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It was shown in a previous work that, for systems in which the entropy is an extensive function of the energy and volume, the Bekenstein and the holographic entropy bounds predict new results. In this paper, we go further and derive…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Gilad Gour

This paper deals with the study of the phase transition of the wave functions of a segregated two-component Bose-Einstein condensate under Rabi coupling. This yields a system of two coupled ODE's where the Rabi coupling is linear in the…

偏微分方程分析 · 数学 2018-12-04 Amandine Aftalion , Christos Sourdis

The Bolztmann echo (BE) is a measure of irreversibility and sensitivity to perturbations for non-isolated systems. Recently, different regimes of this quantity were described for chaotic systems. There is a perturbative regime where the BE…

量子物理 · 物理学 2010-12-15 Ignacio Garcia-Mata , Bernardo Casabone , Diego A. Wisniacki

We investigate the applicability of the two major approximations which are most commonly employed in the study of the quantum Rabi model, namely the description of a resonant cavity mode as a single-mode quantized field and the use of the…

量子物理 · 物理学 2017-09-25 I. D. Feranchuk , A. V. Leonov , O. D. Skoromnik

The quantum Rabi model is a widespread description for the coupling between a two-level system and a quantized single mode of an electromagnetic resonator. Issues about this model's gauge invariance have been raised. These issues become…

The Boltzmann entropy $S^{(B)}$ is true in the case of equal probability of all microstates of a system. In the opposite case it should be averaged over all microstates that gives rise to the Boltzmann--Shannon entropy (BSE). Maximum…

统计力学 · 物理学 2007-05-23 A. G. Bashkirov

The squeezing effect arises in the interacting qubit-oscillator system is studied with the presence of a parametric oscillator in the Rabi model. Based on the generalized rotating wave approximation which works well in the wide range of…

量子物理 · 物理学 2021-05-25 V. Yogesh , Prosenjit Maity

Recent computer simulation results [Barrat {\em et al.}, Physica A 334 (2004) 513] for granular mixtures subject to stochastic driving have shown the validity of the Einstein relation $\epsilon\equiv D/(T_0\lambda)=1$ between the diffusion…

统计力学 · 物理学 2009-11-10 Vicente Garzo

Using the stochastic thermodynamics, we determine the entropy production and the dynamic heat capacity of systems subject to a sinusoidally time dependent temperature, in which case the systems are permanently out of thermodynamic…

统计力学 · 物理学 2019-06-26 Carlos E. Fiore , Mário J. de Oliveira

The time dependent entropy (or Leipnik's entropy) of harmonic and damped harmonic oscillators is extensively investigated by using time dependent wave function obtained by the Feynman path integral method. Our results for simple harmonic…

量子物理 · 物理学 2012-12-24 O. Ozcan , E. Akturk , R. Sever

In this article, we use quasifree reduction to derive the time-dependent Hartree-Fock-Bogoliubov (HFB) equations describing the dynamics of quantum fluctuations around a Bose-Einstein condensate in $\mathbb R^d$. We prove global…

数学物理 · 物理学 2018-05-15 Volker Bach , Sébastien Breteaux , Thomas Chen , Jürg Fröhlich , Israel Michael Sigal

We investigate the time evolution of the Boltzmann entropy of a dilute gas of N particles, N>>1, as it undergoes a free expansion doubling its volume. The microstate of the system, a point in the 4N dimensional phase space, changes in time…

统计力学 · 物理学 2024-10-08 P. L. Garrido , S. Goldstein , D. A. Huse , J. L. Lebowitz

We study the entanglement entropy and spectrum between components in binary Bose-Einstein condensates in $d$ spatial dimensions. We employ effective field theory to show that the entanglement spectrum exhibits an anomalous square-root…

量子气体 · 物理学 2021-04-21 Takumi Yoshino , Shunsuke Furukawa , Masahito Ueda

The time-reversal symmetry of nonequilibrium fluctuations is experimentally investigated in two out-of-equilibrium systems namely, a Brownian particle in a trap moving at constant speed and an electric circuit with an imposed mean current.…

The quantum Rabi model describes the coupling of a two-state system to a bosonic field mode. Recent theoretical work has pointed out that a generalized periodic version of this model, which maps onto Hamiltonians applicable in…

量子物理 · 物理学 2024-07-11 Geram R. Hunanyan , Johannes Koch , Stefanie Moll , Enrique Rico , Enrique Solano , Martin Weitz

Quantum Rabi model has been exactly solved by employing the parameter-dependent unitary transformation method in both the occupation number representation and the Bargmann space. The analytical expressions for the complete energy spectrum…

介观与纳米尺度物理 · 物理学 2020-08-18 Degang Zhang

Temporal coherence is a fundamental property of macroscopic quantum systems, such as lasers in optics and Bose-Einstein condensates in atomic gases and it is a crucial issue for interferometry applications with light or matter waves.…

量子气体 · 物理学 2015-05-13 Alice Sinatra , Yvan Castin , Emilia Witkowska

We derive the quantum Fisher information for entropy estimation in a Gibbs state and show that it equals the inverse of the heat capacity, which is dual to the temperature Fisher information given by the heat capacity divided by the square…

量子物理 · 物理学 2026-04-08 Francis J. Headley

For Bose-Einstein condensates in double wells, N-particle Rabi-like oscillations often seem to be damped. Far from being a decoherence effect, the apparent damping can indicate the emergence of quantum superpositions in the many-particle…

量子气体 · 物理学 2012-01-17 Christoph Weiss

The Einstein equation is derived from the proportionality of entropy and horizon area together with the fundamental relation $\delta Q=TdS$ connecting heat, entropy, and temperature. The key idea is to demand that this relation hold for all…

广义相对论与量子宇宙学 · 物理学 2010-11-01 Ted Jacobson