One-body correlations and momentum distributions of trapped one-dimensional Bose gases at finite temperature

We introduce a general approximate method for calculating the one-body correlations and the momentum distributions of one-dimensional Bose gases at finite interaction strengths and temperatures trapped in smooth confining potentials. Our method combines asymptotic techniques for the long-distance behavior of the gas (similar to Luttinger liquid theory) with known short-distance expansions. We derive analytical results for the limiting cases of strong and weak interactions and provide a general procedure for calculating one-body correlations at any interaction strength. A step-by-step explanation of the numerical method used to compute Green's functions (needed as input to our theory) is included. We benchmark our method against exact numerical calculations and compare its predictions to recent experimental results.

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Publication Details

Journal
Physical review. A/Physical review, A
Published
2025-03-20
DOI
https://doi.org/10.1103/physreva.111.033317
Primary Topic
Cold Atom Physics and Bose-Einstein Condensates
Type
article
Field-Weighted Citation Impact
0.00

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article

One-body correlations and momentum distributions of trapped one-dimensional Bose gases at finite temperature

Jérôme Dubail, Stefano Scopa, Marcos Rigol, Attila Takács et al.
Physical review. A/Physical review, A
Cold Atom Physics and Bose-Einstein Condensates
article

One-body correlations and momentum distributions of trapped one-dimensional Bose gases at finite temperature

Jérôme Dubail, Stefano Scopa, Marcos Rigol, Attila Takács, Pasquale Calabrese, Yicheng Zhang
article en

Abstract

We introduce a general approximate method for calculating the one-body correlations and the momentum distributions of one-dimensional Bose gases at finite interaction strengths and temperatures trapped in smooth confining potentials. Our method combines asymptotic techniques for the long-distance behavior of the gas (similar to Luttinger liquid theory) with known short-distance expansions. We derive analytical results for the limiting cases of strong and weak interactions and provide a general procedure for calculating one-body correlations at any interaction strength. A step-by-step explanation of the numerical method used to compute Green's functions (needed as input to our theory) is included. We benchmark our method against exact numerical calculations and compare its predictions to recent experimental results.

Physical review. A/Physical review, AVol. 111(3)
The Abdus Salam International Centre for Theoretical Physics (ICTP) (IT), Centre National de la Recherche Scientifique (FR), Pennsylvania State University (US), Scuola Internazionale Superiore di Studi Avanzati (IT), International Centre for Theoretical Sciences (IN), École Normale Supérieure (BI), CY Cergy Paris Université (FR), Laboratoire de Physique Théorique et Modélisation (FR), Université de Strasbourg (FR), University of Oklahoma (US), Université de Lorraine (FR)
National Science Foundation, Agence Nationale de la Recherche, H2020 European Research Council, H2020 Marie Skłodowska-Curie Actions
Openalex Percentile: Top 96%
Cold Atom Physics and Bose-Einstein Condensates
DOISourceOpenAlex
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