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Cited by 117Cold Atom Physics and Bose-Einstein CondensatesQuantum many-body systemsStrong Light-Matter Interactions

Simple theoretical tools for low dimension Bose gases

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Castin, Y.·2004·Journal de Physique IV (Proceedings)
DOI 10.1051/jp4:2004116004
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Abstract

We first consider an exactly solvable classical field model to understand the coherence properties and the density fluctuations of a one-dimensional (1D) weakly interacting degenerate Bose gas with repulsive interactions at temperatures larger than the chemical potential. In a second part, using a lattice model for the quantum field, we explain how to carefully generalize the usual Bogoliubov approach to study a degenerate and weakly interacting Bose gas in 1D, 2D or 3D in the regime of weak density fluctuations. In the last part, using the mapping to an ideal Fermi gas in second quantized formalism, we calculate and discuss physically the density fluctuations and the coherence properties of a gas of impenetrable bosons in 1D.

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  • In the Tonks-Girardeau case, the different excited states are labeled by the quasimomenta of the fermionized particles and their energy can be analytically calculated.

    “In the specific Tonks-Girardeau case, the different excited states are labeled by the quasimomenta of the (fermionized) particles and their energy can be analytically calculated [147].”

    From How to exploit driving and dissipation to stabilize and manipulate quantum many-body states (2025) · cites this paper as [147]

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Research works printed but not linked: 35

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Authors
Castin, Y.
Affiliations
Laboratoire Kastler Brossel (FR)
Corresponding author
Castin, Y.
Venue
Journal de Physique IV (Proceedings)
Publisher
EDP Sciences
Published
2004-10
Volume
116
Pages
89-132
ISSN
1155-4339 (ISSN-L)
DOI
10.1051/jp4:2004116004
OpenAlex
W1989369166
Cited by
117
References
0
Citations by year
2026: 1 · 2025: 3 · 2024: 5 · 2023: 11 · 2022: 3 · 2021: 3 · 2020: 1 · 2019: 8 · 2018: 7 · 2017: 4 · 2016: 5 · 2015: 7 · 2014: 5 · 2013: 2 · 2012: 5
FWCI
3.27
Type
journal article
Language
en
Open access
Locations
  • Journal de Physique IV (Proceedings) (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Cold Atom Physics and Bose-Einstein Condensates
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Strong Light-Matter Interactions
Keywords
degenerate Bose gas, density fluctuations, coherence properties, Bogoliubov theory, weakly interacting bosons, impenetrable bosons, one-dimensional Bose gas

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