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We study the thermodynamics of ultracold Bose atoms in optical lattices by numerically diagonalizing the mean-field Hamiltonian of the Bose-Hubbard model. This method well describes the behavior of long-range correlations and therefore is…

Other Condensed Matter · Physics 2009-11-11 Xiancong Lu , Yue Yu

The phenomenon of Bose-like condensation, the continuous change of the dimensionality of the particle distribution as a consequence of freezing out of one or more degrees of freedom in the low particle density limit, is investigated…

Statistical Mechanics · Physics 2009-10-31 Dragoş-Victor Anghel

We consider a three-dimensional weakly interacting Bose gas in the fluctuation region (and its vicinity) of the normal-superfluid phase transition point. We establish relations between basic thermodynamic functions: density, $n(T,\mu)$,…

Superconductivity · Physics 2007-05-23 Nikolay Prokof'ev , Oliver Ruebenacker , Boris Svistunov

The Bogoliubov - de Gennes equations are solved for the Coulomb Bose gas describing a fluid of charged bosons at finite temperature. The approach is applicable in the weak coupling regime and the extent of its quantitative usefulness is…

Condensed Matter · Physics 2009-10-31 E. Strepparola , A. Minguzzi , M. P. Tosi

We numerically study the imprinting and dynamics of dark solitons in a bosonic atomic gas in a tightly-confined one-dimensional harmonic trap both with and without an optical lattice. Quantum and thermal fluctuations are synthesized within…

Quantum Gases · Physics 2010-05-14 A. D. Martin , J. Ruostekoski

We investigate the influence of quantum fluctuations upon dipolar Bose gases by means of the Bogoliubov-de Gennes theory. Thereby, we make use of the local density approximation to evaluate the dipolar exchange interaction between the…

Atomic Physics · Physics 2011-10-27 Aristeu R. P. Lima , Axel Pelster

A model of hybridized bosons and fermions is studied beyond the mean field approximation. The divergent boson self-energy at zero temperature makes the Cooper pairing of fermions impossible.The frequency and momentum dependence of the self-…

Condensed Matter · Physics 2009-10-28 A. S. Alexandrov

Recently, trapped dipolar gases were observed to form high density droplets in a regime where mean field theory predicts collapse. These droplets present a novel form of equilibrium where quantum fluctuations are critical for stability. So…

Quantum Gases · Physics 2020-10-07 E. Aybar , M. O. Oktel

We use the Bose-Hubbard Hamiltonian to study quantum fluctuations in canonical equilibrium ensembles of bosonic Josephson junctions at relatively high temperatures, comparing the results for finite particle numbers to the classical limit…

Quantum Gases · Physics 2013-09-04 Bruno Julia-Diaz , Alex D. Gottlieb , Joan Martorell , Artur Polls

We theoretically investigate the temperature effect in a Bose-Bose mixture with attractive inter-species interactions, in the regime where a self-bound ultradilute quantum droplet forms due to the subtle balance between the attractive…

Quantum Gases · Physics 2020-12-02 Jia Wang , Hui Hu , Xia-Ji Liu

The temperature dependence of a mobile impurity in a dilute Bose gas, the Bose polaron, is investigated for wide a range of impurity-bath interactions. Using a diagrammatic resummation scheme designed to include scattering processes…

Quantum Gases · Physics 2018-02-08 Nils-Eric Guenther , Pietro Massignan , Maciej Lewenstein , Georg M. Bruun

Employing one plus two-body random matrix ensembles for bosons, temperature and entropy are calculated, using different definitions, as a function of the two-body interaction strength \lambda for a system with 10 bosons (m=10) in five…

Chaotic Dynamics · Physics 2012-09-04 N. D. Chavda , V. K. B. Kota , V. Potbhare

For equilibrium systems, the magnitude of thermal fluctuations is closely linked to the dissipative response to external perturbations. This fluctuation-dissipation relation has been described for material particles in a wide range of…

Quantum Gases · Physics 2023-01-24 Fahri Emre Öztürk , Frank Vewinger , Martin Weitz , Julian Schmitt

We study the statistical properties of a gas of interacting bosons trapped in a box potential in two and three dimensions. Our primary focus is the characteristic temperature $\tchar$, i.e. the temperature at which the fluctuations of the…

Quantum Physics · Physics 2023-06-14 M. B. Kruk , T. Vibel , J. Arlt , P. Kulik , K. Pawłowski , K. Rzążewski

The variational theory of equilibrium boson system state to have been previously developed by the author under the density matrix formalism is applicable for researching equilibrium states and thermodynamic properties of the quantum Bose…

General Physics · Physics 2014-12-19 Boris Bondarev

We determine quantum precision limits for estimation of damping constants and temperature of lossy bosonic channels. A direct application would be the use of light for estimation of the absorption and the temperature of a transparent slab.…

Quantum Physics · Physics 2020-09-16 Jiaxuan Wang , Luiz Davidovich , Girish Saran Agarwal

We investigate the properties of nucleons at finite temperature and density using a two-flavor quark meson model with Gaussian fluctuations that extend beyond the mean-field approximation. Our findings suggest that Gaussian fluctuations…

High Energy Physics - Theory · Physics 2025-05-27 Peixin Weng , Bingtao Li , Yiming Lyu , Song Shu , Hui Zhang

The critical temperature of Bose-Einstein condensation essentially depends on internal properties of the system as well as on the geometry of a trapping potential. The peculiarities of defining the phase transition temperature of…

Quantum Gases · Physics 2017-05-31 V. I. Yukalov , E. P. Yukalova

We present a comprehensive study shedding light on how thermal fluctuations affect correlations in a Bose gas with contact repulsive interactions in one spatial dimension. The pair correlation function, the static structure factor, and the…

Quantum Gases · Physics 2023-04-10 Giulia De Rosi , Riccardo Rota , Grigori E. Astrakharchik , Jordi Boronat

It is known that temperature estimates of macroscopic systems in equilibrium are most precise when their energy fluctuations are large. However, for nanoscale systems deviations from standard thermodynamics arise due to their interactions…

Quantum Physics · Physics 2018-06-14 Harry J. D. Miller , Janet Anders