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arXiv · 1206.1067

Quench from Mott Insulator to Superfluid

Jacek Dziarmaga·Marek Tylutki·Wojciech H. Zurek
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Abstract

We study a linear ramp of the nearest-neighbor tunneling rate in the Bose-Hubbard model driving the system from the Mott insulator state into the superfluid phase. We employ the truncated Wigner approximation to simulate linear quenches of a uniform system in 1,2, and 3 dimensions, and in a harmonic trap in 3 dimensions. In all these setups the excitation energy decays like one over third root of the quench time. The -1/3 scaling arises from an impulse-adiabatic approximation - a variant of the Kibble-Zurek mechanism - describing a crossover from non-adiabatic to adiabatic evolution when the system begins to keep pace with the increasing tunneling rate.

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Jacek Dziarmaga, Marek Tylutki, Wojciech H. Zurek. 2012-06-05. Quench from Mott Insulator to Superfluid. https://doi.org/10.1103/physrevb.86.144521

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