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In this work, we derive a generalized modified Friedmann equation based on an entropy-area relation that incorporates established modifications, such as volumetric, linear, and logarithmic terms, in addition to novel entropic modifications…

广义相对论与量子宇宙学 · 物理学 2024-12-17 Javier Chagoya , I. Díaz-Saldaña , Mario H. Amante , J. C. López-Domínguez , M. Sabido

In this paper we study various aspects of entanglement entropy in strongly-coupled de Sitter quantum field theories in various dimensions. We find gravity solutions that are dual to field theories in a fixed de Sitter background, both in…

高能物理 - 理论 · 物理学 2014-07-08 Willy Fischler , Sandipan Kundu , Juan F. Pedraza

The von Neumann entropy for an electron in periodic, disorder and quasiperiodic quantum small-world networks(QSWNs) are studied numerically. For the disorder QSWNs, the derivative of the spectrum averaged von Neumann entropy is maximal at a…

量子物理 · 物理学 2009-09-29 Longyan Gong , Peiqing Tong

The many-body localised phase of quantum systems is an unusual dynamical phase wherein the system fails to thermalise and yet, entanglement grows unboundedly albeit very slowly in time. We present a microscopic theory of this ultraslow…

无序系统与神经网络 · 物理学 2024-12-23 Bikram Pain , Sthitadhi Roy

We introduce an ergotropy-based formulation of quantum thermodynamics, which provides a strong connection between average heat and von Neumann entropy. By adopting this formulation, we can reinterpret the infinitesimal average heat in terms…

量子物理 · 物理学 2025-11-26 J. M. Z. Choquehuanca , P. A. C. Obando , M. S. Sarandy , F. M. de Paula

The von Neumann entropy of various quantum dissipative models is calculated in order to discuss the entanglement properties of these systems. First, integrable quantum dissipative models are discussed, i.e., the quantum Brownian motion and…

量子物理 · 物理学 2009-11-11 T. Stauber , F. Guinea

In the expanding universe, two interacting fields are no longer in thermal contact when the interaction rate becomes smaller than the Hubble expansion rate. After decoupling, two subsystems are usually treated separately in accordance with…

高能物理 - 理论 · 物理学 2017-12-20 Yuichiro Nakai , Noburo Shiba , Masaki Yamada

With the help of von Neumann entropy, we study numerically the localization properties of two interacting particles (TIP) with on-site interactions in one-dimensional disordered, quasiperiodic, and slowly varying potential systems,…

量子物理 · 物理学 2007-10-16 Longyan Gong , Peiqing Tong

We demonstrate that the dynamics of quantum coherence serves as an effective probe for identifying dephasing, which is a distinctive signature of many-body localization (MBL). Quantum coherence can be utilized to measure both the local…

量子物理 · 物理学 2024-09-19 Jin-Jun Chen , Kai Xu , Li-Hang Ren , Yu-Ran Zhang , Heng Fan

The deep connection between entropy and information is discussed in terms of both classical and quantum physics. The mechanism of information transfer between systems via entanglement is explored in the context of decoherence theory. The…

量子物理 · 物理学 2021-01-05 Martin Paul Vaughan

The single particle eigenstates of the Aubry-Andr\'e-Harper model are known to show a delocalization-localization transition at a finite strength of the quasi-periodic disorder. In this work, we point out that an intimate relationship…

强关联电子 · 物理学 2019-12-03 Nilanjan Roy , Auditya Sharma

We study the geometric distribution of the relative entropy of a charged localised state in Quantum Field Theory. With respect to translations, the second derivative of the vacuum relative entropy is zero out of the charge localisation…

高能物理 - 理论 · 物理学 2019-02-20 Roberto Longo

Understanding quantum entanglement in interacting higher-dimensional conformal field theories is a challenging task, as direct analytical calculations are often impossible to perform. With holographic entanglement entropy, calculations of…

高能物理 - 理论 · 物理学 2018-06-29 Alexander Jahn , Tadashi Takayanagi

A diagonal entropy, which depends only on the diagonal elements of the system's density matrix in the energy representation, has been recently introduced as the proper definition of thermodynamic entropy in out-of-equilibrium quantum…

统计力学 · 物理学 2012-02-17 Lea F. Santos , Anatoli Polkovnikov , Marcos Rigol

An ensemble of classical subsystems interacting with surrounding particles has been considered. In general case, a phase volume of the subsystems ensemble was shown to be a function of time. The evolutional equations of the ensemble are…

统计力学 · 物理学 2015-06-24 S. R. Sharov

The celebrated antiferromagnetic phase transition was realized in a most recent optical lattice experiment for 3D fermionic Hubbard model [Shao {\it et al}., Nature {\bf 632}, 267 (2024)]. Despite the great achievement, it was observed that…

强关联电子 · 物理学 2026-05-12 Yu-Feng Song , Youjin Deng , Yuan-Yao He

We analyze the translational and rotational motion of an ellipsoidal Brownian particle from the viewpoint of stochastic thermodynamics. The particle's Brownian motion is driven by external forces and torques and takes place in an…

统计力学 · 物理学 2018-12-19 Raffaele Marino , Ralf Eichhorn , Erik Aurell

Control of open quantum dynamics is of great interest for realizing quantum technologies. Therefore, it is an important task to quantify and characterize the entropy for open quantum systems under decoherence. In this paper, we study the…

量子物理 · 物理学 2024-05-21 Kohei Kobayashi

We introduce a simple microscopic quantum mechanical model of low-dimensional de Sitter holography with an observer. Using semiclassical gravity and elementary thermodynamic considerations, we derive a formula for the total entropy of a 3D…

高能物理 - 理论 · 物理学 2025-02-07 Damiano Tietto , Herman Verlinde

The entropy of a classical thermally isolated Hamiltonian system is given by the logarithm of the measure of phase space enclosed by the constant energy hyper-surface, also known as volume entropy. It has been shown that on average the…

统计力学 · 物理学 2016-10-12 Michele Campisi