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We study thermal correlation functions of the one-dimensional impenetrable lattice anyons. These correlation functions can be presented as a difference of two Fredholm determinants. To describe large time and long distance behavior of these…

Quantum Gases · Physics 2022-03-14 Yuri Zhuravlev , Eduard Naichuk , Nikolai Iorgov , Oleksandr Gamayun

The Thermal Time Hypotheis (TTH) has been proposed as a general method for identifying a time variable from within background-free theories which do not come equipped with a pre-defined clock variable. Here, we explore some implications of…

General Relativity and Quantum Cosmology · Physics 2011-08-04 Nicolas C. Menicucci , S. Jay Olson , Gerard J. Milburn

The nonextensive thermodynamic relations are expressed under the assumption of temperature duality, endowing the "physical temperature" and the "Lagrange temperature" in different physical sense. Based on this assumption, two sets of…

Statistical Mechanics · Physics 2016-10-18 Yahui Zheng , Jiulin Du

The time evolution of occupation number is studied for a bosonic oscillator (with one and two degrees of freedom) linearly fully coupled to fermionic and bosonic heat baths. The absence of equilibrium in this oscillator is discussed as a…

Quantum Physics · Physics 2021-05-12 V. V. Sargsyan , A. A. Hovhannisyan , G. G. Adamian , N. V. Antonenko , D. Lacroix

We consider classical $O(N)$ vector models in dimension three and higher and investigate the nature of the low-temperature expansions for their multipoint spin correlations. We prove that such expansions define asymptotic series, and derive…

Mathematical Physics · Physics 2025-03-12 Alessandro Giuliani , Sébastien Ott

It is understood that in free bosonic theories, the classical field theory accurately describes the full quantum theory when the occupancy numbers of systems are very large. However, the situation is less understood in interacting theories,…

High Energy Physics - Phenomenology · Physics 2016-12-07 Mark P. Hertzberg

It is first shown that the Dirac's equation in a relativistic frame could be modified to allow discrete time, in agreement to a recently published upper bound. Next, an exact self-adjoint $4\times 4$ relativistic time operator for…

Quantum Physics · Physics 2017-06-26 Sina Khorasani

Using a proposed generalization of the pair distribution function for a gas of non-interacting particles obeying fractional exclusion statistics in arbitrary dimensionality, we derive the statistical correlations in the asymptotic limit of…

Statistical Mechanics · Physics 2009-01-09 F. M. D. Pellegrino , G. G. N. Angilella , N. H. March , R. Pucci

In this paper I discuss the concept of time in physics. I consider the thermal time hypothesis and I claim that thermal clocks and atomic clocks measure different physical times, whereby thermal time and relativistic time are not compatible…

General Relativity and Quantum Cosmology · Physics 2018-07-24 Claudio Borghi

We consider thermal Wightman correlators in a relativistic quantum field theory in the limit where the spatial momenta of the insertions become large while their frequencies stay fixed. We show that, in this limit, the size of these…

High Energy Physics - Theory · Physics 2020-07-22 Souvik Banerjee , Kyriakos Papadodimas , Suvrat Raju , Prasant Samantray , Pushkal Shrivastava

When an electromagnetic field is confined in a cavity of variable length, real photons may be generated from vacuum fluctuations due to highly nonadiabatic boundary conditions. The corresponding effective Hamiltonian is time-dependent and…

Quantum Physics · Physics 2023-09-29 I. Ramos-Prieto , R. Román-Ancheyta , F. Soto-Eguibar , J. Récamier , H. M. Moya-Cessa

Exponential growth of thermal out-of-time-order correlator (OTOC) is an indicator of a possible gravity dual, and a simple toy quantum model showing the growth is being looked for. We consider a system of two harmonic oscillators coupled…

High Energy Physics - Theory · Physics 2020-08-26 Tetsuya Akutagawa , Koji Hashimoto , Toshiaki Sasaki , Ryota Watanabe

We study real-time local correlators $\langle\mathcal{O}(\mathbf{x},t)\mathcal{O}(0,0)\rangle$ in chaotic quantum many-body systems. These correlators show universal structure at late times, determined by the dominant operator-space Feynman…

Statistical Mechanics · Physics 2023-01-04 Adam Nahum , Sthitadhi Roy , Sagar Vijay , Tianci Zhou

We study the finite-temperature scrambling behavior of a quantum system described by a Hamiltonian chosen from a random matrix ensemble. This effectively (0+1)-dimensional model admits an exact calculation of various ensemble-averaged…

Strongly Correlated Electrons · Physics 2018-03-23 Sagar Vijay , Ashvin Vishwanath

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

We present a large deviations theory of the spin-spin correlation functions in the Random Field Ising Model on the Bethe lattice, both at finite and zero temperature. Rare events of atypically correlated variables are particularly important…

Disordered Systems and Neural Networks · Physics 2014-07-02 Flaviano Morone , Giorgio Parisi , Federico Ricci-Tersenghi

We report on the progress of understanding spatial correlation functions in high temperature QCD. We study isovector meson operators in $N_f=2$ QCD using domain-wall fermions on lattices of $N_s=32$ and different quark masses. It has…

High Energy Physics - Lattice · Physics 2018-10-08 C. Rohrhofer , Y. Aoki , G. Cossu , L. Ya. Glozman , S. Hashimoto , S. Prelovsek

The linear response to temperature changes is derived for systems with overdamped stochastic dynamics. Holding both in transient and steady state conditions, the results allow to compute nonequilibrium thermal susceptibilities from…

Statistical Mechanics · Physics 2016-04-11 Gianmaria Falasco , Marco Baiesi

We calculate the expectation values of the stress-energy bitensor defined at two different spacetime points $x, x'$ of a massless, minimally coupled scalar field with respect to a quantum state at finite temperature $T$ in a flat…

High Energy Physics - Theory · Physics 2016-03-23 H. T. Cho , B. L. Hu

We study the $O(N)$ vector model for scalars with quartic interaction at large $N$ on $S^1\times S^2$ without the singlet constraint. The non-trivial fixed point of the model is described by a thermal mass satisfying the gap equation at…

High Energy Physics - Theory · Physics 2025-11-13 Justin R. David , Srijan Kumar