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We study the non-Markovian dynamics of a qubit made up of a two-level atom interacting with an electromagnetic field (EMF) initially at finite temperature. Unlike most earlier studies where the bath is assumed to be fixed, we study the…

Quantum Physics · Physics 2009-11-10 S. Shresta , C. Anastopoulos , A. Dragulescu , B. L. Hu

The nonequilibrium thermodynamics feature of a Brownian motor operating between two different heat baths is explored as a function of time $t$. Using the Gibbs entropy and Schnakenberg microscopic stochastic approach, we find exact closed…

Statistical Mechanics · Physics 2015-07-08 Mesfin Asfaw Taye

A considerable body of experimental and theoretical work claims the existence of negative absolute temperatures in spin systems and ultra-cold quantum gases. Here, we clarify that such findings can be attributed to the use of a popular yet…

Statistical Mechanics · Physics 2015-06-15 Jörn Dunkel , Stefan Hilbert

The selection of an equilibrium state by maximising the entropy of a system, subject to certain constraints, is often powerfully motivated as an exercise in logical inference, a procedure where conclusions are reached on the basis of…

Statistical Mechanics · Physics 2015-12-03 Ian J. Ford

A bath with a negative temperature is a subject of intense debate in recent times. It raises fundamental questions not only on our understanding of negative temperature of a bath in connection with thermodynamics but also on the…

The theory of entropy production in nonequilibrium, Hamiltonian systems, previously described for steady states using partitions of phase space, is here extended to time dependent systems relaxing to equilibrium. We illustrate the main…

Chaotic Dynamics · Physics 2009-10-31 T. Gilbert , J. R. Dorfman , P. Gaspard

The R\'{e}nyi and von Neumann entropies of the thermal state in the generalized uncertainty principle (GUP)-corrected single harmonic oscillator system are explicitly computed within the first order of the GUP parameter $\alpha$. While the…

Quantum Physics · Physics 2022-01-05 MuSeong Kim , Mi-Ra Hwang , Eylee Jung , DaeKil Park

We study the nonequilibrium steady-state of a fully-coupled network of $N$ quantum harmonic oscillators, interacting with two thermal reservoirs. Given the long-range nature of the couplings, we consider two setups: one in which the number…

Statistical Mechanics · Physics 2022-09-27 Francesco Andreucci , Stefano Lepri , Stefano Ruffo , Andrea Trombettoni

Entropy is one of the most basic concepts in thermodynamics and statistical mechanics. The most widely used definition of statistical mechanical entropy for a quantum system is introduced by von Neumann. While in classical systems, the…

Quantum Physics · Physics 2020-03-18 Tian Qiu , Zhaoyu Fei , Rui Pan , Haitao Quan

When a reciprocating heat engine is started it eventually settles to a stable mode of operation. The approach of a first principle quantum heat engine toward this stable limit cycle is studied. The engine is based on a working medium…

Quantum Physics · Physics 2016-09-08 Tova Feldmann , Ronnie Kosloff

By using the Jacobi metric of the configuration space, and assuming ergodicity, we calculate the Boltzmann entropy $S$ of a finite-dimensional system around a non-degenerate critical point of its potential energy $V$. We compare $S$ with…

Mathematical Physics · Physics 2009-11-11 Nikos Kalogeropoulos

Conventional wisdom holds that the von Neumann entropy corresponds to thermodynamic entropy, but Hemmo and Shenker (2006) have recently argued against this view by attacking von Neumann (1955) and his argument. I argue that Hemmo and…

History and Philosophy of Physics · Physics 2023-03-28 Eugene Y. S. Chua

The study of open system quantum dynamics has been transformed by the hierarchical equations of motion (HEOM) method, which gives the exact dynamics for a system coupled to a harmonic bath at arbitrary temperature and system-bath coupling…

Chemical Physics · Physics 2022-08-17 Thomas P Fay

We examine a quantum Otto engine using both Bose-Einstein Condensation (BEC) and normal Bose gas as working medium trapped in generalized external potential. We treated the engine quasi-statically and endoreversibly. Since the expansion and…

Quantum Gases · Physics 2024-05-28 Zahara Zettira , Ade Fahriza , Zulfi Abdullah , Trengginas E P Sutantyo

Boltzmann's principle is used to select the "most probable" realization (macrostate) of an isolated or closed thermodynamic system, containing a small number of particles ($N \llsp \infty$), for both classical and quantum statistics. The…

Statistical Mechanics · Physics 2015-05-13 Robert K. Niven

In finite-dimensional quantum systems, temperature cannot be uniquely defined. This, in turn, implies that there are several ways to define entropy production in finite-dimensional quantum systems, because the classical entropy production…

Quantum Physics · Physics 2026-02-03 Tomohiro Nishiyama , Yoshihiko Hasegawa

We used the von Neumann entropy to study the single and many-particle on-site localizations of stationary states for an anisotropic Heisenberg spin-1/2 chain. With a constructed bounded sequence of on-site energies for single and…

Strongly Correlated Electrons · Physics 2009-11-13 Kingshuk Majumdar

By computing the local energy expectation values with respect to some local measurement basis we show that for any quantum system there are two fundamentally different contributions: changes in energy that do not alter the local von Neumann…

Quantum Physics · Physics 2008-08-04 Hendrik Weimer , Markus J. Henrich , Florian Rempp , Heiko Schröder , Günter Mahler

Quantifying the degree of irreversibility of an open system dynamics represents a problem of both fundamental and applied relevance. Even though a well-known framework exists for thermal baths, the results give diverging results in the…

The entropy production rate is a key quantity in non-equilibrium thermodynamics of both classical and quantum processes. No universal theory of entropy production is available to date, which hinders progress towards its full grasping. By…

Quantum Physics · Physics 2020-12-18 Alessio Belenchia , Luca Mancino , Gabriel T. Landi , Mauro Paternostro
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