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We build a double quantum-dot system with Coulomb coupling and aim at studying the connections among the entropy production, free energy, and information flow. By utilizing the concepts in stochastic thermodynamics and graph theory…

Statistical Mechanics · Physics 2021-09-01 Zhiyuan Lin , Tong Fu , Juying Xiao , Shanhe Su , Jincan Chen , Yanchao Zhang

The (consistent or decoherent) histories interpretation provides a consistent realistic ontology for quantum mechanics, based on two main ideas. First, a logic (system of reasoning) is employed which is compatible with the Hilbert-space…

Quantum Physics · Physics 2013-02-13 Robert B. Griffiths

Based on trajectory dependent path probability formalism in state space, we derive generalized entropy production fluctuation relations for a quantum system in the presence of measurement and feedback. We have obtained these results for…

Statistical Mechanics · Physics 2015-06-04 Shubhashis Rana , Sourabh Lahiri , A. M. Jayannavar

Entropy is the distinguishing and most important concept of our efforts to understand and regularize our observations of a very large class of natural phenomena, and yet, it is one of the most contentious concepts of physics. In this…

Quantum Physics · Physics 2007-05-23 Elias P. Gyftopoulos

In classical physics, entropy quantifies the randomness of large systems, where the complete specification of the state, though possible in theory, is not possible in practice. In quantum physics, despite its inherently probabilistic…

Quantum Physics · Physics 2022-09-28 Davi Geiger , Zvi Kedem

We study the statistical behaviour of quantum entanglement in bipartite systems over fermionic Gaussian states as measured by von Neumann entropy. The formulas of average von Neumann entropy with and without particle number constrains have…

Mathematical Physics · Physics 2023-10-31 Youyi Huang , Lu Wei

We present a Gedankenexperiment that leads to a violation of detailed balance if quantum mechanical transition probabilities are treated in the usual way by applying Fermi's "golden rule". This Gedankenexperiment introduces a collection of…

Quantum Physics · Physics 2020-09-21 Daniel Braak , Jochen Mannhart

Thermodynamic entropy, as defined by Clausius, characterizes macroscopic observations of a system based on phenomenological quantities such as temperature and heat. In contrast, information-theoretic entropy, introduced by Shannon, is a…

Quantum Physics · Physics 2017-01-04 Mirjam Weilenmann , Lea Krämer , Philippe Faist , Renato Renner

A quantum statistical expression for the entropy of a nonequilibrium system is defined so as to be consistent with Gibbs' relation, and is shown to corresponds to dynamical variable by introducing analogous to the Heisenberg picture in…

Statistical Mechanics · Physics 2013-05-29 Hiroki Majima , Akira Suzuki

We show that the von Neumann's algorithm of reduction (i.e. the algorithm of calculating the density matrix of the observable subsystem from the density matrix of the closed quantum system) corresponds to the special approximation at which…

Quantum Physics · Physics 2007-05-23 N. K. Solovarov

The probability operator is derived from first principles for an equilibrium quantum system. It is also shown that the superposition states collapse into a mixture of states giving the conventional von Neumann trace form for the quantum…

Statistical Mechanics · Physics 2014-01-09 Phil Attard

It was recently shown that, in general, the von Neumann spin entropy of fermionic particles is not invariant under Lorentz boosts. We show that an analogous result can be recovered (at the lowest order of $v^2 /c^2$) using plain…

Quantum Physics · Physics 2020-01-01 Matheus H. Zambianco , Andre G. S. Landulfo , George E. A. Matsas

From the principle of maximum entropy for a closed system in thermal equilibrium, for the first instance a clear relation is shown to exist between total entropy S (in terms of arrangements of particles) and the classical expression for the…

Classical Physics · Physics 2009-11-07 Mario J. Pinheiro

If the von Neumann equation is modified by time dependent statistical weights, the time rate of entropy, the entropy exchange and production of a Schottky system are derived whose Hamiltonian does not contain the interaction with the…

Quantum Physics · Physics 2019-01-30 Wolfgang Muschik

Adopting the thin-layer improved brick-wall method, we investigate the thermodynamics of a black hole embedded in a spatially flat Friedmann-Robertson-Walker universe. We calculate the temperature and the entropy at every apparent horizon…

General Relativity and Quantum Cosmology · Physics 2011-03-07 Khireddine Nouicer

We study fidelity and fidelity susceptibility by addition of entanglement of entropy in the one-dimensional quantum compass model in a transverse magnetic field numerically. The whole four recognized gapped regions in the ground state phase…

Strongly Correlated Electrons · Physics 2014-06-13 Mostafa Motamedifar , Somayyeh Nemati , Saeed Mahdavifar , Saber Farjami Shayesteh

We describe an efficient theoretical criterion, suitable for indistinguishable particles to quantify the quantum correlations of any pure two-fermion state, based on the Slater rank concept. It represents the natural generalization of the…

Quantum Physics · Physics 2007-05-23 Fabrizio Buscemi , Paolo Bordone , Andrea Bertoni

Even though the second law of thermodynamics holds the supreme position among the laws of nature, as stated by many distinguished scientists, notably Eddington and Einstein, its position appears to be also quite peculiar. Given the atomic…

Classical Physics · Physics 2015-03-18 Germano D'Abramo

Total entropy generated by the Unruh effect is calculated within the framework of information theory. In contrast to previous studies, here the calculations are done for the finite time of existence of the non-inertial reference frame. In…

High Energy Physics - Theory · Physics 2022-06-01 M. V. Teslyk , O. M. Teslyk , L. V. Zadorozhna , L. Bravina , E. Zabrodin

We consider an autonomous implementation of Maxwell's demon in a quantum dot architecture. As in the original thought experiment, only the second law of thermodynamics is seemingly violated when disregarding the demon. The autonomous…

Mesoscale and Nanoscale Physics · Physics 2022-11-08 Rafael Sánchez , Peter Samuelsson , Patrick P. Potts
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