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We provide a detailed description of the quantum interferometric thermometer, which is a device that estimates the temperature of a sample from the measurements of the optical phase. For the first time, we rigorously analyze the operation…

Quantum Physics · Physics 2015-09-15 Marcin Jarzyna , Marcin Zwierz

We discuss what kind of quantum channels can enable thermalization processes. We show that in order to determine a system's temperature, a thermometer needs to dynamically gain information about the system's local Hamiltonian and not just…

Quantum Physics · Physics 2021-11-09 Daniel Grimmer , Robert B. Mann , Eduardo Martin-Martinez

The concept of temperature is one of the key ideas in describing the thermodynamical properties of a physical system. In classical statistical mechanics of ideal gases, the notion of temperature can be described in two different ways, the…

Statistical Mechanics · Physics 2007-11-12 Krishna R. Narayanan , Arun R. Srinivasa

This work studies the heat equation in a two-phase material with spherical inclusions. Under some appropriate scaling on the size, volume fraction and heat capacity of the inclusions, we derive a coupled system of partial differential…

Analysis of PDEs · Mathematics 2019-02-20 Laurent Desvillettes , François Golse , Valeria Ricci

This paper aims to mathematically advance the field of quantitative thermo-acoustic imaging. Given several electromagnetic data sets, we establish for the first time an analytical formula for reconstructing the absorption coefficient from…

Analysis of PDEs · Mathematics 2014-03-25 Habib Ammari , Josselin Garnier , Wenjia Jing , Loc Nguyen

Measurements of surface temperature fields are used to determine the heat transfer by conduction and convection from an inhomogeneously heated metallic tube into environment. For most of the here reported measurements we use a low-cost…

Applied Physics · Physics 2019-09-05 Samuel Jankových , Peter Bokes

Thermodynamics relies on the possibility to describe systems composed of a large number of constituents in terms of few macroscopic variables. Its foundations are rooted into the paradigm of statistical mechanics, where thermal properties…

Quantum Physics · Physics 2016-10-04 Antonella De Pasquale , Davide Rossini , Rosario Fazio , Vittorio Giovannetti

Uniformity of the probability measure of phase space is considered in the framework of classical equilibrium thermodynamics. For the canonical and the grand canonical ensembles, relations are given between the phase space uniformities and…

Statistical Mechanics · Physics 2008-11-26 W. Wislicki

A theoretical proposal that Coulomb-coupled quantum dots can be used as quantum probes to determine the temperature of a sample (i.e., an electronic reservoir) is proposed. Through the regulation of the positive or negative voltage bias in…

Mesoscale and Nanoscale Physics · Physics 2019-08-13 Yanchao Zhang , Jincan Chen

Recently, a morphological transition in the velocity distribution of a relativistic gas has been pointed out which shows hallmarks of a critical phenomenon. Here, we provide a general framework which allows for a thermodynamic approach to…

Statistical Mechanics · Physics 2015-10-21 Afshin Montakhab , Leila Shahsavar , Malihe Ghodrat

By shining laser light through a nanomechanical beam, we measure the beam's thermally driven vibrations and perturb its motion with optical forces at a level dictated by the Heisenberg measurement-disturbance uncertainty relation. Such…

Quantum Physics · Physics 2016-05-19 T. P. Purdy , K. E. Grutter , K. Srinivasan , J. M. Taylor

For the system with inhomogeneous distribution of macroscopic parameters we obtain thermodynamic relation which depends on the spatial point (coordinate). In our approach, to obtain such a relation we use the basic ideas of the method of…

Statistical Mechanics · Physics 2025-09-24 A. P. Rebesh , B. I. Lev , A. G. Zagorodny

Because of their massless nature, photons do not interact in linear optical media. However, light beam propagation in nonlinear media permits to break this paradigm, and makes it possible to observe photon-photon interactions. Based on this…

Optics · Physics 2022-12-27 M. Ferraro , F. Mangini , F. O. Wu , M. Zitelli , D. N. Christodoulides , S. Wabnitz

Optical thermodynamics offers a distinctive framework for understanding complex phenomena in multimode systems, yet standard ideal-gas-like formulation neglects the effect of nonlinear interaction on thermodynamic quantities, significantly…

Optics · Physics 2026-04-10 Meng Lian , Zhongfei Xiong , Yuntian Chen , Jing-Tao Lü

We show how using a special relativistic kinetic equation with a BGK- like collision operator the ensuing expression for the heat flux can be casted in the form required by Classical Irreversible Thermodynamics. Indeed, it is linearly…

General Relativity and Quantum Cosmology · Physics 2009-06-12 A. Sandoval-Villalbazo , A. L. Garcia-Perciante , L. S. Garcia-Colin

In bosonic quantum metrology, the estimate of a loss parameter is typically performed by means of pure states, such as coherent, squeezed or entangled states, while mixed thermal probes are discarded for their inferior performance. Here we…

Quantum Physics · Physics 2018-10-17 Gaetana Spedalieri , Cosmo Lupo , Samuel L. Braunstein , Stefano Pirandola

We discuss the application of techniques of quantum estimation theory and quantum metrology to thermometry. The ultimate limit to the precision at which the temperature of a system at thermal equilibrium can be determined is related to the…

Quantum Physics · Physics 2019-05-01 Antonella De Pasquale , Thomas M. Stace

On the basis of information theory, a new formalism of classical non-relativistic mechanics of a mass point is proposed. The particle trajectories of a general dynamical system defined on an (1+n)-dimensional smooth manifold are treated…

Quantum Physics · Physics 2014-07-30 Yoshimasa Kurihara , Khiem Hong Phan , Nhi My Uyen Quach

The mechanical force from light -- radiation pressure -- provides an intrinsic nonlinear interaction. Consequently, optomechanical systems near their steady state, such as the canonical optical spring, can display non-analytic behavior as a…

Statistical Mechanics · Physics 2017-11-22 Stephen Ragole , Haitan Xu , John Lawall , Jacob M. Taylor

Optical coherence tomography (OCT) is a widely used imaging technique in the micrometer regime, which gained accelerating interest in medical imaging in the last twenty years. In up-to-date OCT literature [5,6] certain simplifying…

Medical Physics · Physics 2024-02-23 Leopold Veselka , Lisa Krainz , Leonidas Mindrinos , Wolfgang Drexler , Peter Elbau