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The subtle interplay between quantum statistics and interactions is at the origin of many intriguing quantum phenomena connected to superfluidity and quantum magnetism. The controlled setting of ultracold quantum gases is well suited to…

We investigate the thermodynamic behavior of open quantum systems through the Hamiltonian of Mean Force, focusing on two models: a two-qubit system interacting with a thermal bath and a Jaynes-Cummings Model without the rotating wave…

Quantum Physics · Physics 2025-09-03 Neha Pathania , Devvrat Tiwari , Subhashish Banerjee

The $q$-deformed statistics for fermions arising within the non-extensive thermostatistical formalism has been applied to the study of various quantum many-body systems recently. The aim of the present note is to point out some subtle…

Statistical Mechanics · Physics 2014-11-21 J. M. Conroy , H. G. Miller , A. R. Plastino

The fluctuations of spacetime geometries at finite temperature are evaluated within the linearized theory of gravity. These fluctuations are described by the probability distribution of various configurations of the gravitational field. The…

General Relativity and Quantum Cosmology · Physics 2015-10-13 Iwo Bialynicki-Birula

The thermodynamic properties of quantum heat engines are stochastic owing to the presence of thermal and quantum fluctuations. We here experimentally investigate the efficiency and nonequilibrium entropy production statistics of a spin-1/2…

Quantum Physics · Physics 2021-04-29 Tobias Denzler , Jonas F. G. Santos , Eric Lutz , Roberto Serra

We discuss the quantum statistical fluctuations of energy in subsystems of hot relativistic gas for both spin-zero and spin half particles. We explicitly show the system size dependence of the quantum statistical fluctuation of energy. Our…

Nuclear Theory · Physics 2022-06-15 Arpan Das

The standard approach to deriving fluctuation theorems fails to capture the effect of quantum correlation and coherence in the initial state of the system. Here we overcome this difficulty and derive heat exchange fluctuation theorem in the…

Quantum Physics · Physics 2020-09-30 Amikam Levy , Matteo Lostaglio

We present a general method to undertake a thorough analysis of the thermodynamics of the quantum jump trajectories followed by an arbitrary quantum harmonic network undergoing linear and bilinear dynamics. The approach is based on the…

Quantum Physics · Physics 2016-01-12 Simon Pigeon , Lorenzo Fusco , André Xuereb , Gabriele De Chiara , Mauro Paternostro

We formulate a method for incorporating quantum fluctuations into molecular- dynamics simulations of many-body systems, such as those employed for energetic nuclear collision processes. Based on Fermi's Golden Rule, we allow spontaneous…

Nuclear Theory · Physics 2009-10-28 Akira Ohnishi , Jorgen Randrup

We establish an analytical criterion for dynamical thermalization within harmonic systems, applicable to both classical and quantum models. Specifically, we prove that thermalization of various observables, such as particle energies in…

Statistical Mechanics · Physics 2025-07-29 Marco Cattaneo , Marco Baldovin , Dario Lucente , Paolo Muratore-Ginanneschi , Angelo Vulpiani

Selfsimilar space-time fractal fluctuations are generic to dynamical systems in nature such as atmospheric flows, heartbeat patterns, population dynamics, etc. The physics of the long-range correlations intrinsic to fractal fluctuations is…

General Physics · Physics 2010-12-02 A. M. Selvam

Universality of classical thermodynamics rests on the central limit theorem, due to which, measurements of thermal fluctuations are unable to reveal detailed information regarding the microscopic structure of a macroscopic body. When small…

Quantum Physics · Physics 2024-02-28 Lucas Chibebe Céleri , Łukasz Rudnicki

Statistical thermodynamics delivers the probability distribution of the equilibrium state of matter through the constrained maximization of a special functional, entropy. Its elegance and enormous success have led to numerous attempts to…

Statistical Mechanics · Physics 2023-06-22 Themis Matsoukas

I present a theoretical model of a quantum statistical ensemble for which, unlike in conventional physics, the total number of particles is extremely small. The thermodynamical quantities are calculated by taking a small $N$ by virtue of…

Quantum Physics · Physics 2010-01-15 Enrico Prati

In the thermodynamics of nanoscopic systems the relation between classical and quantum mechanical description is of particular importance. To scrutinize this correspondence we study an anharmonic oscillator driven by a periodic external…

Statistical Mechanics · Physics 2020-08-26 Mattes Heerwagen , Andreas Engel

Descriptions of molecular systems usually refer to two distinct theoretical frameworks. On the one hand the quantum pure state, i.e. the wavefunction, of an isolated system which is determined to calculate molecular properties and to…

Statistical Mechanics · Physics 2011-03-17 Barbara Fresch , Giorgio J. Moro

Based on the semi-classical theory, we investigate the thermodynamic properties of a dipolar Fermi gas. Through a self-consistent procedure, we numerically obtain the phase space distribution function at finite temperature. We show that the…

Quantum Gases · Physics 2010-04-20 J. -N. Zhang , S. Yi

Explicit expressions for quantum fluctuations of energy in subsystems of a hot relativistic gas of spin-$1/2$ particles are derived. The results depend on the form of the energy-momentum tensor used in the calculations, which is a feature…

Nuclear Theory · Physics 2021-05-26 Arpan Das , Wojciech Florkowski , Radoslaw Ryblewski , Rajeev Singh

The theory of mesoscopic fluctuations is applied to inhomogeneous solids consisting of chaotically distributed regions with different crystalline structure. This approach makes it possible to describe statistical properties of such mixture…

Statistical Mechanics · Physics 2015-06-25 V. I. Yukalov

We have analytically explored thermodynamics of free Bose and Fermi gases for the entire range of temperature, and have extended the same for harmonically trapped cases. We have obtained approximate chemical potentials of the quantum gases…

Quantum Gases · Physics 2012-09-07 Shyamal Biswas , Debnarayan Jana
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