Nonergodicity of entanglement and its complementary behavior to magnetization in infinite spin chain

Abstract

We consider the problem of the validity of a statistical mechanical description of two-site entanglement in an infinite spin chain described by the XY model Hamiltonian. We show that the two-site entanglement of the state, evolved from the initial equilibrium state, after a change of the magnetic field, does not approach its equilibrium value. This suggests that two-site entanglement, like (single-site) magnetization, is a nonergodic quantity in this model. Moreover we show that these two nonergodic quantities behave in a complementary way.

4 pages, 2 eps figures, RevTeX4; v2: Published version

References in corpus (3)

• Entanglement versus Correlations in Spin Systems
• Diverging Entanglement Length in Gapped Quantum Spin Systems
• Quantum computation with cold bosonic atoms in an optical lattice

Cited by in corpus (21)

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Evolution of Entanglement Entropy in One-Dimensional Systems
• Quantum discord and its allies: a review
• Dynamical non-ergodic scaling in continuous finite-order quantum phase transitions
• Nonlocality and entanglement in the XY model
• Dynamical phase transitions and temperature induced quantum correlations in an infinite spin chain
• Integrable quantum many-body sensors for AC field sensing
• Variance squeezing and entanglement of the XX central spin model
• Dynamics of entanglement between two harmonic modes in stable and unstable regimes
• Phase boundaries in alternating field quantum XY model with Dzyaloshinskii-Moriya interaction: Sustainable entanglement in dynamics
• Entanglement robustness in Heisenberg spin chains coupled to dissipative environment at finite temperature
• Tuning entanglement and ergodicity in two-dimensional spin systems using impurities and anisotropy
• Tuning interaction strength leads to ergodic-nonergodic transition of quantum correlations in anisotropic Heisenberg spin model
• Dual quantum-correlation paradigms exhibit opposite statistical-mechanical properties
• Fermion- and spin-counting in strongly correlated systems in and out of thermal equilibrium
• Survival of time-evolved correlations depends on whether quenching is across critical point in XY spin chain
• Probing the Possibilities of Ergodicity in the 1D Spin-1/2 XY Chain with Quench Dynamics
• Emergence of entanglement with temperature and time in factorization-surface states
• Entanglement generation resonances in XY chains
• Infinite qubit rings with maximal nearest neighbor entanglement: the Bethe ansatz solution
• Ergodicity from Nonergodicity in Quantum Correlations of Low-dimensional Spin Systems