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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 investigate a Bose-Einstein condensate trapped in a 2D optical lattice in the presence of weak disorder within the framework of the Bogoliubov theory. In particular, we analyze the combined effects of disorder and an optical lattice on…

量子气体 · 物理学 2015-05-14 Ying Hu , Zhaoxin Liang , Bambi Hu

We discuss fluctuations in a dilute two-dimensional Bose-condensed dipolar gas, which has a roton-maxon character of the excitation spectrum. We calculate the density-density correlation function, fluctuation corrections to the chemical…

量子气体 · 物理学 2015-06-12 Abdelâali Boudjemaâ , G. V. Shlyapnikov

This paper investigates numerical methods for approximating the ground state of Bose--Einstein condensates (BECs) by introducing two relaxed formulations of the Gross--Pitaevskii energy functional. These formulations achieve first- and…

数值分析 · 数学 2025-07-30 Jing Guo , Yongyong Cai , Dong Wang

In order to study the rotating strongly coupled Bose-Einstein condensations(BEC), a holographic model defined in an AdS black hole that duals to a coupled two-component condensations in global $U(1)$ symmetry broken phase with…

量子气体 · 物理学 2020-08-26 Wei-Can Yang , Chuan-Yin Xia , Muneto Nitta , Hua-Bi Zeng

In the present work we consider the role that metric fluctuations could have upon the properties of a Bose--Einstein condensate. In particular we consider the Bogoliubov space associated to it and show that there are, at least, two…

广义相对论与量子宇宙学 · 物理学 2015-06-03 J. I. Rivas , A. Camacho , E. Goeklue

We present an ab initio stochastic method for calculating thermal properties of a trapped, 1D Bose-gas covering the whole range from weak to strong interactions. Discretization of the problem results in a Bose-Hubbard-like Hamiltonian,…

统计力学 · 物理学 2009-11-10 B. Schmidt , L. I. Plimak , M. Fleischhauer

Open quantum systems theory is central to describing the dynamics and equilibration of dilute-gas Bose-Einstein condensates (BECs). We present an analysis of the linearized stochastic projected Gross-Pitaevskii equation (SPGPE) describing…

量子气体 · 物理学 2025-09-11 Nils A. Krause , Ashton S. Bradley

The one-body density matrix of weakly interacting, condensed bosons in external potentials is calculated using inhomogeneous Bogoliubov theory. We determine the condensate deformation caused by weak external potentials on the mean-field…

量子气体 · 物理学 2012-07-31 C. A. Müller , C. Gaul

We theoretically propose an experimentally viable scheme to use an impurity atom in a dipolar Bose-Einstein condensate (BEC), in order to probe analogue low-energy Lorentz violation from the modified dispersion at high energies as suggested…

量子物理 · 物理学 2021-05-05 Zehua Tian , Jiangfeng Du

We study the decay of vortices in Bose-Einstein condensates at finite temperatures by means of the Zaremba Nikuni Griffin formalism, in which the condensate is modelled by a Gross Pitaevskiiequation, which is coupled to a Boltzmann kinetic…

统计力学 · 物理学 2015-05-13 B. Jackson , N. P. Proukakis , C. F. Barenghi , E. Zaremba

Fluctuations of the number of particles for the dilute interacting gas with Bose-Einstein condensate are considered. It is shown that in the Bogolubov theory these fluctuations are normal. The fluctuations of condensed as well as…

统计力学 · 物理学 2015-06-25 V. I. Yukalov

We develop a functional integral formalism for ultracold gases of fermionic atoms. It describes the BEC - BCS crossover and involves both atom and molecule fields. Beyond mean field theory we include the fluctuations of the molecule field…

超导电性 · 物理学 2010-10-27 S. Diehl , C. Wetterich

We propose that impurities in Bose-Einstein condensates can serve as a minimal laboratory system to explore the effects of quantum and thermal fluctuations on solvation. Specifically, we show that the role of quantum fluctuations in the…

量子气体 · 物理学 2015-09-30 Shahriar Shadkhoo , Robijn Bruinsma

Two-component Bose-Einstein condensates are considered within a number conserving version of the Bogoliubov theory. We show that the Bogoliubov vacuum state can be obtained in the particle representation in a simple form. We predict…

其他凝聚态物理 · 物理学 2009-11-13 Bartlomiej Oles , Krzysztof Sacha

We investigate Bose-Einstein condensation for interacting bosons at zero and nonzero temperature. Functional renormalization provides us with a consistent method to compute the effect of fluctuations beyond the Bogoliubov approximation. For…

超导电性 · 物理学 2009-01-28 S. Floerchinger , C. Wetterich

Expressions for the quantum fluctuations of energy density have been derived for the subsystems consisting of hot relativistic gas of particles with spin-$\frac{1}{2}$ and mass $m$. Our expressions for the fluctuation depend on the form of…

量子物理 · 物理学 2021-11-10 Rajeev Singh

We study fluctuations of the number of Bose condensed atoms in weakly interacting homogeneous and trapped gases. For a homogeneous system we apply the particle-number-conserving formulation of the Bogoliubov theory and calculate the…

统计力学 · 物理学 2009-11-10 Zbigniew Idziaszek

Paper is published in J. Phys. A: Math. Theor. 43 (2010) 225001, doi:10.1088/1751-8113/43/22/225001. Exact analytical solution for the universal probability distribution of the order parameter fluctuations as well as for the universal…

统计力学 · 物理学 2015-11-11 Vitaly V. Kocharovsky , Vladimir V. Kocharovsky

Quasi one dimensional Bose-Einstein condensates (BECs) in elongated traps exhibit significant phase fluctuations even at very low temperatures. We present recent experimental results on the dynamic transformation of phase fluctuations into…