Condensates in annuli: dimensionality of the variance |
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Authors: | Ofir E Alon |
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Institution: | 1. Department of Mathematics, University of Haifa, Haifa, Israel;2. Haifa Research Center for Theoretical Physics and Astrophysics, University of Haifa, Haifa, Israelofir@research.haifa.ac.il |
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Abstract: | Static and dynamic properties of Bose-Einstein condensates in annular traps are investigated by solving the many-boson Schrödinger equation numerically accurately using the multiconfigurational time-dependent Hartree for bosons method. We concentrate on weakly-interacting bosons exhibiting low depletion. Analysis of the mean-field position variance, which accounts for the shape of the density only, and the many-body position variance, which incorporates a tiny amount of excitations through the reduced two-particle density matrix, shows that the former behaves essentially as a quasi-one-dimensional quantity whereas the latter as a two-dimensional quantity. This brings another dimension to the physics of bosons in ring-shaped traps. |
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Keywords: | Bose-Einstein condensates density variance dimensionality MCTDHB |
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