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In this paper we compute the temperature registered by an Unruh-DeWitt detector coupled to a Hadamard renormalizable quantum field in an arbitrary state, moving along an accelerated trajectory in a curved spacetime. For a massless and…

General Relativity and Quantum Cosmology · Physics 2018-11-01 Morgan H. Lynch , Niayesh Afshordi

This paper is about nonequilibrium steady states (NESS) of a class of stochastic models in which particles exchange energy with their "local environments" rather than directly with one another. The physical domain of the system can be a…

Mathematical Physics · Physics 2016-03-25 Yao Li , Peter Nandori , Lai-Sang Young

A local formula for the dimension of a superselection sector in Quantum Field Theory is obtained as vacuum expectation value of the exponential of the proper Hamiltonian. In the particular case of a chiral conformal theory, this provides a…

General Relativity and Quantum Cosmology · Physics 2011-04-06 Roberto Longo

One of the fundamental questions in Quantum Field Theory regards the determination of a measure of the degrees of freedom of theories that is consistent with the Renormalization Group flow. The answer seems to be encoded in the C-theorems,…

High Energy Physics - Theory · Physics 2018-03-19 Daniela D'Ascanio

We consider a generic classical many particle system described by an autonomous Hamiltonian $H(x^{_1},...,x^{_{N+2}})$ which, in addition, has a conserved quantity $V(x^{_1},...,x^{_{N+2}})=v$, so that the Poisson bracket $\{H,V \}$…

Statistical Mechanics · Physics 2015-05-18 Roberto Franzosi

We present a general method to determine the entropy current of relativistic matter at local thermodynamic equilibrium in quantum statistical mechanics. Provided that the local equilibrium operator is bounded from below and its lowest lying…

High Energy Physics - Theory · Physics 2019-07-22 F. Becattini , D. Rindori

We identify the relativistic-fluid counterpart of the Unruh effect, in which a comoving probe measures a Thermodynamic Unruh temperature. Frame changes in first-order hydrodynamics are recast as a local, time-dependent hyperbolic rotation…

General Relativity and Quantum Cosmology · Physics 2025-11-27 Eren Erberk Erkul

We discuss the concept of local thermodynamical equilibrium in relativistic hydrodynamics in flat spacetime in a quantum statistical framework without an underlying kinetic description, suitable for strongly interacting fluids. We show that…

High Energy Physics - Theory · Physics 2015-05-20 F. Becattini , L. Bucciantini , E. Grossi , L. Tinti

We discuss the concept of local temperature for quantum systems driven out of equilibrium by ac pumps showing explicitly that it is the correct indicator for heat flow. We also show that its use allows for a generalization of the Wiedemann…

Mesoscale and Nanoscale Physics · Physics 2011-04-18 Alvaro Caso , Liliana Arrachea , Gustavo S. Lozano

Local thermal equilibrium generally implies the absence of heat flux within a fluid. We find the relations between a set of thermodynamic variables of a fluid on a general spacetime and those defined on a conformally connected spacetime,…

General Relativity and Quantum Cosmology · Physics 2025-07-09 Bhera Ram , Bibhas Ranjan Majhi

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

Dynamical properties of a generic null surface are known to have a thermodynamic interpretation. Such an interpretation is completely based on an analogy between the usual law of thermodynamics and structure of gravitational field equation…

General Relativity and Quantum Cosmology · Physics 2022-01-12 Surojit Dalui , Bibhas Ranjan Majhi , T. Padmanabhan

The notions of temperature, entropy and `evaporation', usually associated with spacetimes with horizons, are analyzed using general approach and the following results, applicable to different spacetimes, are obtained at one go. (i) The…

General Relativity and Quantum Cosmology · Physics 2016-08-31 T. Padmanabhan

In this paper, we numerically investigate whether quantum thermalization occurs during the time evolution induced by a non-local Hamiltonian whose spectra exhibit integrability. This non-local and integrable Hamiltonian is constructed by…

High Energy Physics - Theory · Physics 2025-08-28 Masataka Matsumoto , Shuta Nakajima , Masahiro Nozaki , Ryosuke Yoshii

While much is known about the entanglement characteristics of ground states, the properties of reduced thermal density matrices have received significantly less attention. Here we investigate the entanglement content of reduced thermal…

Strongly Correlated Electrons · Physics 2017-08-08 Balázs Dóra , Izabella Lovas , Frank Pollmann

We show how the local temperature of out-of-equilibrium, quantum electron systems can be consistently defined with the help of an external voltage and temperature probe. We determine sufficient conditions under which the temperature…

Statistical Mechanics · Physics 2015-06-16 J. Meair , J. P. Bergfield , C. A. Stafford , Ph. Jacquod

Measuring local temperatures of open systems out of equilibrium is emerging as a novel approach to study the local thermodynamic properties of nanosystems. An operational protocol has been proposed to determine the local temperature by…

Mesoscale and Nanoscale Physics · Physics 2021-02-17 Xiangzhong Zeng , Lyuzhou Ye , Daochi Zhang , Rui-Xue Xu , Xiao Zheng , Massimiliano Di Ventra

For every local quantum field theory on a static, globally hyperbolic spacetime of arbitrary dimension, assuming the Reeh-Schlieder property, local preparability of states, and the existence of an energy density as operator-valued…

Mathematical Physics · Physics 2022-10-14 Albert Much , Albert Georg Passegger , Rainer Verch

We quantize a scalar field at finite temperature T in the background of a classical black hole, adopting 't Hooft's ``brick wall'' model with generic mixed boundary conditions at the brick wall boundary. We first focus on the exactly…

High Energy Physics - Theory · Physics 2007-05-23 Giuseppe Milanesi , Mihail Mintchev

We show that thermal states of local Hamiltonians are separable above a constant temperature. Specifically, for a local Hamiltonian $H$ on a graph with degree $\mathfrak{d}$, its Gibbs state at inverse temperature $\beta$, denoted by $\rho…

Quantum Physics · Physics 2025-02-25 Ainesh Bakshi , Allen Liu , Ankur Moitra , Ewin Tang