Uniform Matrix Product State in the Thermodynamic Limit

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.

4 pages, 4 figures

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Cited by in corpus (7)

• Z_3 symmetry-protected topological phases in the SU(3) AKLT model
• Asymptotics of quantum channels: conserved quantities, an adiabatic limit, and matrix product states
• Improved numerical methods for infinite spin chains with long-range interactions
• Effective One-Dimensional Models from Matrix Product States
• Incommensurate Matrix Product State for Quantum Spin Systems
• Quantum Entanglement of Tensor Networks with Symmetry Projections
• Application of Uniform Matrix Product State to Quantum Phase Transition with a Periodicity Change