…

量子物理 · 物理学 2023-09-26 Robert Alicki

Bell's inequalities, in the form given by Cerf and Adami, are derived from the combination of the second law of thermodynamics and the Markov postulate. Violations of these inequalities are discussed in terms of the mixing characteristics…

量子物理 · 物理学 2007-05-23 Ian T. Durham

What is the minimum time required to take a temperature? In this paper, we solve this question for a large class of processes where temperature is inferred by measuring a probe (the thermometer) weakly coupled to the sample of interest, so…

量子物理 · 物理学 2022-12-07 Pavel Sekatski , Martí Perarnau-Llobet

We consider wave packet propagation in a quantum wire with either an embedded antidot or an embedded parallel double open quantum dot under the influence of a uniform magnetic field. The magnetoconductance and the time evolution of an…

介观与纳米尺度物理 · 物理学 2008-07-29 Gunnar Thorgilsson , Chi-Shung Tang , Vidar Gudmundsson

A major goal of stochastic thermodynamics is to estimate the inevitable dissipation that accompanies particular observable phenomena in an otherwise not fully accessible system. Quantitative results are often formulated as lower bounds on…

统计力学 · 物理学 2025-03-17 Malena T. Bauer , Udo Seifert , Jann van der Meer

The total entropy production of stochastic systems can be divided into three quantities. The first corresponds to the excess heat, whilst the second two comprise the house-keeping heat. We denote these two components the transient and…

统计力学 · 物理学 2015-06-03 Richard E. Spinney , Ian J. Ford

A wide class of non-Markovian completely positive master equations can be formulated on the basis of quantum collisional models. In this phenomenological approach the dynamics of an open quantum system is modeled through an ensemble of…

量子物理 · 物理学 2013-09-26 Adrian A. Budini