Phase boundaries in alternating field quantum XY model with Dzyaloshinskii-Moriya interaction: Sustainable entanglement in dynamics

Abstract

We report all phases and corresponding critical lines of the quantum anisotropic transverse XY model with Dzyaloshinskii-Moriya (DM) interaction along with uniform and alternating transverse magnetic fields (ATXY) by using appropriately chosen order parameters. We prove that when DM interaction is weaker than the anisotropy parameter, it has no effect at all on the zero-temperature states of the XY model with uniform transverse magnetic field which is not the case for the ATXY model. However, when DM interaction is stronger than the anisotropy parameter, we show appearance of a new gapless phase - a chiral phase - in the XY model with uniform as well as alternating field. We further report that first derivatives of nearest neighbor two-site entanglement with respect to magnetic fields can detect all the critical lines present in the system. We also observe that the factorization surface at zero-temperature present in this model without DM interaction becomes a volume on the introduction of the later. We find that DM interaction can generate bipartite entanglement sustainable at large times, leading to a proof of ergodic nature of bipartite entanglement in this system, and can induce a transition from non-monotonicity of entanglement with temperature to a monotonic one.

19 pages, 14 figures

References in corpus (44)

• Non-Abelian Anyons and Topological Quantum Computation
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Quantum computing with trapped ions
• 14-qubit entanglement: creation and coherence
• Fault-tolerant quantum computation with high threshold in two dimensions
• Topological fault-tolerance in cluster state quantum computation
• DMRG and periodic boundary conditions: a quantum information perspective
• Quench dynamics across quantum critical points
• Topological classification of dynamical phase transitions
• Quantum discord and its allies: a review
• Experimental demonstration of topological error correction
• Benchmarking quantum control methods on a 12-qubit system
• Bose Hubbard Models with Synthetic Spin-Orbit Coupling: Mott Insulators, Spin Textures and Superfluidity
• Entropy of entanglement and correlations induced by a quench: Dynamics of a quantum phase transition in the quantum Ising model
• Phase Diagram and Entanglement of Ising Model With Dzyaloshinskii-Moriya Interaction
• Entanglement and Quantum Phase Transition Revisited
• First order dynamical phase transitions
• Entanglement and factorized ground states in two-dimensional quantum antiferromagnets
• Divergence of the entanglement range in low dimensional quantum systems
• Energy as an Entanglement Witness for Quantum Many-Body Systems
• Theory of ground state factorization in quantum cooperative systems
• Quantum Information Processing in Optical Lattices and Magnetic Microtraps
• Quenching along a gapless line: A different exponent for defect density
• Separability and ground state factorization in quantum spin systems
• Entanglement in a periodic quench
• Factorization and Criticality in the Anisotropic XY Chain via Correlations
• Quantum Phases of Trapped Ions in an Optical Lattice
• Entanglement of finite cyclic chains at factorizing fields
• Spin wave spectrum of the quantum ferromagnet on the pyrochlore lattice Lu2V2O7
• Enhancement of entanglement transfer in a spin chain by phase shift-control
• Dynamic probes of quantum spin chains with the Dzyaloshinskii-Moriya interaction
• Dissipationless Multiferroic Magnonics
• Broken parity and a chiral ground state in the frustrated magnet CdCr2O4
• Exploiting Quench Dynamics in Spin Chains for Distant Entanglement and Quantum Communication
• Two-spin entanglement distribution near factorized states
• Ground-state factorization and quantum phase transition in dimerized spin chains
• Induced effects of the Dzyaloshinskii-Moriya interaction on the thermal entanglement in spin-1/2 Heisenberg chains
• Effects of the Dzyaloshinsky-Moriya interaction on nonequilibrium thermodynamics in the $XY$ chain in a transverse field
• Factorization and criticality in finite XXZ systems of arbitrary spin
• Quantum correlations in the 1D spin-1/2 Ising model with added Dzyaloshinskii-Moriya interaction
• The entanglement in one-dimensional random XY spin chain with Dzyaloshinskii-Moriya interaction
• Quantum phase transitions and string orders in the spin-1/2 Heisenberg-Ising alternating chain with Dzyaloshinskii-Moriya interaction
• Emergence of entanglement with temperature and time in factorization-surface states

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• Detecting exceptional points through dynamics in non-Hermitian systems
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• Separability and parity transitions in $XYZ$ spin systems under nonuniform fields
• Field-Induced Ordered Phases in Anisotropic Spin-1/2 Kitaev Chains
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