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We consider a homogeneous Bose gas in the Gross-Pitaevskii limit at temperatures that are comparable to the critical temperature for Bose-Einstein condensation in the ideal gas. Our main result is an upper bound for the grand canonical free…

数学物理 · 物理学 2025-05-08 Chiara Boccato , Andreas Deuchert , David Stocker

With the integral representation of Bose functions, the Bose-Einstein condensation of non-interacting bosons in a three-dimensional harmonic trap was studied. The relation between the particle number and its phase transition temperature was…

统计力学 · 物理学 2015-06-25 Sang-Hoon Kim

Bose-condensed gases are considered with an effective interaction strength varying in the whole range of the values between zero and infinity. The consideration is based on the usage of a representative statistical ensemble for Bose systems…

统计力学 · 物理学 2009-11-13 V. I. Yukalov , E. P. Yukalova

The temperature dependence of the one-body density matrix in 4He crystals presenting vacancies is computed with Path Integral Monte Carlo. The main purpose of this study is to estimate the onset temperature T_0 of Bose-Einstein condensation…

其他凝聚态物理 · 物理学 2015-05-30 Riccardo Rota , Jordi Boronat

Developing Bogoliubov theory of weakly interacting Bose gas in uncompacted three-dimension space, quantum fluctuation energy of one component dilute gas of Bose-Einstein condensate (BEC) confined to two parallel plates investigated at…

量子气体 · 物理学 2021-04-29 Pham The Song

We apply linear-response analysis to the Gross-Pitaevskii equation to obtain the excitation frequencies of a Bose-Einstein condensate in a vortex state, and apply it to a system of Rubidium atoms confined in a time-averaged orbiting…

凝聚态物理 · 物理学 2009-10-28 R. J. Dodd , K. Burnett , Mark Edwards , C. W. Clark

We consider a homogeneous Bose gas in the Gross--Pitaevskii limit at temperatures that are comparable to the critical temperature for Bose--Einstein condensation. Recently, an upper bound for the grand canonical free energy was proved in…

数学物理 · 物理学 2025-05-13 Marco Caporaletti , Andreas Deuchert

We derive a non-equilibrium finite-temperature kinetic theory for a binary mixture of two interacting atomic Bose-Einstein condensates and use it to explore the degree of hydrodynamicity attainable in realistic experimental geometries.…

量子气体 · 物理学 2015-12-08 M. J. Edmonds , K. L. Lee , N. P. Proukakis

The zero-temperature system of two dilute overlapping Bose-Einstein condensates is unstable against long wavelength excitations if the interaction strength between the distinguishable bosons exceeds the geometric mean of the like-boson…

凝聚态物理 · 物理学 2009-10-30 Eddy Timmermans

Bose-Einstein condensation in a Bose gas is studied analytically, in any positive dimensionality ($d>0$) for identical bosons with any energy-momentum positive-exponent ($s>0$) plus an energy gap $\Delta$ between the ground state energy…

量子气体 · 物理学 2018-12-21 J. G. Martínez-Herrera , J. García-Nila , M. A. Solís

We discuss Bose-Einstein condensation in harmonic traps where the confinement has undergone a splitting along one direction. We mostly consider the 3D potentials consisting of two cylindrical wells separated a distance 2a along the z-axis.…

凝聚态物理 · 物理学 2009-10-31 P. Capuzzi , E. S. Hernandez

We compare the collective modes for Bose-condensed systems with two degenerate components with and without spontaneous intercomponent coherence at finite temperature using the time-dependent Hartree-Fock approximation. We show that the…

其他凝聚态物理 · 物理学 2015-06-25 C. -H. Zhang , H. A. Fertig

We present arguments that the low density surface region of self-bounded superfluid $^4$He systems is an inhomogeneous dilute Bose gas, with almost all of the atoms occupying the same single-particle state at $T = 0$. Numerical evidence for…

凝聚态物理 · 物理学 2009-10-28 A. Griffin , S. Stringari

Bose-Einstein condensate of rarified atomic gases is considered as the state formed by exchange of virtual photons, resonant to the lowest levels of atoms; such representation corresponds to the Einstein opinion about an inter-influence of…

其他凝聚态物理 · 物理学 2008-04-14 Mark E. Perel'man

It is shown that surface waves propagating against the external current, slowly varying in the horizontal direction in deep water, are governed by the equation which is tantamount to the Gross - Pitaevskii equation modelling the mean-field…

流体动力学 · 物理学 2018-05-25 G. Rousseaux , Y. Stepanyants

A dilute bose gas in a quasi two-dimensional harmonic trap and interacting with a repulsive two-body zero-range potential of fixed coupling constant is considered. Using the Thomas-Fermi method, it is shown to remain in the same uncondensed…

介观与纳米尺度物理 · 物理学 2009-10-31 R. K. Bhaduri , S. M. Reimann , S. Viefers , A. Ghose Choudhury , M. K. Srivastava

We construct a fully self-consistent non-equilibrium theory for the dynamics of two interacting finite-temperature atomic Bose-Einstein condensates. The condensates are described by dissipative Gross-Pitaevskii equations, coupled to quantum…

量子气体 · 物理学 2015-01-15 M. J. Edmonds , K. L. Lee , N. P. Proukakis

We consider systems of N bosons trapped on the two-dimensional unit torus, in the Gross-Pitaevskii regime, where the scattering length of the repulsive interaction is exponentially small in the number of particles. We show that low-energy…

数学物理 · 物理学 2023-01-11 Cristina Caraci , Serena Cenatiempo , Benjamin Schlein

We rely on a variational approach to derive a set of equations governing a trapped self-interacting Bose gas at finite temperature. In this work, we analyze the static situation both at zero and finite temperature in the Thomas-Fermi limit.…

统计力学 · 物理学 2008-01-21 M. Benarous , H. Chachou Samet

Due to the observation of Bose-Einstein condensation in dilute atomic $^{87}$Rb and $^{23}$Na vapors last year, there is currently a great interest in the properties of a degenerate Bose gas. One aspect that is not yet understood is the…

凝聚态物理 · 物理学 2007-05-23 M. Bijlsma , H. T. C. Stoof