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We present an accurate computation of the Equation of State of the SU(3) Yang-Mills theory using shifted boundary conditions in the temporal direction. In this framework, the entropy density s can be obtained in a simple way from the…

High Energy Physics - Lattice · Physics 2015-11-13 Leonardo Giusti , Michele Pepe

We investigate the thermal properties of $\mathrm{SU}(3)$ Yang-Mills theory across the deconfinement phase transition considering the framework of shifted boundary conditions in the temporal direction. By measuring the entropy density…

High Energy Physics - Lattice · Physics 2025-02-07 Leonardo Giusti , Mitsuaki Hirasawa , Michele Pepe , Luca Virzì

In an isolated quantum many-body system undergoing unitary evolution, the entropy of a subsystem (smaller than half the system size) thermalizes if at long times, it is to leading order equal to the thermodynamic entropy of the subsystem at…

Statistical Mechanics · Physics 2025-06-02 Yichen Huang , Aram W. Harrow

The first order formalism for 3D Yang-Mills theory is considered and two different formulations are introduced, in which the gauge theory appears to be a deformation of the topological BF theory. We perform the quantization and the…

High Energy Physics - Theory · Physics 2014-11-18 Alberto Accardi , Andrea Belli , Maurizio Martellini , Mauro Zeni

We study the thermodynamics of large N pure 2+1 dimensional Yang-Mills theory on a small spatial sphere. By studying the effective action for the Polyakov loop order parameter, we show analytically that the theory has a second order…

High Energy Physics - Theory · Physics 2010-10-27 Kyriakos Papadodimas , Hsien-Hang Shieh , Mark Van Raamsdonk

It is usually expected and observed that non-integrable isolated quantum systems thermalize. However, for some non-integrable spin chain models, in a numerical study, initial states with oscillations that persisted for some time were found…

Quantum Physics · Physics 2024-09-10 Luis Fernando dos Prazeres , Thiago R. de Oliveira

The process of thermalization in many-body systems is driven by complex interactions among sub-systems and with the surrounding environment. Here we lay the theoretical foundations for the active control of local thermal states in arbitrary…

Mesoscale and Nanoscale Physics · Physics 2022-12-27 Philippe Ben-Abdallah , Alejandro W. Rodriguez

Recently lattice simulation in pure Yang-Mills theory exposes significant quadratic corrections for both the thermodynamic quantities and the renormalized Polyakov loop in the deconfined phase. These terms are previously found to appear…

High Energy Physics - Theory · Physics 2015-05-11 Fen Zuo , Yi-Hong Gao

The early thermalization puzzle arises from the unexpectedly early applicability of hydrodynamics in heavy-ion collisions. While hydrodynamics has traditionally been associated with the onset of local thermal equilibrium, its derivations --…

High Energy Physics - Phenomenology · Physics 2025-09-30 Xingjian Lu , Shuzhe Shi

We study decoherence, diffusion, friction, and how they thermalize a planar rotor in the presence of an external potential. Representing the quantum master equation in terms of auxiliary Wigner functions in periodic phase space not only…

Quantum Physics · Physics 2025-04-30 Birthe Schrinski , Yoon Jun Chan , Björn Schrinski

The thermalization of an isolated quantum system is described by quantum mechanics and thermodynamics, while these two subjects are still not fully consistent with each other. This leaves a less-explored region where both quantum and…

Quantum Gases · Physics 2024-11-22 Yuqing Wang , Libo Liang , Qinpei Zheng , Qi Huang , Wenlan Chen , Jing Zhang , Xuzong Chen , Jiazhong Hu

Previous calculations of the thermal beta-function in a hot Yang--Mills gas at the one--loop level have exposed problems with the gauge dependence and with the sign, which is opposite to what one would expect for asymptotic freedom. We show…

High Energy Physics - Phenomenology · Physics 2016-08-24 Per Elmfors , Randy Kobes

We investigate the dissipative dynamics of a quantum critical system in contact with a thermal bath. In analogy with the standard protocol employed to analyze aging, we study the response of a system to a sudden change of the bath…

Statistical Mechanics · Physics 2015-05-13 Dario Patanè , Alessandro Silva , Fernando Sols , Luigi Amico

We study the heat statistics of a multi-level $N$-dimensional quantum system monitored by a sequence of projective measurements. The late-time, asymptotic properties of the heat characteristic function are analyzed in the thermodynamic…

Quantum Physics · Physics 2021-09-15 Stefano Gherardini , Guido Giachetti , Stefano Ruffo , Andrea Trombettoni

Equilibrium properties of many-body systems with a large number of degrees of freedom are generally expected to be described by statistical mechanics. Such expectations are closely tied to the observation of thermalization, as manifested…

Quantum Gases · Physics 2025-08-08 Yulong Qiao , Frank Großmann , Peter Schlagheck , Gabriel M. Lando

In two-dimensional Yang-Mills and generalized Yang-Mills theories for large gauge groups, there is a dominant representation determining the thermodynamic limit of the system. This representation is characterized by a density the value of…

High Energy Physics - Theory · Physics 2008-11-26 M. Khorrami , M. Alimohammadi

The application of the eigenstate thermalization hypothesis to non-Hermitian quantum systems has become one of the most important topics in dissipative quantum chaos, recently giving rise to intense debates. The process of thermalization is…

Quantum Physics · Physics 2024-07-18 Yiting Mao , Peigeng Zhong , Haiqing Lin , Xiaoqun Wang , Shijie Hu

A simple variational argument based on the Gaussian Effective Potential (GEP) is put forward to give evidence for mass generation and deconfinement in pure Yang-Mills SU(N) theory. The GEP analysis shows that the massless gaussian vacuum of…

High Energy Physics - Theory · Physics 2018-06-22 Giorgio Comitini

We discuss thermalization of a test particle schematized as a harmonic oscillator and coupled to a Boltzmann heat bath of finite size and with a finite bandwidth for the frequencies of its particles. We find that complete thermalization…

Statistical Mechanics · Physics 2009-11-13 S. Taylor Smith , Roberto Onofrio

We study the thermodynamic behaviour of the real $\beta$- and $\gamma_i$-deformation of $\mathcal{N}=4$ Super Yang-Mills theory on $\mathbb{R}\times S^3$ in the planar limit. These theories were shown to be the most general asymptotically…

High Energy Physics - Theory · Physics 2015-03-27 Jan Fokken , Matthias Wilhelm
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