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We study the ratio of the entropy to the total energy in conformal field theories at finite temperature. For the free field realizations of N=4 super Yang-Mills theory in D=4 and the (2,0) tensor multiplet in D=6, the ratio is bounded from…

高能物理 - 理论 · 物理学 2007-05-23 George Siopsis

Local memory - the ability to extract information from a subsystem about its initial state - is a central feature of many-body localization. We introduce, investigate, and compare several information-theoretic quantifications of memory and…

无序系统与神经网络 · 物理学 2022-07-27 Alex Nico-Katz , Abolfazl Bayat , Sougato Bose

Open Markovian quantum systems with fast and full Hamiltonian control can be reduced to an equivalent control system on the standard simplex modelling the dynamics of the eigenvalues of the density matrix describing the quantum state. We…

量子物理 · 物理学 2025-03-04 Emanuel Malvetti , Frederik vom Ende , Gunther Dirr , Thomas Schulte-Herbrüggen

The standard dynamical approach to quantum thermodynamics is based on Markovian master equations describing the thermalization of a system weakly coupled to a large environment, and on tools such as entropy production relations. Here we…

量子物理 · 物理学 2022-08-08 Matteo Lostaglio , Kamil Korzekwa

Quantum thermodynamics has emerged as a central field for understanding how energy conversion processes occur in microscopic systems. In these systems, effects such as coherence, entanglement, and non-Markovianity play key roles. In this…

量子物理 · 物理学 2025-12-02 J. M. Z. Choquehuanca

The quantum thermodynamic behavior of small systems is investigated in presence of finite quantum dissipation. We consider the archetype cases of a damped harmonic oscillator and a free quantum Brownian particle. A main finding is that…

量子物理 · 物理学 2007-05-23 Peter Hänggi , Gert-Ludwig Ingold

We study the high-dimensional limit of the free energy associated with the inference problem of finite-rank matrix tensor products. In general, we bound the limit from above by the unique solution to a certain Hamilton-Jacobi equation.…

概率论 · 数学 2021-03-25 Hong-Bin Chen , Jiaming Xia

An explicit calculation is given of the entropy/energy ratio for the TM modes of the electromagnetic field in the half Einstein universe. This geometry provides a mathematically convenient and physically instructive example of how the…

高能物理 - 理论 · 物理学 2008-11-26 I. Brevik , R. Herikstad , S. Skriudalen

Let a general quantum many-body system at a low temperature adiabatically cross through the vicinity of the system's quantum critical point. We show that the system's temperature is significantly suppressed due to both the entropy…

统计力学 · 物理学 2009-08-27 Shi-Jian Gu

Open quantum systems are studied from the thermodynamical point of view unifying the principle of maximum informational entropy and the hypothesis of relaxation times hierarchy. The result of the unification is a non-Markovian and local in…

量子物理 · 物理学 2014-11-24 Vitalii Semin , Francesco Petruccione

This report concerns the energy of neutron-matter for densities below $0.15 fm^{-3}$ and temperatures at and below $10 MeV$. Separable NN-interactions are obtained by inverse scattering from the experimental phase-shifts with specified…

核理论 · 物理学 2008-03-21 H. S. Köhler

We prove a generalization of the strong subadditivity of the von Neumann entropy for bosonic quantum Gaussian systems. Such generalization determines the minimum values of linear combinations of the entropies of subsystems associated to…

量子物理 · 物理学 2024-07-02 Giacomo De Palma , Dario Trevisan

Using techniques proposed in [Sason, IEEE Trans. Inf. Th. 59, 7118 (2013)] and [Becker, Datta and Jabbour, IEEE Trans. Inf. Th. 69, 4128 (2023)], and based on the results from the latter, we construct a globally optimal continuity bound for…

量子物理 · 物理学 2025-02-27 S. Becker , N. Datta , M. G. Jabbour , M. E. Shirokov

We derive the equations governing the protocols minimizing the heat released by a continuous-time Markov jump process on a one-dimensional countable state space during a transition between assigned initial and final probability…

统计力学 · 物理学 2021-10-15 Paolo Muratore-Ginanneschi , Carlos Mejía-Monasterio , Luca Peliti

The positivity conditions of the relative entropy between two thermal equilibrium states $\hat{\rho}_1$ and $\hat{\rho}_2$ are used to obtain upper and lower bounds for the subtraction of their entropies, the Helmholtz potential and the…

In nuclear fusion and fission, fluctuation and dissipation arise due to the coupling of collective degrees of freedom with internal excitations. Close to the barrier, both quantum, statistical and non-Markovian effects are expected to be…

核理论 · 物理学 2010-04-06 G. Hupin , D. Lacroix

We show that the maximum extractable work (ergotropy) from a quantum many-body system is constrained by local athermality of an initial state and local entropy decrease brought about by quantum operations. The obtained universal upper bound…

量子物理 · 物理学 2025-01-31 Akihiro Hokkyo , Masahito Ueda

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

A simplified transient energy-transport system for semiconductors subject to mixed Dirichlet-Neumann boundary conditions is analyzed. The model is formally derived from the non-isothermal hydrodynamic equations in a particular vanishing…

偏微分方程分析 · 数学 2012-06-26 Ansgar Jüngel , René Pinnau , Elisa Röhrig

We explore an analogy between the thermodynamics of a free dissipative quantum particle and that of an electromagnetic field between two mirrors of finite conductivity. While a free particle isolated from its environment will effectively be…

量子物理 · 物理学 2010-03-26 Gert-Ludwig Ingold , Astrid Lambrecht , Serge Reynaud