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arXiv · 1301.0846

Dynamics of the Mott Insulator to Superfluid quantum phase transition in the truncated Wigner approximation

Marek Tylutki·Jacek Dziarmaga·Wojciech H. Zurek
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Abstract

The quantum phase transition from the Mott insulator state to the superfluid in the Bose-Hubbard model is investigated. We research one, two and three dimensional lattices in the truncated Wigner approximation. We compute both kinetic and potential energy and they turn out to have a power law behaviour as a function of the transition rate, with the power equal to 1/3. The same applies to the total energy in a system with a harmonic trap, which is usually present in the experimental set-up. These observations are in agreement with the experiment of [8], where such scalings were also observed and the power of the decay was numerically close to 1/3. The results confirm the Kibble-Zurek (adiabatic-impulse-adiabatic approximation) scenario for this transition.

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Marek Tylutki, Jacek Dziarmaga, Wojciech H. Zurek. 2013-01-04. Dynamics of the Mott Insulator to Superfluid quantum phase transition in the truncated Wigner approximation. https://doi.org/10.1088/1742-6596/414/1/012029

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