A ring of BEC pools as a trap for persistent flow

Abstract

Mott insulator - superfluid transition in a periodic lattice of Josephson junctions can be driven by tunneling rate increase. Resulting winding numbers $W$ of the condensate wavefunction decrease with increasing quench time in accord with the Kibble-Zurek mechanism (KZM). However, in very slow quenches Bose-Hubbard dynamics rearranges wavefunction phase so that its random walk cools, $\overline{W^2}$ decreases and eventually the wavefunction becomes too cold to overcome potential barriers separating different $W$. Thus, in contrast with KZM, in very slow quenches $\overline{W^2}$ is set by random walk with "critical" step size, independently of ${\tau }_Q$.

Decompressed version to appear in Phys. Rev. B

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Cited by in corpus (7)

• Subwavelength-width optical tunnel junctions for ultracold atoms
• Topological relics of symmetry breaking: Winding numbers and scaling tilts from random vortex-antivortex pairs
• Quench from Mott Insulator to Superfluid
• Dynamics in multiple-well Bose-Einstein condensates
• Chaos onset in large rings of Bose-Einstein condensates
• Spontaneous currents in a bosonic ring
• Dynamics of the Mott Insulator to Superfluid quantum phase transition in the truncated Wigner approximation