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A phenomenological model is proposed to describe the behavior of spinor Bose-Einstein condensates. In the absence of hyperfine spin-spin interactions, Bose-Einstein condensation leads to a spontaneous magnetization at the same transition…

Condensed Matter · Physics 2009-11-07 Qiang Gu

We examine the possibility of Bose-Einstein condensation in one-dimensional interacting Bose gas subjected to confining potentials of the form $V_{\rm ext}(x)=V_0(|x|/a)^\gamma$, in which $\gamma < 2$, by solving the Gross-Pitaevskii…

Statistical Mechanics · Physics 2009-10-31 M. Bayindir , B. Tanatar , Z. Gedik

We derive general approximate formulas that provide with remarkable accuracy the ground-state properties of any mean-field scalar Bose-Einstein condensate with short-range repulsive interatomic interactions, confined in arbitrary…

Other Condensed Matter · Physics 2016-08-14 A. Muñoz Mateo , V. Delgado

We report the first experimental observation of Beliaev damping of a collective excitation in a Bose-condensed gas. Beliaev damping is not predicted by the Gross-Pitaevskii equation and so this is one of the few experiments that tests BEC…

Statistical Mechanics · Physics 2009-10-31 E. Hodby , O. M. Marago' , G. Hechenblaikner , C. J. Foot

We consider the thermodynamics of a homogeneous superfluid dilute Bose gas in the presence of weak quenched disorder. Following the zero-temperature approach of Huang and Meng, we diagonalize the Hamiltonian of a dilute Bose gas in an…

Other Condensed Matter · Physics 2010-02-05 G. M. Falco , A. Pelster , R. Graham

In the mean-field approximation, a trapped Bose-Einstein condensate at zero temperature is described by the Gross-Pitaevskii equation for the condensate, or equivalently, by the hydrodynamic equations for the number density and the current…

Condensed Matter · Physics 2009-10-31 Jens O. Andersen , Eric Braaten

We derive a new damping mechanism in the open quantum systems description of Bose-Einstein condensates. It stems from previously neglected terms in the derivation of the stochastic projective Gross-Pitaevskii equation (SPGPE), accounting…

Quantum Gases · Physics 2026-02-04 Nils A. Krause , Ashton S. Bradley

We experimentally investigate the superfluid properties of a two-dimensional, weakly interacting Bose-Einstein condensate in the zero-temperature regime, when it is subjected to a triangular optical lattice potential. We implement an…

Quantum Gases · Physics 2025-11-07 F. Rabec , G. Brochier , S. Wattellier , G. Chauveau , Y. Li , S. Nascimbene , J. Dalibard , J. Beugnon

The achievement of Bose-Einstein condensation (BEC) in ultracold vapors of alkali atoms has given enormous impulse to the theoretical and experimental study of dilute atomic gases in condensed quantum states inside magnetic traps and…

Mathematical Physics · Physics 2017-11-21 Weizhu Bao

The dynamics of a trapped Bose-condensed gas at finite temperatures is described by a generalized Gross-Pitaevskii equation for the condensate order parameter and a semi-classical kinetic equation for the thermal cloud, solved using…

Statistical Mechanics · Physics 2009-11-07 B. Jackson , E. Zaremba

We extend the Projected Gross Pitaevskii equation formalism of Davis et al. [Phys. Rev. Lett. \bf{87}, 160402 (2001)] to the experimentally relevant case of harmonic potentials. We outline a robust and accurate numerical scheme that can…

Other Condensed Matter · Physics 2015-06-24 P. Blair Blakie , Matthew J. Davis

We discuss the collective modes of a trapped Bose gas in the hydrodynamic regime where atomic collisions ensure local thermal equilibrium for the distribution function. Starting from the conservation laws, in the linearized limit we derive…

Condensed Matter · Physics 2009-10-28 A. Griffin , Wen-Chin Wu , S. Stringari

A commonly used theoretical definition of superfluidity in the ground state of a Bose gas is based on the response of the system to an imposed velocity field or, equivalently, to twisted boundary conditions in a box. We are able to carry…

Condensed Matter · Physics 2009-11-07 Elliott H. Lieb , Robert Seiringer , Jakob Yngvason

The theory of Bose-Einstein condensation in a two-dimensional(2D) harmonic trap is developed from 2D Gross-Pitaevskii equation. The 2D interaction strength is obtained from a 2D collision theory. We show the realization of 2D condensation…

Statistical Mechanics · Physics 2016-08-31 Sang-Hoon Kim , Changyeon Won , Sung Dahm Oh , Wonho Jhe

We report a measurement of the suppression of collisions of quasi-particles with ground state atoms within a Bose-Einstein condensate at low momentum. These collisions correspond to Beliaev damping of the excitations, in the previously…

Soft Condensed Matter · Physics 2009-11-07 N. Katz , J. Steinhauer , R. Ozeri , N. Davidson

We study the stationary and excitation properties of a one-dimensional quantum droplet in the two-component Bose mixture trapped in a harmonic potential. By constructing the energy functional for the inhomogeneous mixture, we elaborate the…

Quantum Gases · Physics 2024-08-26 Xucong Du , Yifan Fei , Xiao-Long Chen , Yunbo Zhang

The realization of Bose-Einstein condensation in ultracold trapped gases has led to a revival of interest in that fascinating quantum phenomenon. This experimental achievement necessitated both extremely low temperatures and sufficiently…

Quantum Gases · Physics 2021-02-22 Mihály Máté , Örs Legeza , Rolf Schilling , Mason Yousif , Christian Schilling

A review is given of recent theoretical work on the superfluid dynamics of trapped Bose gases at finite temperatures, where there is a significant fraction of non-condensate atoms. One can now reach large enough densities and collision…

Condensed Matter · Physics 2007-05-23 Allan Griffin , Tetsuro Nikuni

We study the damping of low-lying collective excitations of condensates in a weakly interacting Bose gas model within the framework of imaginary time path integral. A general expression of the damping rate has been obtained in the low…

Soft Condensed Matter · Physics 2009-10-30 W. Vincent Liu

We have observed Bose-Einstein condensation of an atomic gas in the (quasi-)uniform three-dimensional potential of an optical box trap. Condensation is seen in the bimodal momentum distribution and the anisotropic time-of-flight expansion…