期刊
JOURNAL OF MATHEMATICAL PHYSICS
卷 55, 期 5, 页码 -出版社
AIP Publishing
DOI: 10.1063/1.4875684
关键词
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资金
- Lundbeck Foundation
- European Research Council under the European Community/ERC [202859]
- DIASSTP
In this paper, we rigorously investigate the reduced density matrix (RDM) associated to the ideal Bose gas in harmonic traps. We present a method based on a sum-decomposition of the RDM allowing to treat not only the isotropic trap, but also general anisotropic traps. When focusing on the isotropic trap, the method is analogous to the loop-gas approach developed by Mullin [The loop-gas approach to Bose-Einstein condensation for trapped particles,Am. J. Phys. 68(2), 120 (2000)]. Turning to the case of anisotropic traps, we examine the RDM for some anisotropic trap models corresponding to some quasi-1D and quasi-2D regimes. For such models, we bring out an additional contribution in the local density of particles which arises from the mesoscopic loops. The close connection with the occurrence of generalized-Bose-Einstein condensation is discussed. Our loop-gas-like approach provides relevant information which can help guide numerical investigations on highly anisotropic systems based on the Path Integral Monte Carlo method. (c) 2014 AIP Publishing LLC.
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