Ground-state factorization and quantum phase transition in dimerized spin chains

Abstract

We study the occurrence of ground-state factorization in dimerized $XY$ spin chains in a transverse field. Together with the usual ferromagnetic and antiferromagnetic regimes, a third case emerges, with no analogous in translationally-invariant systems, consisting of an antiferromagnetic Neél-type ground state where pairs of spins represent the unitary cell. Then, we calculate the exact solution of the model and show that the factorizing field represent an accidental degeneracy point of the Hamiltonian. Finally, we extend the study of the existence of ground-state factorization to a more general class of models.

References in corpus (10)

• Entanglement in quantum critical phenomena
• Scaling of Entanglement close to a Quantum Phase Transitions
• Entanglement in a simple quantum phase transition
• Studying quantum spin systems through entanglement estimators
• Entanglement and factorized ground states in two-dimensional quantum antiferromagnets
• Divergence of the entanglement range in low dimensional quantum systems
• Theory of ground state factorization in quantum cooperative systems
• Entanglement of finite cyclic chains at factorizing fields
• Regularly alternating spin-1/2 anisotropic XY chains: The ground-state and thermodynamic properties
• The anisotropic XY model on the inhomogeneous periodic chain

Cited by in corpus (37)

• Quantum coherence and uncertainty in the anisotropic XY chain
• Separability and ground state factorization in quantum spin systems
• Factorization and Criticality in the Anisotropic XY Chain via Correlations
• Landau-Zener topological quantum state transfer
• Ground state factorization and correlations with broken symmetry
• Criticality, factorization and long-range correlations in the anisotropic XY-model
• Spontaneous PT symmetry breaking and quantum phase transitions in dimerized spin chains
• Quantum discord in the ground state of spin chains
• Factorization and entanglement in general XYZ spin arrays in non-uniform transverse fields
• Separability and entanglement in finite dimer-type chains in general transverse fields
• Static and dynamical quantum correlations in phases of an alternating field XY model
• Factorization and criticality in finite XXZ systems of arbitrary spin
• Entanglement and magnetic order
• Phase boundaries in alternating field quantum XY model with Dzyaloshinskii-Moriya interaction: Sustainable entanglement in dynamics
• Quantum discord in a spin system with symmetry breaking
• Chern number in Ising models with spatially modulated real and complex fields
• Factorized ground state for a general class of ferrimagnets
• Non-transverse factorizing fields and entanglement in finite spin systems
• Control of entanglement transitions in quantum spin clusters
• Factorization in XYZ spin systems under general fields and separable ground state engineering
• Ion-trap simulation of the quantum phase transition in an exactly solvable model of spins coupled to bosons
• Detection of unbroken phase of non-Hermitian system via Hermitian factorization surface
• Discrete and generalized phase space techniques in critical quantum spin chains
• Exact energy spectrum of a two-temperature kinetic Ising model
• Disentanglement, disorder lines, and Majorana edge states in a solvable quantum chain
• Emergence of entanglement with temperature and time in factorization-surface states
• Generalized mean field description of entanglement in dimerized spin systems
• Genuine correlations in finite-size spin systems
• Separability and parity transitions in $XYZ$ spin systems under nonuniform fields
• Principal Component Analysis of Diffuse Magnetic Scattering: a Theoretical Study
• Pair entanglement in dimerized spin-s chains
• Ground state separability and criticality in interacting many-particle systems
• Diagonal entropy in many-body systems: Volume effect and quantum phase transitions
• Entanglement and symmetry effects in the transition to the Schroedinger cat regime
• Covariance-based method for eigenstate factorization and generalized singlets
• Quantum-classical equivalence and ground-state factorization
• Unveiling hidden features of the Kitaev model through a complex-network analysis