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Analysis of a trapped Bose-Einstein condensate in terms of position, momentum, and angular-momentum variance
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abstract
We analyze, analytically and numerically, the position, momentum, and in particular the angular-momentum variance of a Bose-Einstein condensate (BEC) trapped in a two-dimensional anisotropic trap for static and dynamic scenarios. The differences between the variances at the mean-field level, which are attributed to the shape of the BEC, and the variances at the many-body level, which incorporate depletion, are used to characterize position, momentum, and angular-momentum correlations in the BEC for finite systems and at the limit of an infinite number of particles where the bosons are $100\%$ condensed. Finally, we also explore inter-connections between the variances.
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Multiconfigurational time-dependent Hartree approaches for indistinguishable particles
The paper is a Colloquium review of the MCTDH-X family of variational wavefunction methods for indistinguishable particles, and it contains no new research result.
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