Physics – Condensed Matter – Quantum Gases
Scientific paper
2011-03-03
Phys. Rev. B 84, 094528 (2011)
Physics
Condensed Matter
Quantum Gases
Decompressed version to appear in Phys. Rev. B
Scientific paper
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, $\bar{W^2}$ decreases and eventually the wavefunction becomes too cold to overcome potential barriers separating different $W$. Thus, in contrast with KZM, in very slow quenches $\bar{W^2}$ is set by random walk with "critical" step size, independently of $\tau_Q$.
Dziarmaga Jacek
Tylutki Marek
Zurek Wojciech H.
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