Chaos, Metastability and Ergodicity in Bose-Hubbard Superfluid Circuits
Geva Arwas, Doron Cohen
TL;DR
This paper investigates how quantum chaos influences superfluidity in Bose-Hubbard rings, revealing limitations of traditional criteria and exploring phenomena like metastability, localization, and potential SQUID applications.
Contribution
It demonstrates the failure of standard superfluidity criteria in low-dimensional circuits and explores the roles of chaos and localization in superfluid dynamics.
Findings
Quantum chaos affects metastable flow states.
Standard criteria fail in low-dimensional circuits.
Many-body localization impacts superfluid behavior.
Abstract
The hallmark of superfluidity is the appearance of metastable flow-states that carry a persistent circulating current. Considering Bose-Hubbard superfluid rings, we clarify the role of "quantum chaos" in this context. We show that the standard Landau and Bogoliubov superfluidity criteria fail for such low-dimensional circuits. We also discuss the feasibility for a coherent operation of a SQUID-like setup. Finally, we address the manifestation of the strong many-body dynamical localization effect.
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