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A two-dimensional rapidly rotating Bose-Einstein condensate in an anharmonic trap with quadratic and quartic radial confinement is studied analytically with the Thomas-Fermi approximation and numerically with the full time-independent…

Statistical Mechanics · Physics 2009-11-10 Alexander L. Fetter , B. Jackson , S. Stringari

Recent experiments have shown that it is possible to create an in-plane harmonic potential trap for a two-dimensional (2D) gas of exciton-polaritons in a microcavity structure, and evidence has been reported of Bose-Einstein condensation of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Oleg L. Berman , Yurii E. Lozovik , David W. Snoke

Starting from the standard three-dimensional (3D) Gross-Pitaevskii equation (GPE) and using a variational approximation, we derive an effective one-dimensional nonpolynomial Schr\"odinger equation (1D-NPSE) governing the axial dynamics of…

Quantum Gases · Physics 2020-01-08 Mateus C. P. dos Santos , Boris A. Malomed , Wesley B. Cardoso

We establish a complete set of hydrodynamic equations for a spin-1 Bose-Einstein condensate (BEC), which are equivalent to the multi-component Gross-Pitaevskii equations and expressed in terms of only observable physical quantities: the…

Quantum Gases · Physics 2015-06-11 Emi Yukawa , Masahito Ueda

We investigate spatiotemporal chaos in Bose-Einstein condensate (BEC) confined by a 1D harmonic trap using Gross-Pitaevskii equation simulations. The chaos arises from nonlinear mixing of ground and excited states, confirmed by positive…

Chaotic Dynamics · Physics 2024-12-23 Mingshu Zhao

We investigate the mean--field equilibrium solutions for a two--species immiscible Bose--Einstein condensate confined by a harmonic confinement with additional linear perturbations. We observe a range of equilibrium density structures,…

As an atomic Bose Einstein condensate (BEC) is coupled to a source of uncondensed atoms at the same temperature and to a sink (extraction towards an atom laser) the idealized description in terms of a Gross-Pitaevsky equation (GP) no longer…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 F. T. Arecchi , J. Bragard , L. M. Castellano

We study the coherent atomic tunneling between two zero-temperature Bose-Einstein condensates (BEC) confined in a double-well magnetic trap. Two Gross-Pitaevskii equations for the self-interacting BEC amplitudes, coupled by a transfer…

Soft Condensed Matter · Physics 2009-10-30 A. Smerzi , S. Fantoni , S. Giovanazzi , . R. Shenoy

We report observation of Bose-Einstein condensation of a trapped, dilute gas of atomic hydrogen. The condensate and normal gas are studied by two-photon spectroscopy of the 1S-2S transition. Interactions among the atoms produce a shift of…

We study the Josephson oscillation and self trapping dynamics of a cigar-shaped dipolar Bose-Einstein condensate of $^{52}$Cr atoms polarized along the symmetry axis of an axially-symmetric double-well potential using the numerical solution…

Quantum Gases · Physics 2015-06-19 S. K. Adhikari

The density of states of a Bose-condensed gas confined in a harmonic trap is investigated. The predictions of Bogoliubov theory are compared with the ones of Hartree-Fock theory and of the hydrodynamic model. We show that the Hartree-Fock…

Condensed Matter · Physics 2009-10-30 F. Dalfovo , S. Giorgini , M. Guilleumas , L. Pitaevskii , S. Stringari

In this paper we give a theoretical description of resonant coupling between two collective excitations of a Bose condensed gas (BEC) on, or close, to a second harmonic resonance. Using analytic expressions for the quasi-particle…

Soft Condensed Matter · Physics 2009-11-07 G. Hechenblaikner , S. A. Morgan , E. Hodby , O. M. Marago , C. J. Foot

A correlated quantum many-body method is applied to describe resonance states of atomic Bose-Einstein condensates (BEC) in a realistic shallow trap (as opposed to infinite traps commonly used). The realistic van der Waals interaction is…

Quantum Gases · Physics 2011-11-30 Sudip Kumar Haldar , Barnali Chakrabarti , Tapan Kumar Das

The effect of dipolar orientation with respect to the soliton plane on the physics of two-dimensional bright solitons in dipolar Bose-Einstein condensates is discussed. Previous studies on such a soliton involved dipoles either…

A simple picture describes the results of recent treatments of partially-condensed, dilute, trapped Bose gases at temperature T > 0. The condensate wavefunction is nearly identical to that of a T=0 condensate with the same number of…

Statistical Mechanics · Physics 2007-05-23 R. J. Dodd , K. Burnett , Mark Edwards , Charles W. Clark

Two-dimensionality of the scattering events in a Bose-Einstein condensate introduces a logarithmic dependence on density in the coupling constant entering a mean-field theory of the equilibrium density profile, which becomes dominant as the…

Statistical Mechanics · Physics 2007-05-23 B. Tanatar , A. Minguzzi , P. Vignolo , and M. P. Tosi

We analyze, analytically and numerically, the position, momentum, and in particular the angular-momentum variance of a Bose-Einstein condensate (BEC) trapped in a two-dimensional anisotropic trap for static and dynamic scenarios. The…

Quantum Gases · Physics 2019-11-04 Ofir E. Alon

We present a complete analysis of the dynamics of a Bose-Einstein condensate trapped in a symmetric triple-well potential. Our classical analogue treatment, based on a time-dependent variational method using SU(3) coherent states, includes…

Quantum Physics · Physics 2011-04-01 T. F. Viscondi , K. Furuya

We derive the coupled equations of motion for the condensate (superfluid) and non-condensate (normal fluid) degrees of freedom in a trapped Bose gas at finite temperatures. Our results are based on the Hartree-Fock-Popov approximation for…

Condensed Matter · Physics 2009-10-30 E. Zaremba , A. Griffin , T. Nikuni

We study the effect of inter-condensate dipole-dipole interactions in a setup consisting of physically disconnected, single-species dipolar Bose-Einstein condensates. In particular, making use of the long-range and anisotropic nature of…

Quantum Gases · Physics 2024-11-28 Pranay Nayak , Ratheejit Ghosh , Rejish Nath
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