Hierarchical dimensional crossover of an optically-trapped quantum gas
with disorder
- URL: http://arxiv.org/abs/2205.11007v2
- Date: Mon, 21 Nov 2022 00:22:06 GMT
- Title: Hierarchical dimensional crossover of an optically-trapped quantum gas
with disorder
- Authors: KangKang Li and Zhaoxin Liang
- Abstract summary: This work is to study the hierarchical dimensional crossovers, namely the crossover from 3D to quasi-2D and then to 1D.
We analytically derive the ground-state energy, quantum depletion and the super density of the system.
Our results demonstrate the 3D-quasi-2D-1D dimensional crossovers in the behavior of quantum fluctuations.
- Score: 1.370633147306388
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Dimensionality serves as an indispensable ingredient in any attempt to
formulate the low-dimensional physics, and studying the dimensional crossover
at a fundamental level is challenging. The purpose of this work is to study the
hierarchical dimensional crossovers, namely the crossover from three dimensions
(3D) to quasi-2D and then to 1D. Our system consists of a 3D Bose-Einstein
condensate (BEC) trapped in an anisotropic 2D optical lattice characterized by
the lattice depths $V_1$ along the $x$ direction and $V_2$ along the $y$
direction, respectively, where the hierarchical dimensional crossover is
controlled via $V_1$ and $V_2$. We analytically derive the ground-state energy,
quantum depletion and the superfluid density of the system. Our results
demonstrate the 3D-quasi-2D-1D dimensional crossovers in the behavior of
quantum fluctuations. Conditions for possible experimental realization of our
scenario are also discussed.
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