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We describe the non-equilibrium dynamics of the Sachdev-Ye-Kitaev models of fermions with all-to-all interactions. These provide tractable models of the dynamics of quantum systems without quasiparticle excitations. The Kadanoff-Baym…

Strongly Correlated Electrons · Physics 2017-11-22 Andreas Eberlein , Valentin Kasper , Subir Sachdev , Julia Steinberg

In this work, we investigate the thermodynamics of Schwarzschild black and white holes within a $q$-deformed Wheeler--DeWitt framework. By introducing a $q$-deformed Heisenberg--Weyl algebra at a root of unity, we derive a…

General Relativity and Quantum Cosmology · Physics 2026-03-31 S. Jalalzadeh , R. Jalalzadeh , H. Moradpour

We consider the generalized laws of thermodynamics in massive gravity. Making use of explicit black hole solutions, we devise black hole merger processes in which i) total entropy of the system decreases ii) the zero-temperature extremal…

General Relativity and Quantum Cosmology · Physics 2011-04-19 Fabio Capela , Peter G. Tinyakov

We use the quantum Brownian model to derive the uncertainty relation for a quantum open system in an arbitrarily-squeezed initial state interacting with an environment at finite temperature. We examine the relative importance of the quantum…

General Relativity and Quantum Cosmology · Physics 2019-06-05 B. L. Hu , Yuhong Zhang

We consider a situation where an $N$-level system (NLS) is coupled to a heat bath without being necessarily thermalized. For this situation we derive general Jarzinski-type equations and conclude that heat and entropy is flowing from the…

Quantum Physics · Physics 2021-08-25 Heinz-Jürgen Schmidt , Jürgen Schnack , Jochen Gemmer

We study two small quantum systems coupled to the same reservoir which is in thermal equilibrium. By studying the particle density and the energy density in the two systems before and after they contact each other, we find that the two…

Statistical Mechanics · Physics 2012-10-12 Pei Wang

We investigate the statistics of heat exchange between a finite system coupled to reservoir(s). We have obtained analytical results for heat fluctuation theorem in the transient regime considering the Hamiltonian dynamics of the composite…

Statistical Mechanics · Physics 2017-04-19 P. S. Pal , Sourabh Lahiri , A. M. Jayannavar

We construct a finite bath with variable temperature for quantum thermodynamic simulations in which heat flows between a system $\mathcal{S}$ and the bath environment $\mathcal{E}$ in time evolution of an initial $\mathcal{SE}$ pure state.…

Statistical Mechanics · Physics 2019-10-09 Phillip C. Lotshaw , Michael E. Kellman

We formulate a canonical quantization of Equilibrium Thermodynamics by applying Dirac's theory of constrained systems. Thermodynamic variables are treated as conjugate pairs of coordinates and momenta, allowing extensive and intensive…

Quantum Physics · Physics 2025-11-19 Luis F. Santos , Victor Hugo M. Ramos , Danilo Cius , Mario C. Baldiotti , Bárbara Amaral

We investigate the quantum thermal transistor effect in nonequilibrium three-level systems by applying the polaron transformed Redfield equation combined with full counting statistics. The steady state heat currents are obtained via this…

Quantum Physics · Physics 2020-08-26 Chen Wang , Dazhi Xu

Classical thermodynamics is built with the concept of equilibrium states. However, it is less clear how equilibrium thermodynamics emerges through the dynamics that follows the principle of quantum mechanics. In this paper, we develop a…

Quantum Physics · Physics 2018-12-18 Md. Manirul Ali , Wei-Ming Huang , Wei-Min Zhang

We consider what happens when a many body localized system is coupled to a heat bath. Unlike previous works, we do not restrict ourselves to the limit where the bath is large and effectively Markovian, nor to the limit where back action on…

Disordered Systems and Neural Networks · Physics 2017-04-21 Rahul Nandkishore , Sarang Gopalakrishnan

Ultraviolet regime in quantum theory with horizons, contrary to ordinary theory, depends on the temperature of the system due to additional surface divergences in the effective action. We evaluate their general one-loop structure paying…

High Energy Physics - Theory · Physics 2009-10-28 Dmitri Fursaev

By solving the exact master equation of open quantum systems, we formulate the quantum thermodynamics from weak to strong couplings. The open quantum systems exchange matters, energies and information with their reservoirs through quantum…

Quantum Physics · Physics 2022-06-07 Wei-Ming Huang , Wei-Min Zhang

The concept of negative temperatures has occasionally been used in connection with quantum systems. A recent example of this sort is reported in the paper of S. Braun et al. [Science 339,52 (2013)], where an attractively interacting…

General Relativity and Quantum Cosmology · Physics 2013-10-01 Iver Brevik , Øyvind Grøn

We suggest in this Letter that the Bekenstein-Hawking black hole entropy accounts for the degrees of freedom which are excited at low temperatures only and hence it leads to the negative specific heat. Taking into account the physical…

High Energy Physics - Theory · Physics 2009-10-19 Andrzej Z. Gorski , Pawel O. Mazur

The standard {\em system-plus-reservoir} approach used in the study of dissipative systems can be meaningfully generalized to a dissipative coupling involving the momentum, instead of the coordinate: the corresponding equation of motion…

Statistical Mechanics · Physics 2009-11-07 Alessandro Cuccoli , Andrea Fubini , Valerio Tognetti , Ruggero Vaia

The thermodynamical properties of a quantized electromagnetic field inside a box with perfectly conducting walls are studied using a regularization scheme that permits to obtain finite expressions for the thermodynamic potentials. The…

Quantum Physics · Physics 2007-05-23 R. Jauregui , C. Villarreal , S. Hacyan

Starting from the formal solution to the Heisenberg equation, we revisit an universal model for a quantum open system with a harmonic oscillator linearly coupled to a boson bath. The analysis of the decay process for a Fock state and a…

Quantum Physics · Physics 2015-06-11 X. Xiao , Y. B. Gao

We rederive the universal bound on entropy with the help of black holes while allowing for Unruh--Wald buoyancy. We consider a box full of entropy lowered towards and then dropped into a Reissner--Nordstr\"om black hole in equilibrium with…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Jacob D. Bekenstein