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We present a method for the study of quantum fluctuations of dissipative structures forming in nonlinear optical cavities, which we illustrate in the case of a degenerate, type I optical parametric oscillator. The method consists in (i)…

Quantum Physics · Physics 2007-07-31 Isabel Perez-Arjona , Eugenio Roldan , German J. de Valcarcel

We consider the quantum evolution of classically chaotic systems in contact with surroundings. Based on $\hbar$-scaling of an equation for time evolution of the Wigner's quasi-probability distribution function in presence of dissipation and…

chao-dyn · Physics 2015-06-24 B. C. Bag , S. Chaudhuri , J. Ray Chaudhuri , D. S. Ray

We prove the second law of thermodynamics and the nonequilibirum fluctuation theorem for pure quantum states.The entire system obeys reversible unitary dynamics, where the initial state of the heat bath is not the canonical distribution but…

Statistical Mechanics · Physics 2017-09-13 Eiki Iyoda , Kazuya Kaneko , Takahiro Sagawa

We study an arbitrary non-equilibrium dynamics of a quantum bipartite system coupled to a reservoir. For its characterization, we present a fluctuation theorem (FT) that explicitly addresses the quantum correlation of subsystems during the…

Quantum Physics · Physics 2020-05-22 Jung Jun Park , Hyunchul Nha , Sang Wook Kim , Vlatko Vedral

As a fundamental measure of stability in nonequilibrium thermodynamics, fluctuations provide critical insight into the performance and reliability of heat engines. In this work, we establish universal fluctuation-dissipation bounds that…

Statistical Mechanics · Physics 2026-01-13 Ousi Pan , Zhiqiang Fan , Shunjie Zhang , Jie Li , Jincan Chen , Shanhe Su

We study the quantum version of a simplified model of optimization problems, where quantum fluctuations are introduced by a transverse field acting on the qubits. We find a complex low-energy spectrum of the quantum Hamiltonian,…

Statistical Mechanics · Physics 2010-10-13 Laura Foini , Guilhem Semerjian , Francesco Zamponi

The total energy of an eigenstate in a composite quantum system tends to be distributed equally among its constituents. We identify the quantum fluctuation around this equipartition principle in the simplest disordered quantum system…

Mathematical Physics · Physics 2023-12-21 Giorgio Cipolloni , László Erdős , Joscha Henheik , Oleksii Kolupaiev

The Macroscopic Fluctuation Theory is an effective framework to describe transports and their fluctuations in classical out-of-equilibrium diffusive systems. Whether the Macroscopic Fluctuation Theory may be extended to the quantum realm…

Statistical Mechanics · Physics 2021-11-05 Denis Bernard

We derive an extended fluctuation theorem for a geometric pumping in a spin-boson system under a periodic control of environmental temperatures by using a Markovian quantum master equation. We perform the Monte-Carlo simulation and obtain…

Statistical Mechanics · Physics 2017-08-16 Kota L. Watanabe , Hisao Hayakawa

Of indisputable relevance for non-equilibrium thermodynamics, fluctuations theorems have been generalized to the framework of quantum thermodynamics, with the notion of work playing a key role in such contexts. The typical approach consists…

Quantum Physics · Physics 2023-06-28 Thales Augusto Barbosa Pinto Silva , Renato Moreira Angelo

Using recent fluctuation theorems from nonequilibrium statistical mechanics, we extend the theory for voltage fluctuations in electric circuits to power and heat fluctuations. They could be of particular relevance for the functioning of…

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

We consider a many particle quantum system, in which each particle interacts only with its nearest neighbours. Provided that the energy per particle has an upper bound, we show, that the energy distribution of almost every product state…

Mathematical Physics · Physics 2009-11-10 M. Hartmann , G. Mahler , O. Hess

An extension of fluctuation-dissipation theorem is used to derive a "speed limit" theorem for nonlinear electronic devices. This speed limit provides a lower bound on the dissipation that is incurred when transferring a given amount of…

Statistical Mechanics · Physics 2025-06-23 Léopold Van Brandt , Jean-Charles Delvenne

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

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…

Statistical Mechanics · Physics 2012-10-24 Sebastian Deffner , Eric Lutz

We derive an integral fluctuation theorem (FT) in a general setup of cavity quantum electrodynamics systems. In the derivation, a key difficulty lies in a diverging behavior of entropy change arising from the zero-temperature limit of an…

Statistical Mechanics · Physics 2020-02-19 Tatsuro Yuge , Makoto Yamaguchi

We show that the loss of nonclassicality (including quantum entanglement) cannot be compensated by the (incoherent) amplification of PT-symmetric systems. We address this problem by manipulating the quantum fluctuating forces in the…

Quantum Physics · Physics 2023-09-22 Jan Perina , Adam Miranowicz , Joanna K. Kalaga , Wieslaw Leonski

We study fluctuations of the empirical processes of a non-equilibrium interacting particle system consisting of two species over a domain that is recently introduced in [8] and establish its functional central limit theorem. This…

Probability · Mathematics 2021-01-12 Zhen-Qing Chen , Wai-Tong Louis Fan

Fluctuation theorems have elevated the second law of thermodynamics to a statistical realm by establishing a connection between time-forward and time-reversal probabilities, providing invaluable insight into nonequilibrium dynamics. While…

Quantum Physics · Physics 2025-06-05 Hui Li , Jie Xie , Hyukjoon Kwon , Yixin Zhao , M. S. Kim , Lijian Zhang

This is the second paper on semiclassical approach based on the density matrix given by the Euclidean time path integral with fixed coinciding endpoints. The classical path, interpolating between this point and the classical vacuum, called…

High Energy Physics - Theory · Physics 2017-08-16 M. A. Escobar-Ruiz , E. Shuryak , A. V. Turbiner