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Exact hydrodynamics of a trapped dipolar Bose-Einstein condensate

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posted on 2023-06-08, 00:50 authored by Duncan H J O'Dell, Stefano Giovanazzi, Claudia Eberlein
We present exact results in the Thomas-Fermi regime for the statics and dynamics of a harmonically trapped Bose-Einstein condensate that has dipole-dipole interactions in addition to the usual s-wave contact interactions. Remarkably, despite the nonlocal and anisotropic nature of the dipolar interactions, the density profile in a general time-dependent harmonic trap is an inverted parabola. The evolution of the condensate radii is governed by local, ordinary differential equations, and as an example we calculate the monopole and quadrupole shape oscillation frequencies.

History

Publication status

  • Published

File Version

  • Published version

Journal

Physical Review Letters

ISSN

0031-9007

Issue

25

Volume

92

Page range

250401

Department affiliated with

  • Physics and Astronomy Publications

Notes

The paper uses the exact solution of the Thomas-Fermi equation for a BEC with dipole-dipole interactions to derive the exact condensate radii and the equations for their evolution in time and calculate experimentally important quantities. This work was carried out in collaboration with two postdocs.

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

First Open Access (FOA) Date

2016-03-22

First Compliant Deposit (FCD) Date

2017-03-08

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