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

Autor: Salvatore Butera, David Clément, Iacopo Carusotto
Přispěvatelé: School of Physics and Astronomy, University of Glasgow, Glasgow, UK, Laboratoire Charles Fabry / Gaz Quantiques, Laboratoire Charles Fabry (LCF), Université Paris-Sud - Paris 11 (UP11)-Centre National de la Recherche Scientifique (CNRS)-Institut d'Optique Graduate School (IOGS)-Université Paris-Sud - Paris 11 (UP11)-Centre National de la Recherche Scientifique (CNRS)-Institut d'Optique Graduate School (IOGS), BEC-INFM, Università degli Studi di Trento (UNITN)
Rok vydání: 2021
Předmět:
Zdroj: Physical Review A
Physical Review A, American Physical Society 2021, 103, pp.013302
ISSN: 2469-9934
2469-9926
1050-2947
Popis: 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 peculiarities of the trapped gas 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.
13 pages, 6 figures
Databáze: OpenAIRE