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. First we 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.
5 More- Received 17 August 2018
DOI:https://doi.org/10.1103/PhysRevA.98.063601
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