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Related papers: Thermalization in the one-dimensional Salerno mode…

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A detailed study of the thermodynamics of the O(N=3) model in 1+1 dimensions is presented, employing a two-particle-irreducible resummation prescription as well as fully nonperturbative finite-temperature lattice simulations. The analytical…

High Energy Physics - Phenomenology · Physics 2013-07-09 Elina Seel , Dominik Smith , Stefano Lottini , Francesco Giacosa

We provide evidence of an extremely slow thermalization occurring in the Discrete NonLinear Schr\"odinger (DNLS) model. At variance with many similar processes encountered in statistical mechanics - typically ascribed to the presence of…

Statistical Mechanics · Physics 2019-03-04 Stefano Iubini , Liviu Chirondojan , Gian-Luca Oppo , Antonio Politi , Paolo Politi

We investigate the phase diagram of the Haldane-Falicov-Kimball model -- a model combining topology, interactions and spontaneous disorder at finite temperatures. Using an unbiased numerical method, we map out the phase diagram on the…

Strongly Correlated Electrons · Physics 2019-04-03 Miguel Gonçalves , Pedro Ribeiro , Rubem Mondaini , Eduardo V. Castro

The thermodynamics of the O(N) model in 1+1 dimensions is studied applying the CJT formalism and the auxiliary field method as well as fully nonperturbative finite temperature lattice simulations. The numerical results for the renormalized…

High Energy Physics - Phenomenology · Physics 2012-10-18 Elina Seel , Dominik Smith , Stefano Lottini , Francesco Giacosa

We prove that nonlinear Gibbs measures can be obtained from the corresponding many-body, grand-canonical, quantum Gibbs states, in a mean-field limit where the temperature T diverges and the interaction behaves as 1/T. We proceed by…

Mathematical Physics · Physics 2015-05-22 Mathieu Lewin , Phan Thành Nam , Nicolas Rougerie

The Ising one-dimensional (1D) chain with spin $S=1/2$ and magnetoelastic interactions is studied with the lattice contribution included in the form of elastic interaction and thermal vibrations simultaneously taken into account. The…

Statistical Mechanics · Physics 2020-04-08 T. Balcerzak , K. Szałowski , M. Jaščur

This paper considers a non-standard problem of generating samples from a low-temperature Gibbs distribution with \emph{constrained} support, when some of the coordinates of the mode lie on the boundary. These coordinates are referred to as…

Statistics Theory · Mathematics 2026-02-27 Ruixiao Wang , Xiaohong Chen , Sinho Chewi

We study the prethermalization and thermalization dynamics of local observables in weakly perturbed nonintegrable systems, with Hamiltonians of the form $\hat{H}_0+g\hat{V}$, where $\hat{H}_0$ is nonintegrable and $g\hat{V}$ is a…

Statistical Mechanics · Physics 2021-11-19 Krishnanand Mallayya , Marcos Rigol

Equilibrium states of infinite extended lattice systems at high temperature are studied with respect to their entanglement. Two notions of separability are offered. They coincide for finite systems but differ for infinitely extended ones.…

Quantum Physics · Physics 2009-11-10 H. Narnhofer

The grand partition function of a model of confined quarks is exactly calculated at arbitrary temperatures and quark chemical potentials. The model is inspired by a softly BRST-broken version of QCD and possesses a quark mass function…

High Energy Physics - Phenomenology · Physics 2015-10-28 M. S. Guimaraes , B. W. Mintz , L. F. Palhares

The model of RH neutrino fields coupled to the MSSM is shown to yield a large parameter regime of warm inflation. In the strong dissipative regime, it is shown that inflation, driven by a single sneutrino field, occurs with {\it all field…

High Energy Physics - Phenomenology · Physics 2011-08-17 Mar Bastero-Gil , Arjun Berera

Diamond "lattices" are sequences of recursively-defined graphs that provide a network of directed pathways between two fixed root nodes, $A$ and $B$. The construction recipe for diamond graphs depends on a branching number $b\in \mathbb{N}$…

Probability · Mathematics 2017-09-06 Jeremy Clark

We investigate the thermalization dynamics of 1D systems with local constraints coupled to an infinite temperature bath at one boundary. The coupling to the bath eventually erases the effects of the constraints, causing the system to tend…

Quantum Physics · Physics 2025-01-24 Cheng Wang , Shankar Balasubramanian , Yiqiu Han , Ethan Lake , Xiao Chen , Zhi-Cheng Yang

The interplay of fluctuations, ergodicity, and disorder in many-body interacting systems has been striking attention for half a century, pivoted on two celebrated phenomena: Anderson localization predicted in disordered media, and…

Statistical Mechanics · Physics 2021-09-16 Yagmur Kati

We study the thermal conductivity of the one-dimensional Fermi-Hubbard model at finite temperature using a density matrix renormalization group approach. The integrability of this model gives rise to ballistic thermal transport. We…

Strongly Correlated Electrons · Physics 2016-09-14 C. Karrasch , D. M. Kennes , F. Heidrich-Meisner

We construct a collision model description of the thermalization of a finite many-body system by using careful derivation of the corresponding Lindblad-type master equation in the weak coupling regime. Using the example of two level target…

Quantum Physics · Physics 2019-12-20 Onat Arısoy , Steve Campbell , Özgür E. Müstecaplıoğlu

Thermalization is the process through which a physical system evolves toward a state of thermal equilibrium. Determining whether or not a physical system will thermalize from an initial state has been a key question in condensed matter…

Quantum Physics · Physics 2026-01-05 Dhruv Devulapalli , T. C. Mooney , James D. Watson

We discuss the thermodynamics of the O(N) nonlinear sigma model in 1+1 dimensions. In particular we investigate the NLO 1/N correction to the 1PI finite temperature effective potential expressed in terms of an auxiliary field. The effective…

High Energy Physics - Phenomenology · Physics 2017-08-23 Harmen J. Warringa

Universal aspects of thermalization in interacting many-body systems are challenging to derive microscopically, especially in kinetically constrained models, yet their numerical study beyond $(1+1)$D remains notoriously difficult. Here, we…

Quantum Physics · Physics 2026-03-17 Lukas Homeier , Andrea Pizzi , Hongzheng Zhao , Jad C. Halimeh , Fabian Grusdt , Ana Maria Rey

In this paper we study thermalization in a strongly coupled system via AdS/CFT. Initially, the energy is injected into the system by turning on a spatially homogenous scalar source coupled to a marginal composite operator. The…

High Energy Physics - Theory · Physics 2012-10-26 Bin Wu