Open AccessKibble-Zurek Scaling with Matrix Product States
Author(s) -
Eric Howard
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/947/1/012012
Subject(s) - thermalisation , physics , scaling , matrix product state , superfluidity , phase diagram , zero temperature , ground state , product (mathematics) , zero (linguistics) , phase transition , statistical physics , condensed matter physics , phase (matter) , matrix multiplication , quantum mechanics , linguistics , philosophy , geometry , mathematics , quantum
We study the dynamics of second-order phase transitions that may have taken place in the early universe and analyze the Kibble-Zurek (KZ) scaling as well as the formation of topological defects emerging from a quench in the one-dimensional Bose-Hubbard model. We describe the universal dynamics of the KZ mechanism (KZM) and the topological defect formation by simulating the Bose–Hubbard model at zero temperature. We study the effects of thermalization on the ground state by analyzing the transition between Mott and superfluid phases. The out-of-equilibrium dynamics induced by a quench of the hopping parameter is presented. We find a KZ scaling behaviour at zero temperature and analyze the KZ dynamics.