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Related papers: Optimal Estimation of Temperature in Finite-sized …

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From a new rigorous formulation of the general axiomatic foundations of thermodynamics we derive an operational definition of entropy that responds to the emergent need in many technological frameworks to understand and deploy thermodynamic…

Quantum Physics · Physics 2019-11-21 Gian Paolo Beretta , Enzo Zanchini

Some rigorous conclusions of the Hubbard model, Kondo lattice model and periodic Anderson model at finite temperature are acquired employing the fluctuation-dissipation theorem and particle-hole transform. The main conclusion states that…

Strongly Correlated Electrons · Physics 2009-10-31 Sze-Shiang Feng

The physical impossibility of heat transfer under isothermal conditions implies that the classical expression for the entropy of the ideal gas may not be compatible with the internal energy of the gas itself. A corrected expression of the…

Statistical Mechanics · Physics 2023-09-01 A. Paglietti

By numerically exact calculations of spin-1/2 antiferromagnetic Heisenberg models on small clusters, we demonstrate that quantum entanglement between subsystems $A$ and $B$ in a pure ground state of a whole system $A+B$ can induce thermal…

Quantum Physics · Physics 2020-10-20 Kazuhiro Seki , Seiji Yunoki

The heat capacity $\mathcal{C}$ of a given probe is a fundamental quantity that determines, among other properties, the maximum precision in temperature estimation. In turn, $\mathcal{C}$ is limited by a quadratic scaling with the number of…

Entropy production characterizes the thermodynamic irreversibility and reflects the amount of heat dissipated into the environment and free energy lost in nonequilibrium systems. According to the thermodynamic uncertainty relation, we…

Statistical Mechanics · Physics 2020-05-01 Tan Van Vu , Van Tuan Vo , Yoshihiko Hasegawa

For systems that self assemble into finite-sized objects, it is sometimes convenient to compute the thermodynamics for a small system where a single assembly can form. However, we show that in the canonical ensemble the use of small systems…

Soft Condensed Matter · Physics 2010-02-24 Thomas E. Ouldridge , Ard A. Louis , Jonathan P. K. Doye

We describe some interesting effects observed during the evolution of nonequilibrium systems, using domain growth and glassy systems as examples. We breafly discuss the analytical tools that have been recently used to study the dynamics of…

Condensed Matter · Physics 2009-10-31 Leticia F. Cugliandolo

We review an scenario for the non-equilibrium dynamics of glassy systems that has been motivated by the exact solution of simple models. This approach allows one to set on firmer grounds well-known phenomenological theories. The old ideas…

Statistical Mechanics · Physics 2009-11-07 Leticia F. Cugliandolo

The theory of small-system thermodynamics was originally developed to extend the laws of thermodynamics to length scales of nanometers. Here we review this "nanothermodynamics," and stress how it also applies to large systems that subdivide…

Statistical Mechanics · Physics 2020-07-28 Ralph V. Chamberlin , Michael R. Clark , Vladimiro Mujica , George H. Wolf

Estimating entropy production from real observation data can be difficult due to finite resolution in both space and time and finite measurement statistics. We characterize the statistical error introduced by finite sample size and compare…

Statistical Mechanics · Physics 2025-04-09 Jonas H. Fritz , Benjamin Ertel , Udo Seifert

Quantum thermometry aims to measure temperature in nanoscale quantum systems, paralleling classical thermometry. However, temperature is not a quantum observable, and most theoretical studies have therefore concentrated on analyzing…

Quantum Physics · Physics 2026-04-10 Yan Xie , Junjie Liu

The past twenty years have seen a resurgence of interest in nonequilibrium thermodynamics, thanks to advances in the theory of stochastic processes and in their thermodynamic interpretation. Fluctuation theorems provide fundamental…

Statistical Mechanics · Physics 2017-11-16 Robert Marsland , Jeremy England

We investigate the consequences of information exchange between a system and a measurement-feedback apparatus that cools the system below the environmental temperature. A quantitative relationship between entropy pumping and information…

Statistical Mechanics · Physics 2025-08-19 Andreas Dechant , Jakob Hüpfl , Shuta Kobayashi , Sosuke Ito , Stefan Rotter

Precise temperature measurements on systems of few ultracold atoms is of paramount importance in quantum technologies, but can be very resource-intensive. Here, we put forward an adaptive Bayesian framework that substantially boosts the…

We study the Bayesian approach to thermometry with no prior knowledge about the expected temperature scale, through the example of energy measurements on fully or partially thermalized qubit probes. We show that the most common Bayesian…

Quantum Physics · Physics 2021-12-07 Julia Boeyens , Stella Seah , Stefan Nimmrichter

We study the mechanical fluctuations of a micrometer sized silicon cantilever subjected to a strong heat flow, thus having a highly non-uniform local temperature. In this non-equilibrium steady state, we show that fluctuations are…

Statistical Mechanics · Physics 2017-04-06 Mickael Geitner , Felipe Aguilar Sandoval , Eric Bertin , Ludovic Bellon

We determine quantum precision limits for estimation of damping constants and temperature of lossy bosonic channels. A direct application would be the use of light for estimation of the absorption and the temperature of a transparent slab.…

Quantum Physics · Physics 2020-09-16 Jiaxuan Wang , Luiz Davidovich , Girish Saran Agarwal

The tradeoff relation between speed and cost is a central issue in designing fast and efficient information processing devices. We derive an achievable bound on thermodynamic cost for obtaining information through finite-time…

Statistical Mechanics · Physics 2024-05-16 Rihito Nagase , Takahiro Sagawa

Stochastic thermodynamics extends classical thermodynamics to small systems in contact with one or more heat baths. It can account for the effects of thermal fluctuations and describe systems far from thermodynamic equilibrium. A basic…

Statistical Mechanics · Physics 2018-01-04 Momčilo Gavrilov , Raphaël Chétrite , John Bechhoefer