Competition between Vortex Unbinding and Tunneling in an Optical Lattice
M. A. Cazalilla, A. Iucci, and T. Giamarchi

TL;DR
This paper investigates the competition between vortex unbinding and tunneling in 2D Bose gases within an optical lattice, identifying a deconfinement transition characterized by coherence and superfluidity signatures.
Contribution
It introduces a detailed analysis of the deconfinement transition driven by tunneling in 2D Bose gases in optical lattices, linking interference patterns and rotational response to superfluidity.
Findings
Identification of a deconfinement transition with increased tunneling
Signature of transition in interference patterns
Measurement of superfluidity via rotational response
Abstract
We study a system of two-dimensional Bose gases trapped in minima of a deep one-dimensional optical lattice potential. Increasing the tunneling amplitude between adjacent gases drives a deconfinement transition to a phase where coherence is established between neighboring two-dimensional gases. We compute the signature of this transition in the interference pattern of the system as well as in its rotational response, which provides a direct measurement of the superfluidity in the system.
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