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In this work we outline the general analytic characteristics satisfied by scalar correlation functions at finite temperature in local quantum field theory. We demonstrate that the locality of the fields in particular imposes significant…

High Energy Physics - Theory · Physics 2022-09-14 Peter Lowdon

We discuss the various definitions of time correlation functions and how to estimate them from experimental or simulation data. We start with the various definitions, both in real and in Fourier space, and explain how to extract from them a…

Statistical Mechanics · Physics 2020-02-06 Tomas S. Grigera

Decoherence and the approach to the classical final limit are studied in two similar cases: the Mott and the Cosmological problems.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Mario Castagnino , Roberto Laura

We introduce a finite-time protocol that thermalizes a quantum harmonic oscillator, initially in its ground state, without requiring a macroscopic bath. The method uses a second oscillator as an effective environment and implements sudden…

Quantum Physics · Physics 2026-05-05 M. Harinarayanan , Karthik Rajeev

We consider time dependent correlation functions of non-abelian gauge fields at finite temperature. An effective theory for the soft ($p\sim g^2 T$) field modes is derived by integrating out the field modes with momenta of order $T$ and of…

High Energy Physics - Phenomenology · Physics 2009-10-31 Dietrich Bodeker

The validity of the semiclassical approximation is investigated during the preheating phase in models of chaotic inflation using a modification of a criterion previously proposed for semiclassical gravity. If the modified criterion is…

General Relativity and Quantum Cosmology · Physics 2015-10-28 Paul R. Anderson , Carmen Molina-Paris , Dillon H. Sanders

We study intraenvironmental classical and quantum correlations in a thermal machine, which is modeled as a driven quantum system coupled with thermal reservoirs. We compute the mutual information, the quantum discord, and the entanglement…

Quantum Physics · Physics 2022-01-12 Milton Aguilar , Juan Pablo Paz

The work fluctuations of a harmonic oscillator in contact with a thermostat and driven out of equilibrium by an external force are studied experimentally. For the work both the transient and stationary state fluctuation theorems hold. The…

Statistical Mechanics · Physics 2016-08-14 Sylvain Joubaud , Nicolas Garnier , Frédéric Douarche , Artem Petrosyan , Sergio Ciliberto

Recently, a thermodynamic bound on correlation times was formulated in [A. Dechant, J. Garnier-Brun, S.-i. Sasa, Phys. Rev. Lett. 131, 167101 (2023)], showing how the decay of correlations in Langevin dynamics is bounded by short-time…

Statistical Mechanics · Physics 2025-05-15 Cai Dieball , Aljaž Godec

The concept of time correlation functions is a very convenient theoretical tool in describing relaxation processes in multiparticle systems because, on one hand, correlation functions are directly related to experimentally measured…

Statistical Mechanics · Physics 2019-09-05 Anatolii V. Mokshin

We developed the functional form of the two-point correlation function under the approximation of fixed particle number density n(bar). We solved the quasi-linear partial differential equation (PDE) through the method of characteristics to…

Astrophysics of Galaxies · Physics 2022-07-01 Durakhshan Ashraf Qadri , Abdul W. Khanday , Prince A. Ganai

The effects of quantum and thermal corrections on the dynamics of a damped nonlinearly kicked harmonic oscillator are studied. This is done via the Quantum Langevin Equation formalism working on a truncated moment expansion of the density…

Quantum Physics · Physics 2007-05-23 M. Rodriguez-Achach , G. Perez , H. Cerdeira

A quantum model can be mapped to a classical model in one higher dimension. Here we introduce a finite-temperature correlation measure based on a reduced density matrix rho_A obtained by cutting the classical system along the imaginary time…

Quantum Physics · Physics 2012-12-17 J. Sirker

An approximate scaling relation is found for the transition temperature to a charge-density-wave instability in the anharmonic electron-phonon problem, which maps a wide range of interaction strengths, anharmonicities, and phonon…

Superconductivity · Physics 2009-10-31 J. K. Freericks , V. Zlatic , Mark Jarrell

We show that the one-loop effective action at finite temperature for a scalar field with quartic interaction has the same renormalized expression as at zero temperature if written in terms of a certain classical field $\phi_c$, and if we…

High Energy Physics - Phenomenology · Physics 2014-11-21 A. Bessa , F. T. Brandt , C. A. A. de Carvalho , E. S. Fraga

Conformal Field Theories (CFTs) are special classes of quantum field theories that find applications ranging from critical phenomena to theories of quantum gravity via holography. Understanding thermal effects in CFTs is crucial:…

High Energy Physics - Theory · Physics 2025-08-05 Alessio Miscioscia

We study the correlation functions of local operators in unitary $\textrm{T}\bar{\textrm{T}}$-deformed field theories, using their formulation in terms of Jackiw-Teitelboim gravity. The position of the operators is defined using the…

High Energy Physics - Theory · Physics 2024-12-05 Ofer Aharony , Netanel Barel

Onsager's regression hypothesis connects the temporal relaxation of close-to-equilibrium systems with their dynamical correlation functions at thermal equilibrium. While the hypothesis is provably correct in classical systems, it is known…

Statistical Mechanics · Physics 2024-07-17 Peter Reimann , Christian Eidecker-Dunkel

We study the long time evolution of the position-position correlation function $C_{\alpha,N}(s,t)$ for a harmonic oscillator (the {\it probe}) interacting via a coupling $\alpha$ with a large chain of $N$ coupled oscillators (the {\it heat…

Statistical Mechanics · Physics 2026-04-21 Federico Bonetto , Alberto Mario Maiocchi

It has been recently reported that classical systems have speed limit for state evolution, although such a concept of speed limit had been considered to be unique to quantum systems. Owing to the speed limit for classical system, the lower…

Quantum Physics · Physics 2021-07-08 Akihisa Ichiki , Masayuki Ohzeki