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- Title
Common Features in Multi-species Bose-Einstein Condensates and the Origin of the Inherent Critical Phenomena.
- Authors
Liu, Y. M.; He, Y. Z.; Bao, C. G.
- Abstract
A general approach is proposed to solve the coupled Gross-Pitaevskii equations (CGP) for K-species Bose-Einstein condensates under the Thomas-Fermi approximation. We aim at finding out the common features of these condensates different in K. In particular, two types of phase transitions, full-state transition and partial-state transition, are found. In the former, all species are involved in the transition, while in the latter only a few specified species are significantly involved. This leads to the criticality and the hidden criticality (namely, the criticality found in a condensate with fewer species recovers in a condensate with more species). The former originates from the singularity of the whole matrix of the CGP, while the latter originates from the singularity of a specified sub-matrix (which is related to a few specified species). In general, for any many-body system, the singularity inherent in the equations that govern the system is crucial to its critical behavior.
- Subjects
GROSS-Pitaevskii equations; BOSE-Einstein condensation; CRYSTAL structure; QUANTUM statistical mechanics; SUPERFLUIDITY
- Publication
Journal of Low Temperature Physics, 2019, Vol 194, Issue 1/2, p153
- ISSN
0022-2291
- Publication type
Article
- DOI
10.1007/s10909-018-2072-3