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We study the thermodynamic properties of solid and metal electrons in the nonextensive quantum statistics with a nonextensive parameter transformation. First we study the nonextensive grand canonical distribution function and the…

Statistical Mechanics · Physics 2020-02-11 Yahui Zheng , Jiulin Du

We examine the weakly interacting atoms in an ultracold Fermi gas leading to a state of macroscopic coherence, from a theoretical perspective. It has been shown that this state can be described as a fermionic coherent state. These coherent…

Quantum Physics · Physics 2013-04-05 Arnab Ghosh , Sudarson Sekhar Sinha , Deb Shankar Ray

We study the sympathetic cooling of a trapped Fermi gas interacting with an ideal Bose gas below the critical temperature of the Bose-Einstein condensation. We derive the quantum master equation, which describes the dynamics of the…

Soft Condensed Matter · Physics 2009-11-11 Z. Idziaszek , L. Santos , M. Lewenstein

The statistical mechanical description of small systems staying in thermal equilibrium with an environment can be achieved by means of the Hamiltonian of mean force. In contrast to the reduced density matrix of an open quantum system, or…

Statistical Mechanics · Physics 2020-10-28 Peter Talkner , Peter Hänggi

The compressibility, zero sound dispersion, and effective mass of a gas of fermionic dipolar molecules is calculated at finite temperature for one-, two-, and three-dimensional uniform systems, and in a multilayer quasi-two-dimensional…

Quantum Physics · Physics 2010-09-15 J. P. Kestner , S. Das Sarma

We calculate the specific heat of the ideal gas obeying the generalized exclusion statistics (GES) in the continuum model and the tight binding model numerically. In the continuum model of 3-d space, the specific heat increases with…

Statistical Mechanics · Physics 2015-06-24 Takahiro Aoyama

We study the behaviour of an ideal non-relativistic Bose gas in a three-dimensional space where one of the dimensions is compactified to form a circle. In this case there is no phase transition like that for the case of an infinite volume,…

Statistical Mechanics · Physics 2009-11-11 David J. Toms

On the basis of a macroscopic ground state population it was argued recently that Bose-Einstein condensation should occur in a one-dimensional harmonic potential. We examine this situation by drawing analogies to Bosons in a two-dimensional…

Statistical Mechanics · Physics 2009-10-25 Gert-Ludwig Ingold , Astrid Lambrecht

We study thermodynamic of strange quark matter (SQM) using the analytic expressions of free and internal energies. We investigate two regimes of the high density and low density separately. As a vital program, in the case of a massless…

General Relativity and Quantum Cosmology · Physics 2014-12-23 H. Gholizade , A. Altaibayeva , R. Myrzakulov

We examine the thermodynamic characteristics of unified quantum statistics as a novel framework that undergoes a crossover between Bose-Einstein and Fermi-Dirac statistics by varying a generalization parameter $\delta$. We find an…

Statistical Mechanics · Physics 2023-10-26 Habib Esmaili , Hosein Mohammadzadeh , Mehdi Biderang , Morteza Nattagh Najafi

We investigate the behavior of a dilute quasi two-dimensional, harmonically confined, weakly interacting Bose gas within the finite-temperature Thomas-Fermi approximation. We find that the thermodynamic properties of the system are markedly…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Brandon P. van Zyl , R. K. Bhaduri , Justin Sigetich

Bose-Einstein condensation (BEC) of a noninteracting Bose gas of N particles in a two-dimensional box with Dirichlet boundary conditions is studied. Confirming previous work, we find that BEC occurs at finite N at low temperatures T without…

Statistical Mechanics · Physics 2015-12-08 Heqiu Li , Qiujiang Guo , Ji Jiang , D. C. Johnston

We develop a numerical method to study the dynamics of a two-component atomic Fermi gas trapped inside a harmonic potential at temperature T well below the Fermi temperature Tf. We examine the transition from the collisionless to the…

Statistical Mechanics · Physics 2009-11-07 F. Toschi , P. Vignolo , S. Succi , M. P. Tosi

It is mentioned that anyon thermodynamic potential $Q(\alpha, N)$ could not be factorized in terms characteristic of the ideal boson $\alpha =0$ and fermion $\alpha =1$ gases by the relation $Q(\alpha, N) = (1-\alpha) Q(0, N_b)+ \alpha Q(1,…

Statistical Mechanics · Physics 2008-11-26 Wung-Hong Huang

We investigate the thermodynamics of a Bose gas interacting with repulsive forces and confined in a harmonic trap. We show that the relevant parameters of the system (temperature, number N of atoms, harmonic oscillator length, deformation…

Condensed Matter · Physics 2009-10-28 S. Giorgini , L. Pitaevskii , S. Stringari

The thermodynamic consistency of quasiparticle boson system with effective mass $m^*$ and zero chemical potential is studied. We take the quasiparticle gluon plasma model as a toy model. The failure of previous treatments based on…

Nuclear Theory · Physics 2014-11-18 Shaoyu Yin , Ru-Keng Su

In this work we examine the breathing mode of a strongly interacting two-dimensional Fermi gas and the role of temperature on the anomalous breaking of scale invariance. By calculating the equation of state with different many-body…

Quantum Gases · Physics 2018-05-23 Brendan C. Mulkerin , Xia-Ji Liu , Hui Hu

Interacting fermions are ubiquitous in nature and understanding their thermodynamics is an important problem. We measure the equation of state of a two-component ultracold Fermi gas for a wide range of interaction strengths at low…

Quantum Gases · Physics 2010-06-03 Nir Navon , Sylvain Nascimbène , Frédéric Chevy , Christophe Salomon

The quantum corrections related to the ideal gas model that are often considered are those which are related to the particles nature: bosons or fermions. These corrections lead respectively to the Bose-Einstein and Fermi-Dirac statistics.…

Accurate temperature estimation in the quantum and cryogenic regimes remains a fundamental challenge. Here, we investigate nonequilibrium quantum thermometry using a single-qubit probe coupled to a bosonic bath through noncommuting…

Quantum Physics · Physics 2025-12-23 Youssef Aiache , Abderrahim El Allati , İlkay Demir , Khadija El Anouz