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This article presents an elementary introduction on various aspects of the prototypical integrable model the Lieb-Liniger Bose gas ranging from the cooperative to the collective features of many-body phenomena [1]. In 1963 Lieb and Liniger…

Quantum Gases · Physics 2015-06-04 Y. -Z. Jiang , Y. -Y. Chen , X. -W. Guan

The emergence of statistical mechanics from quantum dynamics is a central problem in quantum many-body physics. Deriving observables aligned with the prediction of the canonical ensemble for a quantum system relies on the presence of a bath…

Statistical Mechanics · Physics 2026-01-05 Nikolay V. Gnezdilov , Andrei I. Pavlov

We show that the generating functions of avalanche observables in SOC models exhibits a Lee-Yang phenomenon. This establishes a new link between the classical theory of critical phenomena and SOC. A scaling theory of the Lee-Yang zeroes is…

Statistical Mechanics · Physics 2009-11-07 B. Cessac , J. L. Meunier

We calculate the Yang-Lee zeros for characteristic temperatures of the helix-coil transition in a continuum model of polyalanine. The distribution of these zeros differs from predictions of the Zimm-Bragg theory and supports recent claims…

Statistical Mechanics · Physics 2009-10-31 Nelson A. Alves , Ulrich H. E. Hansmann

We use an external spin as a dynamical probe of many body localization. The probe spin is coupled to an interacting and disordered environment described by a Heisenberg spin chain in a random field. The spin-chain environment can be tuned…

Disordered Systems and Neural Networks · Physics 2016-11-30 Evert P. L. van Nieuwenburg , Sebastian D. Huber , R. Chitra

We show that the zeroth principle of thermodynamics applies to aging quasistationary states of long-range interacting $N$-body Hamiltonian systems. We also discuss the measurability of the temperature in these out-of-equilibrium states…

Statistical Mechanics · Physics 2007-05-23 Luis G. Moyano , Fulvio Baldovin , Constantino Tsallis

Lee-Yang zero theory plays a crucial role in phase transition theory and is widely employed in the critical behavior of statistical thermodynamics. The supercritical regime of black hole thermodynamics remains a relatively unexplored area,…

High Energy Physics - Theory · Physics 2025-11-14 Zhi-Yuan Li , Xuan-Rui Chen , Bin Wu , Zhen-Ming Xu

Local temperature defined by a local canonical state of the respective subsystem, does not always exist in quantum many body systems. Here, we give some examples of how this breakdown of the temperature concept on small length scales might…

Statistical Mechanics · Physics 2009-11-10 Michael Hartmann , Guenther Mahler

This contribution is devoted to cover some technical aspects related to the use of the recently proposed energy probability distribution zeros in the study of phase transitions. This method is based on the partial knowledge of the partition…

Statistical Mechanics · Physics 2017-12-13 L A S Mól , R G M Rodrigues , R A Stancioli , J C S Rocha , B V Costa

Gauge theory and thermalization are both foundations of physics and nowadays are both topics of essential importance for modern quantum science and technology. Simulating lattice gauge theories (LGTs) realized recently with ultracold atoms…

A microscopic understanding of the thermodynamic entropy in quantum systems has been a mystery ever since the invention of quantum mechanics. In classical physics, this entropy is believed to be the logarithm of the volume of phase space…

Quantum Physics · Physics 2013-05-08 J. M. Deutsch , Haibin Li , Auditya Sharma

By performing Monte Carlo simulations of the three-dimensional Ising model, we apply the recently proposed Lee-Yang-zero ratio (LYZR) method to determine the location of the critical point in this model. We demonstrate that the LYZR method…

Statistical Mechanics · Physics 2026-01-26 Tatsuya Wada , Masakiyo Kitazawa , Kazuyuki Kanaya

We extend the circle theorem on the zeros of the partition function to a continuum system. We also calculate the exact zeros of the partition function for a finite system where the probability distribution for the order parameter is given…

Condensed Matter · Physics 2007-05-23 Koo-Chul Lee

The Loschmidt echo - the probability of a quantum many-body system to return to its initial state following a dynamical evolution - generally contains key information about a quantum system, relevant across various scientific fields…

Low-temperature expansion of Ising model has long been a topic of significant interest in condensed matter and statistical physics. In this paper we present new results of the coefficients in the low-temperature series of the Ising…

Statistical Mechanics · Physics 2025-10-16 De-Zhang Li , Xin Wang , Xiao-Bao Yang

The computation of the thermodynamic properties of nuclear matter is a central task of theoretical nuclear physics. The nuclear equation of state is an essential quantity in nuclear astrophysics and governs the properties of neutron stars…

Nuclear Theory · Physics 2017-10-31 Corbinian Wellenhofer

We have developed a theoretical formalism to introduce temperature as a parameter into the framework of non-relativistic quantum mechanics using the laws of classical thermodynamics and the canonical ensemble scheme of statistical…

Quantum Physics · Physics 2021-03-08 Ashkan Shekaari , Mahmoud Jafari

We consider the zeros of the partition function of the Ising model with ferromagnetic pair interactions and complex external field. Under the assumption that the graph with strictly positive interactions is connected, we vary the…

Mathematical Physics · Physics 2023-02-08 Qi Hou , Jianping Jiang , Charles M. Newman

We study two small quantum systems coupled to the same reservoir which is in thermal equilibrium. By studying the particle density and the energy density in the two systems before and after they contact each other, we find that the two…

Statistical Mechanics · Physics 2012-10-12 Pei Wang

The quantum dynamics of a two-level system coupled to an Ohmic spin- bath is studied by means of the perturbation approach based on a unitary transformation. A scattering function $\xi_k$ is introduced in the transformation to take into…

Quantum Physics · Physics 2015-05-27 Zhiguo Lü , H. Zheng
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