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We consider finite volume (or equivalently, finite temperature) expectation values of local operators in integrable quantum field theories using a combination of numerical and analytical approaches. It is shown that the truncated conformal…

High Energy Physics - Theory · Physics 2015-06-15 I. M. Szécsényi , G. Takács , G. M. T. Watts

We analyze in detail the perturbative decay of the inflaton oscillating about a generic form of its potential $V(\phi) = \phi^k$, taking into account the effects of non-instantaneous reheating. We show that evolution of the temperature as a…

High Energy Physics - Phenomenology · Physics 2021-04-14 Marcos A. G. Garcia , Kunio Kaneta , Yann Mambrini , Keith A. Olive

We study the finite-temperature behavior of the Lipkin-Meshkov-Glick model, with a focus on correlation properties as measured by the mutual information. The latter, which quantifies the amount of both classical and quantum correlations, is…

Statistical Mechanics · Physics 2012-02-01 J. Wilms , J. Vidal , F. Verstraete , S. Dusuel

In order to investigate the reliability of the classical approximation for non-perturbative real time correlation functions at finite temperature we study the two-point correlator for the anharmonic oscillator. For moderately large times…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. B"odeker

The general correlations between massless fermions are calculated in the Schwinger model at arbitrary temperature. The zero temperature calculations on the plane are reviewed and clarified. Then the finite temperature fermionic Green's…

High Energy Physics - Theory · Physics 2009-10-28 James V. Steele , Ajay Subramanian , Ismail Zahed

In this paper we study one-dimensional conformal field theory at finite temperature dual to the two-dimensional anti-de Sitter spacetime in the Rindler coordinates. We show that conformal symmetry for thermal two-point functions manifests…

High Energy Physics - Theory · Physics 2016-11-04 Satoshi Ohya

The one-dimensional Ising model is easily generalized to a \textit{genuinely nonequilibrium} system by coupling alternating spins to two thermal baths at different temperatures. Here, we investigate the full time dependence of this system.…

Statistical Mechanics · Physics 2007-05-23 M. Mobilia , R. K. P. Zia , B. Schmittmann

A basis set expansion is employed to calculate spectra and eigenstates of charge carriers within a toroidal volume characterized by major radius $R$ and minor radius $a$ immersed in an azimuthally symmetric magnetic field. The angular…

Mesoscale and Nanoscale Physics · Physics 2018-08-23 Mario Encinosa , Johnny Williamson

The expansion of the partition function for large coordination number $Z$ is a long standing method and has formerly been used to describe the Ising model at finite temperatures. We extend this approach and study the interacting Bose gas at…

Quantum Gases · Physics 2016-08-31 Patrick Navez , Friedemann Queisser , Ralf Schützhold

Within a holographic model, we calculate the time evolution of 2-point and 1-point correlation functions (of selected operators) within a charged strongly coupled system of many particles. That system is thermalizing from an anisotropic…

High Energy Physics - Theory · Physics 2019-10-02 Casey Cartwright , Matthias Kaminski

A quantum field-theoretical model which describes spatially non-homogeneous one-dimensional non-relativistic repulsive Bose gas in an external harmonic potential is considered. We calculate the two-point thermal correlation function of the…

Statistical Mechanics · Physics 2018-09-19 N. M. Bogoliubov , C. Malyshev

In the high dimension (mean field) limit the susceptibility and the second moment correlation length of the Ising ferromagnet depend on temperature as chi(T)=tau^{-1} and xi(T)=T^{-1/2}tau^{-1/2} exactly over the entire temperature range…

Statistical Mechanics · Physics 2009-11-13 I. A. Campbell , P. Butera

Numerical methods are used to examine the thermodynamic characteristics of the two-dimensional Ising model as a function of the number of spins N. Onsager's solution is generalized to a finite-size lattice, and experimentally validated…

Disordered Systems and Neural Networks · Physics 2017-06-09 M. Yu. Malsagov , I. M. Karandashev , B. V. Kryzhanovsky

We consider the planar Ising model in a finite square box and we replace the temperature parameter with a function depending on the magnetization. This creates a feedback from the spin configuration onto the parameter, which drives the…

Probability · Mathematics 2021-02-22 Nicolas Forien

We present calculations of the complex-temperature zeros of the partition functions for 2D Ising models on the square lattice with spin $s=1$, 3/2, and 2. These give insight into complex-temperature phase diagrams of these models in the…

High Energy Physics - Lattice · Physics 2009-10-28 Victor Matveev , Robert Shrock

We use the virial expansion to investigate the behavior of the two-component, attractive Fermi gas in the high-temperature limit, where the system smoothly evolves from weakly attractive fermions to weakly repulsive bosonic dimers as the…

Quantum Gases · Physics 2015-01-12 V. Ngampruetikorn , Meera M. Parish , Jesper Levinsen

We compute the weak coupling expansion for the energy of the three dimensional Ising model through 48 excited bonds. We also compute the magnetization through 40 excited bonds. This was achieved via a recursive enumeration of states of…

High Energy Physics - Lattice · Physics 2009-10-22 Gyan Bhanot , Michael Creutz , Jan Lacki

Thermal correlation functions and the associated effective statistical potential are computed in two- and three-dimensional non-commutative space using an operator formulation that makes no reference to a star product. The corresponding…

High Energy Physics - Theory · Physics 2015-06-16 Yendrembam Chaoba Devi , Kumar Jang Bahadur Ghosh , Biswajit Chakraborty , Frederik Scholtz

Recent work on local functional theories of critical inhomogeneous fluids and Ising-like magnets has shown them to be a potentially exact, or near exact, description of universal finite-size effects associated with the excess free-energy…

Condensed Matter · Physics 2009-10-31 A. O. Parry , E. D. Macdonald , C. Rascon

We develop finite temperature strong coupling expansions for the SU(N) Hubbard Model in powers of $\beta t$, $w=\exp{(-\beta U)}$ and ${1\over \beta U}$ for arbitrary filling. The expansions are done in the grand canonical ensemble and are…

Strongly Correlated Electrons · Physics 2022-08-04 Rajiv R. P. Singh , Jaan Oitmaa