Quench from Mott Insulator to Superfluid
Quantum Gases
2012-10-23 v2 Mesoscale and Nanoscale Physics
Statistical Mechanics
Quantum Physics
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.
Cite
@article{arxiv.1206.1067,
title = {Quench from Mott Insulator to Superfluid},
author = {Jacek Dziarmaga and Marek Tylutki and Wojciech H. Zurek},
journal= {arXiv preprint arXiv:1206.1067},
year = {2012}
}
Comments
10 pages, 13 figures; version published in Phys. Rev. B