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Thermodynamical equilibrium is considered as an effect of quantum entangling of the vacuum state of a system. An explicit mathematical model of multi- particle entangled pure quantum states is developed and analyzed. In the framework, the…

量子物理 · 物理学 2007-05-23 A. Yu. Bogdanov , Yu. I. Bogdanov , K. A. Valiev

Realistic quantum mechanical systems are always exposed to an external environment. The presence of the environment often gives rise to a Markovian process in which the system loses information to its surroundings. However, many quantum…

The mathematical physics of mechanical systems in thermal equilibrium is a well studied, and relatively easy, subject, because the Gibbs distribution is in general an adequate guess for the equilibrium state. On the other hand, the…

数学物理 · 物理学 2007-05-23 Jean-Pierre Eckmann

Collision models provide a simple and versatile setting to capture the dynamics of open quantum systems. The standard approach to thermalisition in this setting involves an environment of independent and identically-prepared thermal qubits,…

量子物理 · 物理学 2026-02-10 Ronan McElvogue , Andrew K. Mitchell , Gabriel T. Landi , Steve Campbell

We compare decoherence induced in a simple quantum system (qubit) for two different initial states of the environment: canonical (fixed temperature) and microcanonical (fixed energy), for the general case of a fully interacting oscillator…

量子物理 · 物理学 2009-11-07 S. Khlebnikov , G. Sadiek

Non-Markovian effects are important in modeling the behavior of open quantum systems arising in solid-state physics, quantum optics as well as in study of biological and chemical systems. The non-Markovian environment is often approximated…

量子物理 · 物理学 2022-01-05 Rahul Trivedi , Daniel Malz , J. Ignacio Cirac

The non-classical nature of quantum states, often illustrated using entanglement measures or quantum discord, constitutes a resource for quantum information protocols. However, the non-classicality of a quantum system cannot be encapsulated…

量子物理 · 物理学 2016-02-18 Carole Addis , Teiko Heinosaari , Jukka Kiukas , Elsi-Mari Laine , Sabrina Maniscalco

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

We demonstrate the equilibration of isolated macroscopic quantum systems, prepared in non-equilibrium mixed states with significant population of many energy levels, and observed by instruments with a reasonably bound working range compared…

统计力学 · 物理学 2009-11-13 Peter Reimann

In literature on stochastic thermodynamics it is stated that for a system connected to multiple thermal reservoirs, the transition rates between two energy levels equals the sum of transition rates corresponding to each thermal bath the…

统计力学 · 物理学 2024-07-31 Vaibhav Wasnik

We study a class of non-equilibrium quasi-stationary states for a Markov system interacting with two different thermal baths. We show that the work done under a slow, external change of parameters admits a potential, i.e., the free energy.…

统计力学 · 物理学 2017-05-23 A. E. Allahverdyan , N. H. Martirosyan

We propose a method to study the thermodynamic behaviour of small systems beyond the weak coupling and Markovian approximation, which is different in spirit from conventional approaches. The idea is to redefine the system and environment…

量子物理 · 物理学 2016-11-29 Philipp Strasberg , Gernot Schaller , Neill Lambert , Tobias Brandes

By modeling the interaction of a system with an environment through a renewal approach, we demonstrate that completely positive non-Markovian dynamics may develop some unexplored non-standard statistical properties. The renewal approach is…

量子物理 · 物理学 2009-08-07 Adrian A. Budini Paolo Grigolini

Stochastic thermodynamics and the associated fluctuation relations provide the means to extend the fundamental laws of thermodynamics to small scales and systems out of equilibrium. The fluctuating thermodynamic variables are usually…

统计力学 · 物理学 2015-05-29 Aki Kutvonen , Tapio Ala-Nissilä , Jukka P. Pekola

Ability of dynamical systems to relax to equilibrium has been investigated since the invention of statistical mechanics, which establishes the connection between dynamics of many-body Hamiltonian systems and phenomenological thermodynamics.…

统计力学 · 物理学 2019-07-01 K. S. Glavatskiy , V. L. Kulinskii

Contrary to the conventional wisdom that deviations from standard thermodynamics originate from the strong coupling to the bath, it is shown that in quantum mechanics, these deviations originate from the uncertainty principle and are…

量子物理 · 物理学 2019-03-15 Leonardo A. Pachon , Johan F. Triana , David Zueco , Paul Brumer

We study, in finite volume, a grand canonical version of the McKean-Vlasov equation where the total particle content is allowed to vary. The dynamics is anticipated to minimize an appropriate grand canonical free energy; we make this notion…

偏微分方程分析 · 数学 2016-10-27 L. Chayes , H. K. Lei

A link between memory effects in quantum kinetic equations and nonequilibrium correlations associated with the energy conservation is investigated. In order that the energy be conserved by an approximate collision integral, the one-particle…

统计力学 · 物理学 2007-05-23 V. G. Morozov , Gerd Ropke

We study the dynamics of quantum and classical correlations in a two-qutrit system coupled to independent reservoirs. In particular, we addressed the differences in the dynamics of Markovian and non-Markovian regimes and show that for…

量子物理 · 物理学 2017-12-20 C. E. López , F. Lastra

Non-equilibrium transport properties of quantum systems have recently become experimentally accessible in a number of platforms in so-called full-counting experiments that measure transient and steady state non-equilibrium transport…

量子物理 · 物理学 2016-12-28 Javier Cerrillo , Maximilian Buser , Tobias Brandes