The Bogoliubov Inequality and the Nature of Bose-Einstein Condensates for Interacting Atoms in Spatial Dimensions D = 2
- UNCW Author/Contributor (non-UNCW co-authors, if there are any, appear on document)
- Moorad Alexanian (Creator)
- Institution
- The University of North Carolina Wilmington (UNCW )
- Web Site: http://library.uncw.edu/
Abstract: We consider the restriction placed by the Bogoliubov inequality on the nature of the BoseEinstein condensates (BECs) for interacting atoms in a spatial dimension D = 2 and in the presenceof an external arbitrary potential, which may be a confining “box”, a periodic, or a disorderedpotential. The atom-atom interaction gives rise to a (gauge invariance) symmetry-breaking term thatplaces further restrictions on BECs in the form of a consistency proviso. The necessary condition forthe existence of a BEC in D = 2 in all cases is macroscopic occupation of many single-particlemomenta states with the origin a limit point (or accumulation point) of condensates. It is shown thatthe nature of BECs for noninteracting atoms in a disordered potential is precisely the same as that ofBECs for interacting atoms in the absence of an external potential.
The Bogoliubov Inequality and the Nature of Bose-Einstein Condensates for Interacting Atoms in Spatial Dimensions D = 2
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Created on 1/19/2024
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Additional Information
- Publication
- Alexanian, Moorad. (2019). The Bogoliubov Inequality and the Nature of Bose-Einstein Condensates for Interacting Atoms in Spatial Dimensions D = 2. Armenian Journal of Physics, 12 (2), 185-206. https://doi.org/10.52853/18291171
- Language: English
- Date: 2019
- Keywords
- Physics, Gross-Pitaevskii equations, Broken symmetry (Physics)