## 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. Explicitly, we study the ground state of the anisotropic harmonic-interaction model in two spatial dimensions analytically and the out-of-equilibrium dynamics of repulsive bosons in tilted two-dimensional annuli numerically accurately by using the multiconfigurational time-dependent Hartree for bosons method. 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.

Original language | English |
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Article number | 1344 |

Number of pages | 22 |

Journal | Symmetry |

Volume | 11 |

Issue number | 11 |

DOIs | |

State | Published - 1 Nov 2019 |

### Bibliographical note

Funding Information:This research was funded by Israel Science Foundation (Grant No. 600/15).

Publisher Copyright:

© 2019 by the authors.

## Keywords

- Angular-momentum variance
- Bose-Einstein condensates
- Density
- Harmonic-interaction model
- MCTDHB
- Momentum variance
- Position variance

## ASJC Scopus subject areas

- Computer Science (miscellaneous)
- Chemistry (miscellaneous)
- General Mathematics
- Physics and Astronomy (miscellaneous)