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Understanding the thermalization process in a pure quantum system is a challenge in theoretical physics. In this work, we explore possible thermalization mechanism in Yang-Mills(YM) theory by using a positive semi-definite quantum…

High Energy Physics - Phenomenology · Physics 2015-11-13 Hidekazu Tsukiji , Hideaki Iida , Teiji Kunihiro , Akira Ohnishi , Toru T. Takahashi

We investigate the possible thermalization process of the highly occupied and weakly coupled Yang-Mills fields expanding along the beam axis through an evaluation of the entropy, particle number, and pressure anisotropy. The time evolution…

High Energy Physics - Phenomenology · Physics 2022-06-08 Hidefumi Matsuda , Teiji Kunihiro , Akira Ohnishi , Toru T. Takahashi

We investigate thermalization process in relativistic heavy ion collisions in terms of the Husimi-Wehrl (HW) entropy defined with the Husimi function, a quantum distribution function in a phase space. We calculate the semiclassical time…

High Energy Physics - Phenomenology · Physics 2019-12-06 Hidekazu Tsukiji , Teiji Kunihiro , Akira Ohnishi , Toru T. Takahashi

We discuss thermalization of isolated quantum systems by using the Husimi-Wehrl entropy evaluated in the semiclassical treatment. The Husimi-Wehrl entropy is the Wehrl entropy obtained by using the Husimi function for the phase space…

High Energy Physics - Phenomenology · Physics 2015-12-29 Hidekazu Tsukiji , Hideaki Iida , Teiji Kunihiro , Akira Ohnishi , Toru T. Takahashi

The Husimi distribution provides for a coarse grained representation of the phase space distribution of a quantum system, which may be used to track the growth of entropy of the system. We present a general and systematic method of solving…

Nuclear Theory · Physics 2018-05-16 Hung-Ming Tsai , Berndt Müller

We propose a broadly applicable formalism for the description of coarse grained entropy production in quantum mechanical processes. Our formalism is based on the Husimi transform of the quantum state, which encodes the notion that…

High Energy Physics - Phenomenology · Physics 2010-04-21 Teiji Kunihiro , Berndt Muller , Akira Ohnishi , Andreas Schafer

We study the thermalization process in classical Yang-Mills (CYM) field theory starting from noisy glasma-like initial conditions by investigating the initial-value sensitivity of trajectories. Kunihiro et al. linked entropy generation to…

High Energy Physics - Phenomenology · Physics 2013-11-20 Hideaki Iida , Teiji Kunihiro , Berndt Mueller , Akira Ohnishi , Andreas Schaefer , Toru T. Takahashi

Husimi function (Q-function) of a quantum state is the distribution function of the density operator in the coherent state representation. It is widely used in theoretical research, such as in quantum optics. The Wehrl entropy is the…

Quantum Physics · Physics 2025-07-14 Chen Xu , Yiqi Yu , Peng Zhang

We are concerned with an information-theoretic measure of uncertainty for quantum systems. Precisely, the Wehrl entropy of the phase-space probability $Q^{(m)}_{\hat{\rho}}=\left\langle z,m|\hat{\rho}|z,m\right\rangle $ which is known as…

Mathematical Physics · Physics 2018-07-10 Z. Mouayn , H. Kassogue , P. Kayupe Kikodio , I. F. Fatani

We study the entropy production of Gibbs (equilibrium) measures for chaotic dynamical systems with folding of the phase space. The dynamical chaotic model is that generated by a hyperbolic non-invertible map $f$ on a general basic (possibly…

Dynamical Systems · Mathematics 2011-04-14 Eugen Mihailescu

We propose the second moment of the Husimi distribution as a measure of complexity of quantum states. The inverse of this quantity represents the effective volume in phase space occupied by the Husimi distribution, and has a good…

Chaotic Dynamics · Physics 2009-11-07 Ayumu Sugita , Hirokazu Aiba

The Husimi distribution is proposed for a phase space analysis of quantum phase transitions in the two-dimensional $U(3)$ vibron model for $N$-size molecules. We show that the inverse participation ratio and Wehrl's entropy of the Husimi…

Quantum Physics · Physics 2014-09-22 M. Calixto , R. del Real , E. Romera

When a quantum system is coupled to several heat baths at different temperatures, it eventually reaches a non-equilibrium steady state featuring stationary internal heat currents. These currents imply that entropy is continually being…

We use phase space distributions specifically, the Wigner distribution (WD) and Husimi distribution (HD) to investigate certain information-theoretic measures as descriptors for a given system. We extensively investigate and analyze…

We derive the expression for the entropy production for stochastic dynamics defined on a continuous space of states containing unidirectional transitions. The expression is derived by taking the continuous limit of a stochastic dynamics on…

Statistical Mechanics · Physics 2024-09-05 Mário J. de Oliveira

The quantum fluctuations of the entropy production for fermionic systems in the Landauer-Buttiker non-equilibrium steady state are investigated. The probability distribution, governing these fluctuations, is explicitly derived by means of…

Statistical Mechanics · Physics 2017-11-22 Mihail Mintchev , Luca Santoni , Paul Sorba

Employing the stochastic wave function method, we study quantum features of stochastic entropy production in nonequilibrium processes of open systems. It is demonstarted that continuous measurements on the environment introduce an…

Quantum Physics · Physics 2013-10-16 B. Leggio , A. Napoli , A. Messina , H. -P. Breuer

We study nonequilibrium thermodynamic properties of a driven one-dimensional quantum fluid by combining nonlinear Luttinger liquid theory with the quantum kinetic equation. In particular, we derive an entropy production consistent with the…

Mesoscale and Nanoscale Physics · Physics 2019-10-09 Edvin G. Idrisov , Thomas L. Schmidt

Recent studies have shown that hadronic multiplicity in deep inelastic scattering can be associated with entanglement entropy. However, such definitions are intrinsically longitudinal and do not capture the full phase-space structure of the…

High Energy Physics - Phenomenology · Physics 2026-05-28 Gabriel Rabelo-Soares , Reinaldo Francener , Gabriel S. Ramos , Giorgio Torrieri

Entropy production quantifies the breaking of time-reversal symmetry in non-equilibrium systems. Here, we develop a direct method to obtain closed, tractable expressions for entropy production in a broad class of dynamical density…

Statistical Mechanics · Physics 2026-02-03 Antonin Brossollet , Giulio Biroli
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