The DOI matches its Crossref record; 29 of the 29 references it cites were found in a registry or an index.
Extension of Bogoliubov theory to quasicondensates
Open accessAbstract
We present an extension of the well-known Bogoliubov theory to treat low-dimensional degenerate Bose gases in the limit of weak interactions and low density fluctuations. We use a density-phase representation and show that a precise definition of the phase operator requires a space discretization in cells of size l. We perform a systematic expansion of the Hamiltonian in terms of two small parameters, the relative density fluctuations inside a cell and the phase change over a cell. The resulting macroscopic observables can be computed in one, two, and three dimensions with no ultraviolet or infrared divergence. Furthermore, this approach exactly matches Bogoliubov's approach when there is a true condensate. We give the resulting expressions for the equation of state of the gas, the ground state energy, and the first order and second order correlation functions of the field. Explicit calculations are done for homogeneous systems.
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Cites
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Bloch, I., Dalibard, J., & Zwerger, W. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.885 · Cited by 8,114
Carusotto, I., & Ciuti, C. (2013) · Reviews of Modern Physics · doi:10.1103/revmodphys.85.299 · Cited by 1,996
Relaxation and Prethermalization in an Isolated Quantum System
Gring, M., Kuhnert, M., Langen, T., Kitagawa, T., Rauer, B., Schreitl, M., Mazets, I., Smith, D. A., Demler, E., & Schmiedmayer, J. (2012) · Science · doi:10.1126/science.1224953 · Cited by 1,047
Bosonizing one-dimensional cold atomic gases
Cazalilla, M. A. (2004) · Journal of Physics B: Atomic, Molecular and Optical Physics · doi:10.1088/0953-4075/37/7/051 · Cited by 423
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Carretero-González, R., Frantzeskakis, D. J., & Kevrekidis, P. G. (2008) · Nonlinearity · doi:10.1088/0951-7715/21/7/r01 · Cited by 339
Metadata
- Authors
- Mora, C., & Castin, Y.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2003-05-30
- Volume
- 67
- Issue
- 5
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2050558778
- Cited by
- 342
- References
- 29
- FWCI
- 5.48
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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