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Constraining molecules in simulations (such as with constant bond lengths and/or angles) reduces their degrees of freedom (DoF), which in turn affects temperature calculations in those simulations. When local temperatures are measured, e.g.…

Statistical Mechanics · Physics 2026-03-24 Stephen Sanderson , Shern R. Tee , Debra J. Searles

The experimental investigation of matter under extreme densities and temperatures as they occur for example in astrophysical objects and nuclear fusion applications constitutes one of the most active frontiers at the interface of material…

We study two small quantum systems coupled to the same reservoir which is in thermal equilibrium. By studying the particle density and the energy density in the two systems before and after they contact each other, we find that the two…

Statistical Mechanics · Physics 2012-10-12 Pei Wang

A new method called `Configurational Temperature' is introduced in the context of dusty plasma, where the temperature of the dust particles, submerged in the plasma, can be measured directly from the positional information of the individual…

Plasma Physics · Physics 2020-06-24 Rupak Mukherjee , Surabhi Jaiswal , Manish K Shukla , Ammar Hakim , Edward Thomas

We employ matrix product state simulations to study energy transport within the non-integrable regime of the one-dimensional $\mathbb{Z}_3$ chiral clock model. To induce a non-equilibrium steady state throughout the system, we consider open…

Strongly Correlated Electrons · Physics 2024-06-24 Yongchan Yoo , Brian Swingle

The existence of fluctuations of temperature has been a somewhat controversial topic in thermodynamics but nowadays it is recognized that they must be taken into account in small, finite systems. Although for nonequilibrium steady states…

Statistical Mechanics · Physics 2022-01-05 Sergio Davis

A paradigm for isothermal, mechanical rectification of stochastic fluctuations is introduced in this paper. The central idea is to transform energy injected by random perturbations into rigid-body rotational kinetic energy. The prototype…

Probability · Mathematics 2007-10-18 Nawaf Bou-Rabee , Houman Owhadi

We derive a thermodynamic uncertainty relation for general open quantum dynamics, described by a joint unitary evolution on a composite system comprising a system and an environment. By measuring the environmental state after the…

Statistical Mechanics · Physics 2021-01-06 Yoshihiko Hasegawa

We present a measurement and analysis scheme for determining traceable thermodynamic temperature at cryogenic temperatures using Coulomb blockade thermometry. The uncertainty of the electrical measurement is improved by utilizing two…

In this paper we examine the behavior in temperature of the free energy on quantum systems in an arbitrary number of dimensions. We define from the free energy a function $C$ of the coupling constants and the temperature, which in the…

Condensed Matter · Physics 2009-10-22 A. H. Castro Neto , Eduardo Fradkin

The onset of thermalization in a closed finite system of randomly interacting bosons, at the level of a single eigenstate, is discussed. The main interest is in the emergence of the Bose-Einstein distribution of single-particle occupation…

Quantum Physics · Physics 2017-05-02 Fausto Borgonovi , Francesco Mattiotti , Felix M. Izrailev

We study the stationary dynamics of an active interacting Brownian particle system. We measure the violations of the fluctuation dissipation theorem, and the corresponding effective temperature, in a locally resolved way. Quite naturally,…

Statistical Mechanics · Physics 2020-07-29 Isabella Petrelli , Leticia F. Cugliandolo , Giuseppe Gonnella , Antonio Suma

Delta-T shot noise is activated in temperature-biased electronic junctions, down to the atomic scale. It is characterized by a quadratic dependence on the temperature difference and a nonlinear relationship with the transmission…

Mesoscale and Nanoscale Physics · Physics 2025-04-08 Matthew Gerry , Jonathan J. Wang , Joanna Li , Ofir Shein-Lumbroso , Oren Tal , Dvira Segal

Quantitative thermal imaging has the potential of reliable temperature measurement across an entire field-of-view. This non-invasive technique has applications in aerospace, manufacturing and process control. However, robust temperature…

Instrumentation and Detectors · Physics 2022-04-27 Jamie McMillan , Aaron Whittam , Maciej Rokosz , Rob Simpson

We address estimation of temperature for finite quantum systems at thermal equilibrium and show that the Landau bound to precision $\delta T^2 \propto T^2$, originally derived for a classical {\em not too small} system being a portion of a…

Quantum Physics · Physics 2016-01-20 Matteo G. A. Paris

We study whether a generic isolated quantum system initially set out of equilibrium can be considered as localized close to its initial state. Our approach considers the time evolution in the Krylov basis, which maps the dynamics onto that…

Quantum Physics · Physics 2024-03-22 Youssef Aziz Alaoui , Bruno Laburthe-Tolra

Constructing a thermodynamic framework for nonequilibrium systems remains a major challenge, as quantities such as temperature and free energy often become ambiguous when inferred solely from steady-state properties. Here we take a…

An estimator for the dynamical temperature in an arbitrary ensemble is derived in the framework of Bayesian statistical mechanics and the maximum entropy principle. We test this estimator numerically by a simulation of the two-dimensional…

Statistical Mechanics · Physics 2016-12-14 G. Palma , G. Gutiérrez , S. Davis

Recently the bound on the Lyapunov exponent $\lambda_L \le 2\pi T/ \hbar$ in thermal quantum systems was conjectured by Maldacena, Shenker, and Stanford. If we naively apply this bound to a system with a fixed Lyapunov exponent $\lambda_L$,…

High Energy Physics - Theory · Physics 2019-04-02 Takeshi Morita

We show that the rate of switching between the vibrational states of a modulated nonlinear oscillator is characterized by a quantum critical temperature $T_c\propto\hbar^2$. The rate is independent of $T$ for $T<T_c$. Above $T_c$ there…

Mesoscale and Nanoscale Physics · Physics 2017-09-15 Lingzhen Guo , Vittorio Peano , M. Marthaler , M. I. Dykman