Matrix product state approach for a quantum system at finite temperatures using random phases and Trotter gates
Shimpei Goto,
Ryui Kaneko,
Ippei Danshita
Abstract:We develop a numerical method based on matrix product states for simulating quantum manybody systems at finite temperatures without importance sampling and evaluate its performance in spin 1/2 systems. Our method is an extension of the random phase product state (RPPS) approach introduced recently [T. Iitaka, arXiv:2006.14459]. We show that the original RPPS approach often gives unphysical physical values for thermodynamic quantities even in the Heisenberg chain. We find that by adding the operation of Trotter… Show more
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