Local Entanglement and quantum phase transition in spin models

Abstract

Due to the phase interference of electromagnetic wave, one can recover the total image of one object from a small piece of holograph, which records the interference pattern of two laser light reflected from it. Similarly, the quantum superposition principle allows us to derive the global phase diagram of quantum spin models by investigating a proper local measurement. In the present paper, we study the two-site entanglement in the antifferomagnetic spin models with both spin-1/2 and 1. We show that its behaviors reveal some important information on the global properties and the quantum phase transition of these systems.

6 pages, 7 figures

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• The renormalization of entanglement in the anisotropic Heisenberg (XXZ) model
• Simulating Quantum Materials with Digital Quantum Computers
• Quantum Fidelity and Thermal Phase Transitions
• Symmetry breaking effects upon bipartite and multipartite entanglement in the XY model
• Local entanglement and quantum phase transition in 1D transverse field Ising model
• Non-local correlations in the Haldane phase for an XXZ spin-1 chain: A perspective from infinite matrix product state representation
• Quantum renormalization group of XY model in two dimensions
• Multiparticle Entanglement in the Lipkin-Meshkov-Glick Model
• Quantum Entanglement in the S=1/2 Spin Ladder with Ring Exchange
• The ground state of a mixture of two species of fermionic atoms in 1D optical lattice
• Entanglement and magnetic order
• Probing the quantum phase transition in the Dicke model through mechanical vibrations
• Numerical estimation of critical parameters using the Bond entropy
• Quantum phase transition and entanglement in Li atom system
• Numerical studies of entanglement properties in one- and two-dimensional quantum Ising and XXZ models
• Wiseman-Milburn Control for the Lipkin-Meshkov-Glick Model
• Hahn echo and criticality in spin-chain systems
• Entanglement of Hard-Core Bosons in Bipartite Lattices