Bilinear-biquadratic spin-1 rings: an SU(2)-symmetric MPS algorithm for periodic boundary conditions

Abstract

An efficient algorithm for SU(2) symmetric matrix product states (MPS) with periodic boundary conditions (PBC) is proposed and implemented. It is applied to a study of the spectrum and correlation properties of the spin-1 bilinear-biquadratic Heisenberg model. We characterize the various phases of this model by the lowest states of the spectrum with angular momentum J = 0, 1, 2 for systems of up to 100 spins. Furthermore, we provide precision results for the dimerization correlator as well as the string correlator.

arXiv comment17 pages, 9 figures, 4 tables, improved numbers, new references added

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• Finite Size Scaling at the Topological Transition: Bilinear-Biquadratic Spin-1 Chain
• Bilinear-biquadratic spin-1 model in the Haldane and dimerized phases
• Dimerization in ultracold spinor gases with Zeeman splitting
• Comparative Dynamical Study of a Bound Entangled State
• Quantum criticality and emergent orders in the spin-1 bilinear-biquadratic-Kitaev chain
• Goldstone modes and the golden spiral in the ferromagnetic spin-1 biquadratic model