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Quantum Thermodynamics
Uniform Matrix Product State in the Thermodynamic Limit
arXiv
Authors: Hiroshi Ueda, Isao Maruyama, Kouichi Okunishi
Year
2010
Paper ID
10594
Status
Preprint
Abstract Read
~2 min
Abstract Words
92
Citations
N/A
Abstract
We study a uniform matrix product state as a variational state for classical and quantum spin chains in the thermodynamic limit. Under a careful treatment of the translational symmetry, eigen values of the transfer matrix defined in the calculation of expectation values can reflect the periodicity of the ground state and indicate optimum periodicity of the matrix product state. We discuss the relation between the periodicity and accuracy of magnetization curves. This approach is free from the error due to finite system size, which works well especially for the magnetic plateau problem.
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- We study a uniform matrix product state as a variational state for classical and quantum spin chains in the thermodynamic limit.
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