Quench from Mott Insulator to Superfluid

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.

10 pages, 13 figures; version published in Phys. Rev. B

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• Universality of Phase Transition Dynamics: Topological Defects from Symmetry Breaking
• Spontaneous creation of Kibble-Zurek solitons in a Bose-Einstein condensate
• Emergence of coherence and the dynamics of quantum phase transitions
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