Probing Mott lobes via the AC Josephson effect
M.X. Huo, Ying Li, Z. Song, C.P. Sun
TL;DR
This paper investigates the AC Josephson effect in coupled Bose Hubbard models to propose a method for experimentally probing Mott lobes associated with quantum phase transitions.
Contribution
It introduces a novel approach to measure Mott lobes using the AC Josephson effect in a weakly coupled Bose Hubbard system.
Findings
Amplitude of Josephson current relates to superfluid order parameters.
Chemical potential-current relation derived for small systems.
Proposes an experimental scheme to observe Mott lobes.
Abstract
The alternating-current (AC) Josephson effect is studied in a system consisting of two weakly coupled Bose Hubbard models. In the framework of the mean field theory, Gross-Pitaevskii equations show that the amplitude of the Josephson current is proportional to the product of superfluid order parameters. In addition, the chemical potential--current relation for a small size system is obtained via the exact numerical computation. This allows us to propose a feasible experimental scheme to measure the Mott lobes of the quantum phase transition.
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Taxonomy
TopicsPhysics of Superconductivity and Magnetism · Atomic and Subatomic Physics Research · Complex Systems and Time Series Analysis