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Utilizing the recently established connection between Palatini-like gravity and linear Generalized Uncertainty Principle (GUP) models, we have formulated an approach that facilitates the examination of Bose gases. Our primary focus is on…

广义相对论与量子宇宙学 · 物理学 2024-06-14 Aneta Wojnar

We reconsider the thermodynamic derivation by L. Boltzmann of the Stefan law and we generalize it for various different physical systems {\it whose chemical potential vanishes}. Being only based on classical arguments, therefore independent…

量子气体 · 物理学 2018-04-09 Gilles Montambaux

This study explores the link between Modified Gravity and modifications of phase space volume. Analyzing Fermi gas modifications {in the non-relativistic limit of the} Ricci-based gravities, we derive a generalized partition function in the…

广义相对论与量子宇宙学 · 物理学 2024-01-10 Aneta Wojnar

In this work we study the behavior of relativistic ideal Bose and Fermi gases in two space dimensions. Making use of polylogarithm functions we derive a closed and unified expression for their densities. It is shown that both type of gases…

凝聚态物理 · 物理学 2009-10-31 H. Blas , B. M. Pimentel , J. L. Tomazelli

We systematically investigate the effects of quantum gravity on the ground-state properties of dilute homogeneous dipolar Bose gases using the Hartree-Fock-Bogoliubov theory based on the generalized uncertainty principle. We calculate…

广义相对论与量子宇宙学 · 物理学 2025-02-03 Asma Tahar Taiba , Abdelaali Boudjemaa

Using an ultracold gas of atoms, we have realized a quasi-two-dimensional Fermi system with widely tunable s-wave interactions nearly in a ground state. Pressure and density are measured. The experiment covers physically different regimes:…

量子气体 · 物理学 2014-03-26 Vasiliy Makhalov , Kirill Martiyanov , Andrey Turlapov

We show that the recently discovered thermodynamic equivalence between noninteracting Bose and Fermi gases in two dimensions, and between one-dimensional Bose and Fermi systems with linear dispersion, both in the grand-canonical ensemble,…

统计力学 · 物理学 2009-11-10 Kelly R. Patton , Michael R. Geller , Miles P. Blencowe

These notes present simple theoretical approaches to study Bose-Einstein condensation in trapped atomic gases and their comparison to recent experimental results : - the ideal Bose gas model - Fermi pseudopotential to model the atomic…

凝聚态物理 · 物理学 2022-03-23 Yvan Castin

A unified description for the Bose and Fermi gases trapped in an external generic power law potential $U=\sum_{i=1} ^d c_i |\frac{x_i}{a_i}|^{n_i}$ is presented using the grandpotential of the system in $d$ dimensional space. The…

量子气体 · 物理学 2016-04-18 Mir Mehedi Faruk

After a brief historical introduction to Bose-Einstein condensation and Fermi degeneracy, we discuss theoretical results we have recentely obtained for trapped degenerate quantum gases by means of a thermal field theory approach. In…

统计力学 · 物理学 2007-05-23 Luca Salasnich

We consider the internal structure and the physical properties of specific classes of neutron, quark and Bose-Einstein Condensate stars in the hybrid metric-Palatini gravity theory, which is a combination of the metric and Palatini $f(R)$…

广义相对论与量子宇宙学 · 物理学 2017-02-24 Bogdan Danila , Tiberiu Harko , Francisco S. N. Lobo , M. K. Mak

Recently a class of alternative theories of gravity which goes under the name f(R) gravity, has received considerable attention, mainly due to its interesting applications in cosmology. However, the phenomenology of such theories is not…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Thomas P. Sotiriou , Stefano Liberati

We propose a formal extension of thermodynamics and kinetic theories to a larger class of entropy functionals. Kinetic equations associated to Boltzmann, Fermi, Bose and Tsallis entropies are recovered as a special case. This formalism…

统计力学 · 物理学 2015-06-24 Pierre-Henri Chavanis

We show that, within some modified gravity theories, such as the Palatini models, the non-linear nature of the field equations implies that the usual naive averaging procedure (replacing the microscopic energy-momentum by its cosmological…

广义相对论与量子宇宙学 · 物理学 2009-02-20 Baojiu Li , David F. Mota , Douglas J. Shaw

Sympathetic cooling of an atomic Fermi gas by a Bose gas is studied by solution of the coupled quantum Boltzmann equations for the confined gas mixture. Results for equilibrium temperatures and relaxation dynamics are presented, and some…

量子物理 · 物理学 2009-10-31 W. Geist , L. You , T. A. B. Kennedy

We investigate quantum gravity corrections due to the generalized uncertainty principle on three-dimensional weakly interacting Bose gases at both zero and finite temperatures using the time-dependent Hatree-Fock-Bogoliubov theory. We…

量子气体 · 物理学 2022-02-23 Abdelaali Boudjemaa

We present an analogue spacetime model that reproduces the salient features of the most common ansatz for quantum gravity phenomenology. We do this by investigating a system of two coupled Bose-Einstein condensates. This system can be tuned…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Stefano Liberati , Matt Visser , Silke Weinfurtner

Starting with the fractal inspired distribution functions for Maxwell-Boltzmann, Bose-Einstein and Fermi systems, as reported by F. B\"{u}y\"{u}kkili\c{c} and D. Demirhan, we obtain the corresponding probability distributions and study…

凝聚态物理 · 物理学 2009-10-31 Marcelo R. Ubriaco

Studies of trapped quantum gases of bosons and of fermions have opened up a new range of many-body problems, having a strong overlap with nuclear and neutron star physics. Topics discussed here include: the Bose yrast problem -- how…

核理论 · 物理学 2009-11-10 Gordon Baym

General Relativity (GR) exists in different formulations, which are equivalent in pure gravity. Once matter is included, however, observable predictions generically depend on the version of GR. In order to quantify the resulting ambiguity,…

广义相对论与量子宇宙学 · 物理学 2024-01-04 Claire Rigouzzo , Sebastian Zell
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