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Journal of the Graduate School of the Chinese Academy of Sciences

Time matrix product state: theory and applications

Cheng Peng, Shi-Ju Ran

Published Nov 15, 2019• 0 citations
Publisher
DOI
10.7523/j.issn.2095-6134.2019.06.004

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We review the basic theory of matrix product states (MPS) as a nu-merical variational ansatz for time evolution, and present two methods to simulate finite temperature systems with MPS: the ancilla method and the minimally entangled typical thermal state method. A sample calculation with the Bose-Hubbard model is provided. The dimension of the Hilbert space for a general many-body system in-creases exponentially with the system size, severely restricting the sizes which are amenable to straightforward numerical study. Several techniques have been developed to deal with this fact, such as the stochastic sam-