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A recently proposed history formalism is used to define temporal entanglement in quantum systems, and compute its entropy. The procedure is based on the time-reduction of the history density operator, and allows a symmetrical treatment of…

量子物理 · 物理学 2022-04-05 Leonardo Castellani

We propose an extension of the principle of virtual work of mechanics to random dynamics of mechanical systems. The total virtual work of the interacting forces and inertial forces on every particle of the system is calculated by…

统计力学 · 物理学 2008-01-28 Qiuping A. Wang

Entanglement entropy in local quantum field theories is typically ultraviolet divergent due to short distance effects in the neighbourhood of the entangling region. In the context of gauge/gravity duality, we show that surface terms in…

广义相对论与量子宇宙学 · 物理学 2013-10-04 Arpan Bhattacharyya , Aninda Sinha

Results on heat current, entropy production rate and entanglement are reported for a quantum system coupled to two different temperature heat reservoirs. By applying a temperature gradient, different quantum states can be found with exactly…

介观与纳米尺度物理 · 物理学 2013-05-29 Luis Quiroga , Ferney J. Rodriguez , Maria E. Ramirez , Roberto Paris

A thermo field dynamics approach for calculating the entropy of a spacetime is suggested. It is exemplified through the Rindler spacetime, the Milne spacetime, the Boulware spacetime, and the Minkowski spacetime with a moving mirror that…

广义相对论与量子宇宙学 · 物理学 2015-11-03 Yu-Zhu Chen , Wen-Du Li , Wu-Sheng Dai

Standard entropy calculations in quantum field theory, when applied to a subsystem of definite volume, exhibit area-dependent UV divergences that make a thermodynamic interpretation troublesome. In this paper we define a renormalized…

高能物理 - 理论 · 物理学 2009-01-28 Sergio Cacciatori , Fabio Costa , Federico Piazza

Local Shannon entropy lies at the heart of modern thermodynamics, with much discussion of trajectory-dependent entropy production. When taken at both boundaries of a process in phase space, it reproduces the second law of thermodynamics…

统计力学 · 物理学 2015-01-20 Lee Jinwoo , Hajime Tanaka

In local quantum field theory, the entanglement entropy of a region is divergent due to the arbitrary short-wavelength correlations near the boundary of the region. Quantum gravitational fluctuations are expected to cut off the entropy of…

高能物理 - 理论 · 物理学 2020-10-13 Usman Naseer

Quantum Brownian motion model is a typical model in the study of nonequilibrium quantum thermodynamics. Entropy is one of the most fundamental physical concepts in thermodynamics. In this work, by solving the quantum Langevin equation, we…

量子物理 · 物理学 2021-08-11 Tian Qiu , H. T. Quan

An upper bound of the relative entanglement entropy of thermal states at an inverse temperature $\beta$ of linear, massive Klein-Gordon and Dirac quantum field theories across two regions, separated by a nonzero distance $d$ in a Cauchy…

数学物理 · 物理学 2020-02-25 Onirban Islam

Quantum many-body states that frequently appear in physics often obey an entropy scaling law, meaning that an entanglement entropy of a subsystem can be expressed as a sum of terms that scale linearly with its volume and area, plus a…

量子物理 · 物理学 2021-05-26 Isaac H. Kim

Understanding thermodynamics and statistical mechanics in the full general relativistic context is an open problem. I give tentative definitions of equilibrium state, mean values, mean geometry, entropy and temperature, which reduce to the…

广义相对论与量子宇宙学 · 物理学 2013-05-01 Carlo Rovelli

We consider the universal logarithmic divergent term in the entanglement entropy of gauge fields in the Minkowski vacuum with an entangling sphere. Employing the mapping in arXiv:1102.0440, we analyze the corresponding thermal entropy on…

高能物理 - 理论 · 物理学 2015-06-17 Christopher Eling , Yaron Oz , Stefan Theisen

We use rigorous non-equilibrium thermodynamic arguments to prove (i) the residual entropy of any system is bounded below by the experimentally (calorimetrically) determined absolute temperature entropy, which itself is bounded below by the…

统计力学 · 物理学 2011-06-13 P. D. Gujrati

The coefficient of the logarithmic term in the entropy on even spheres is re-computed by the local technique of integrating the finite temperature energy density up to the horizon on static d--dimensional de Sitter space and thence finding…

高能物理 - 理论 · 物理学 2010-09-29 J. S. Dowker

Entanglement entropy appears as a central property of quantum systems in broad areas of physics. However, its precise value is often sensitive to unknown microphysics, rendering it incalculable. By considering parametric dependence on…

高能物理 - 理论 · 物理学 2011-02-09 Mark P. Hertzberg , Frank Wilczek

Conventional Non-equilibrium Thermodynamics is mainly concerned with systems in local equilibrium and their entropy production, due to the irreversible processes which take place in these systems. In this paper fluids will be considered in…

统计力学 · 物理学 2015-06-18 E. G. D. Cohen , R. L. Merlino

Entanglement and entropy are key concepts standing at the foundations of quantum and statistical mechanics, respectively. In the last decade the study of quantum quenches revealed that these two concepts are intricately intertwined.…

强关联电子 · 物理学 2017-08-21 Vincenzo Alba , Pasquale Calabrese

We study the thermodynamical properties of the quantum kicked rotator, coarsened by an external fluctuation with a weak intensity D, by means of the Tsallis entropy with a changing entropic index q. The genuine entropic index, corresponding…

量子物理 · 物理学 2007-05-23 Luigi Palatella , Paolo Grigolini

A measure of how sensitive the entanglement entropy is in a quantum system, has been proposed and its information geometric origin is discussed. It has been demonstrated for two exactly solvable spin systems, that thermodynamic criticality…

统计力学 · 物理学 2025-10-02 Pritam Sarkar