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The microscopic mechanism of thermal dissipation in quantum turbulence has been numerically studied by solving the coupled system involving the Gross-Pitaevskii equation and the Bogoliubov-de Gennes equation. At low temperatures, the…

Disordered Systems and Neural Networks · Physics 2009-11-11 Michikazu Kobayashi , Makoto Tsubota

We show that energy dissipation in slowly-driven, Markovian quantum systems at low temperature is linked to the geometry of the driving protocol through the quantum (or Fubini-Study) metric. Utilizing these findings, we establish lower…

Quantum Physics · Physics 2025-03-21 Iliya Esin , Étienne Lantagne-Hurtubise , Frederik Nathan , Gil Refael

We study the distribution of the Schmidt coefficients of the reduced density matrix of a quantum system in a pure state. By applying general methods of statistical mechanics, we introduce a fictitious temperature and a partition function…

Quantum Physics · Physics 2010-07-05 A. De Pasquale , P. Facchi , G. Parisi , S. Pascazio , A. Scardicchio

Turbulent relative dispersion is studied theoretically with a focus on the evolution of probability distribution of the relative separation of two passive particles. A finite separation speed and a finite correlation of relative velocity,…

Chaotic Dynamics · Physics 2007-05-23 Takeshi Ogasawara , Sadayoshi Toh

Diffusion in a multidimensional energy surface with minima and barriers is a problem of importance in statistical mechanics and also has wide applications, such as protein folding. To understand it in such a system, we carry out theory and…

Statistical Mechanics · Physics 2022-06-29 Subhajit Acharya , Biman Bagchi

We consider a one-dimensional gas of hard point particles in a finite box that are in thermal equilibrium and evolving under Hamiltonian dynamics. Tagged particle correlation functions of the middle particle are studied. For the special…

Statistical Mechanics · Physics 2015-06-11 Anjan Roy , Onuttom Narayan , Abhishek Dhar , Sanjib Sabhapandit

We extend on ideas from standard thermodynamics to show that temperature can be assigned to a general nonequilibrium quantum system. By choosing a physically motivated complete set of observables and expanding the system state thereupon,…

Quantum Physics · Physics 2021-05-26 S. Alipour , F. Benatti , M. Afsary , F. Bakhshinezhad , M. Ramezani , T. Ala-Nissila , A. T. Rezakhani

The one-dimensional coagulation-diffusion process describes the strongly fluctuating dynamics of particles, freely hopping between the nearest-neighbour sites of a chain such that one of them disappears with probability 1 if two particles…

Statistical Mechanics · Physics 2016-02-23 Xavier Durang , Jean-Yves Fortin , Malte Henkel

A small momentum transfer to a particle interacting with a steep potential barrier gives rise to a quantum evaporation effect which increases the transmission appreciably. This effect results from the unexpectedly large population of…

Quantum Physics · Physics 2009-11-07 D. Boose , F. Bardou

We construct and explore a family of states for quantum systems in contact with two or more heath reservoirs. The reservoirs are described by equilibrium distributions. The interaction of each reservoir with the bulk of the system is…

Statistical Mechanics · Physics 2022-05-03 Mihail Mintchev

The steady state velocity fluctuations of a movable piston located on the top of a vibrated granular gas are studied by means of molecular dynamics simulations. From the second moment of the distribution, a temperature parameter for the…

Statistical Mechanics · Physics 2009-11-13 J. Javier Brey , M. J. Ruiz-Montero

For the system with inhomogeneous distribution of macroscopic parameters we obtain thermodynamic relation which depends on the spatial point (coordinate). In our approach, to obtain such a relation we use the basic ideas of the method of…

Statistical Mechanics · Physics 2025-09-24 A. P. Rebesh , B. I. Lev , A. G. Zagorodny

The change in the angular momentum of an atomic cluster following evaporation is investigated using rigorous phase space theory and molecular dynamics simulations, with an aim at the possible rotational cooling and heating effects.…

Statistical Mechanics · Physics 2009-11-10 P. Parneix , F. Calvo

We establish quantum thermodynamics for open quantum systems weakly coupled to their reservoirs when the system exhibits degeneracies. The first and second law of thermodynamics are derived, as well as a finite-time fluctuation theorem for…

Statistical Mechanics · Physics 2017-03-08 Gregory Bulnes Cuetara , Massimiliano Esposito , Gernot Schaller

The dynamic properties of fluid, including density, surface tension, diffusivity and viscosity, are temperature-dependent and can significantly influence the flow dynamics of mesoscopic non-isothermal systems. To capture the correct…

Computational Physics · Physics 2020-07-21 Kaixuan Zhang , Jie Li , Shuo Chen , Yang Liu

We propose the non-relativistic finite temperature quantum wave equations for a single particle and multiple particles. We give the relation between energy eigenvalues, eigenfunctions, transition frequency and temperature, and obtain some…

Quantum Physics · Physics 2015-06-12 Xiang-Yao Wu , Bo-Jun Zhang , Xiao-Jing Liu , Si-Qi Zhang , Jing Wang , Hong Li , Nou Ba , Li Xiao , Yi-Heng Wu

We present a microscopic open quantum systems theory of thermally-damped vortex motion in oblate atomic superfluids that includes previously neglected energy-damping interactions between superfluid and thermal atoms. This mechanism couples…

Quantum Gases · Physics 2023-04-20 Zain Mehdi , Joseph J. Hope , Stuart S. Szigeti , Ashton S. Bradley

The new scheme employed (throughout the thermodynamic phase space), in the statistical thermodynamic investigation of classical systems, is extended to quantum systems. Quantum Nearest Neighbor Probability Density Functions are formulated…

Statistical Mechanics · Physics 2015-06-25 U. F. Edgal , D. L. Huber

Quantum systems unfold diversified correlations which have no classical counterparts. These quantum correlations have various different facets. Quantum entanglement, as the most well known measure of quantum correlations, plays essential…

A model in which a projectile like fragment can be simply regarded as a remnant after removal of some part of the projectile leads to an excited fragment. This excitation energy can be calculated with a Hamiltonian that gives correct…

Nuclear Theory · Physics 2015-06-15 S. Das Gupta , S. Mallik , G. Chaudhuri