Position- and momentum-space two-body correlations in a weakly interacting trapped condensate

Butera, S. , Clément, D. and Carusotto, I. (2021) Position- and momentum-space two-body correlations in a weakly interacting trapped condensate. Physical Review A: Atomic, Molecular and Optical Physics, 103(1), 013302. (doi: 10.1103/PhysRevA.103.013302)

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We investigate the position- and momentum-space two--body correlations in a weakly interacting, harmonically trapped atomic Bose-Einstein condensed gas at low temperatures. The two--body correlations are computed within the Bogoliubov approximation and the consequences of the finite system size are highlighted in contrast to the spatially homogeneous case. In the position space, we recover the anti--bunching induced by the repulsive inter--atomic interaction in the condensed fraction localized around the trap center and the bunching in the outer thermal cloud. In the momentum space, bunching signatures appear for either equal or opposite values of the momentum and display peculiar features as a function of the momentum and the temperature. In analogy to the optical Hanbury Brown and Twiss effect, the amplitude of the bunching signal at close-by momenta is fixed by the chaotic nature of the matter field state and its linewidth is shown to be set by the (inverse of the) finite spatial size of the associated in-trap momentum components. In contrast, the linewidth of the bunching signal at opposite-momenta is only determined by the condensate size.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Butera, Dr Salvatore
Authors: Butera, S., Clément, D., and Carusotto, I.
Subjects:Q Science > QC Physics
College/School:College of Science and Engineering > School of Physics and Astronomy
Research Group:Quantum Theory Group
Journal Name:Physical Review A: Atomic, Molecular and Optical Physics
Publisher:American Physical Society
ISSN (Online):1050-2947
Published Online:04 January 2021
Copyright Holders:Copyright © 2021 American Physical Society
First Published:First published in Physical Review A: Atomic, Molecular and Optical Physics 103(1): 013302
Publisher Policy:Reproduced in accordance with the publisher copyright policy
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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
306690Analog models of quantum fields and their backgroundSalvatore ButeraLeverhulme Trust (LEVERHUL)ECF-2019-461P&S - Physics & Astronomy