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• W2091223904 abstract "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 W.J. Mullin in [38]. 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-BEC 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 (PIMC) method." @default.
• W2091223904 created "2016-06-24" @default.
• W2091223904 creator A5072532252 @default.
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• W2091223904 date "2014-05-01" @default.
• W2091223904 modified "2023-09-27" @default.
• W2091223904 title "Rigorous investigation of the reduced density matrix for the ideal Bose gas in harmonic traps by a loop-gas-like approach" @default.
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• W2091223904 doi "https://doi.org/10.1063/1.4875684" @default.
• W2091223904 hasPublicationYear "2014" @default.
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