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arXiv · 1808.04649

Kibble-Zurek scaling of the one-dimensional Bose-Hubbard model at finite temperatures

Werner Weiss·Matthias Gerster·Daniel Jaschke·Pietro Silvi·Simone Montangero
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Abstract

We use tensor network methods - Matrix Product States, Tree Tensor Networks, and Locally Purified Tensor Networks - to simulate the one dimensional Bose-Hubbard model for zero and finite temperatures in experimentally accessible regimes. We first explore the effect of thermal fluctuations on the system ground state by characterizing its Mott and superfluid features. Then, we study the behavior of the out-of-equilibrium dynamics induced by quenches of the hopping parameter. We confirm a Kibble-Zurek scaling for zero temperature and characterize the finite temperature behavior, which we explain by means of a simple argument.

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Werner Weiss, Matthias Gerster, Daniel Jaschke, Pietro Silvi, Simone Montangero. 2018-11-13. Kibble-Zurek scaling of the one-dimensional Bose-Hubbard model at finite temperatures. https://doi.org/10.1103/physreva.98.063601

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