Two-body momentum correlations in a weakly interacting one-dimensional Bose gas

Bouchoule, I., Arzamasovs, M., Kheruntsyan, K. V. and Gangardt, D. M. (2012) Two-body momentum correlations in a weakly interacting one-dimensional Bose gas. Physical Review A, 86 3: . doi:10.1103/PhysRevA.86.033626

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Author Bouchoule, I.
Arzamasovs, M.
Kheruntsyan, K. V.
Gangardt, D. M.
Title Two-body momentum correlations in a weakly interacting one-dimensional Bose gas
Journal name Physical Review A   Check publisher's open access policy
ISSN 1050-2947
1094-1622
Publication date 2012-09-24
Sub-type Article (original research)
DOI 10.1103/PhysRevA.86.033626
Open Access Status File (Publisher version)
Volume 86
Issue 3
Total pages 11
Place of publication College Park, MD, United States
Publisher American Physical Society
Collection year 2013
Language eng
Formatted abstract
We analyze the two-body momentum correlation function for a uniform, weakly interacting, one-dimensional Bose gas. We show that the strong positive correlation between opposite momenta, expected in a Bose-Einstein condensate with a true long-range order, almost vanishes in a phase-fluctuating quasicondensate where the long-range order is destroyed. Using the Luttinger liquid approach, we derive an analytic expression for the momentum correlation function in the quasicondensate regime, showing (i) the reduction and broadening of the opposite-momentum correlations (compared to the singular behavior in a true condensate) and (ii) an emergence of anticorrelations at small momenta. We also numerically investigate the momentum correlations in the crossover between the quasicondensate and the ideal Bose-gas regimes using a classical field approach and show how the anticorrelations gradually disappear in the ideal-gas limit.
Keyword Mott insulator
Atom
Interferometry
Entanglement
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes Article #033626

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2013 Collection
 
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