Symmetries and entanglement in the one-dimensional spin-1/2 XXZ model

Abstract

An efficient and stable algorithm for U(1) symmetric matrix product states (MPS) with periodic boundary conditions (PBC) is proposed. It is applied to a study of correlation and entanglement properties of the eigenstates of the spin-1/2 XXZ model with different spin projections. Convergence properties and accuracy of the algorithm are studied in detail.

10 pages, 4 figures, 4 tables

References in corpus (4)

• The density-matrix renormalization group in the age of matrix product states
• DMRG and periodic boundary conditions: a quantum information perspective
• From density-matrix renormalization group to matrix product states
• Tensor network states and algorithms in the presence of a global U(1) symmetry

Cited by in corpus (5)

• Spin-1/2 XXZ Heisenberg chain in a longitudinal magnetic field
• Bilinear-biquadratic spin-1 rings: an SU(2)-symmetric MPS algorithm for periodic boundary conditions
• Dimerization in ultracold spinor gases with Zeeman splitting
• First-principle construction of U(1) symmetric matrix product states
• Magnetic plateaus and jumps in a spin-1/2 ladder with alternate Ising-Heisenberg rungs: a field dependent study