Entanglement versus chaos in disordered spin chains
arXiv:quant-ph/0310177 · doi:10.1103/PhysRevA.69.042304
Abstract
We use a Heisenberg spin-1/2 chain to investigate how chaos and localization may affect the entanglement of pairs of qubits. To measure how much entangled a pair is, we compute its concurrence, which is then analyzed in the delocalized/localized and in the chaotic/non-chaotic regimes. Our results indicate that chaos reduces entanglement and that entanglement decreases in the region of strong localization. In the transition region from a chaotic to a non-chaotic regime localization increases entanglement. We also show that entanglement is larger for strongly interacting qubits (nearest neighbors) than for weakly interacting qubits (next and next-next neighbors).
7 pages, 4 figures, RevTex4, Published version
References in corpus (20)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
- Experimental quantum teleportation
- Mixed State Entanglement and Quantum Error Correction
- Concentrating Partial Entanglement by Local Operations
- Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
- Entanglement of a Pair of Quantum Bits
- Random Matrix Theories in Quantum Physics: Common Concepts
- Quantifying Entanglement
- Limits for entanglement measures
- Statistical Inference, Distinguishability of Quantum States, And Quantum Entanglement
- Emergence of quantum chaos in finite interacting Fermi systems
- Quantum Chaos Border for Quantum Computing
- Testing statistical bounds on entanglement using quantum chaos
- Entanglement in quantum computers described by the XXZ model with defects
- Remarks on the Atiyah-Hitchin metric
- Dynamics of entanglement in quantum computers with imperfections
- Entanglement versus relaxation and decoherence in a quantum algorithm for quantum chaos
- Two-particle localization and antiresonance in disordered spin and qubit chains
- Antiresonance and interaction-induced localization in spin and qubit chains with defects
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- Many body localization in Heisenberg XXZ magnet in a random field
- On Many-Body Localization for Quantum Spin Chains
- Quantum Chaos and Thermalization in Isolated Systems of Interacting Particles
- The Ergodic Side of the Many-Body Localization Transition
- Diagonalization and Many-Body Localization for a Disordered Quantum Spin Chain
- Thouless time analysis of Anderson and many-body localization transitions
- Decoherence, Entanglement and Irreversibility in Quantum Dynamical Systems with Few Degrees of Freedom
- Dynamics at the Many-Body Localization Transition
- Challenges to observation of many-body localization
- Many-Body Localization in the Age of Classical Computing
- Generic dynamical features of quenched interacting quantum systems: Survival probability, density imbalance and out-of-time-ordered correlator
- Memory-keeping effects and forgetfulness in the dynamics of a qubit coupled to a spin chain
- Extended nonergodic states in disordered many-body quantum systems
- Entanglement, avoided crossings and quantum chaos in an Ising model with a tilted magnetic field
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- Quantum Chaos, Delocalization, and Entanglement in Disordered Heisenberg Models
- Dynamical Manifestations of Quantum Chaos: Correlation Hole and Bulge
- Thermal Entanglement between Alternate Qubits of a Four-qubit Heisenberg XX Chain in a Magnetic Field
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- Local control of entanglement in a spin chain
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- Stability of many-body localization in Floquet systems
- Realistic many-body quantum systems vs full random matrices: static and dynamical properties
- Interplay between interaction and (un)correlated disorder in one-dimensional many-particle systems: delocalization and global entanglement
- Entanglement and dynamics of spin-chains in periodically-pulsed magnetic fields: accelerator modes
- Generalized entanglement as a framework for complex quantum systems: Purity vs delocalization measures
- Transport and Control in One-Dimensional Systems
- Self-averaging in many-body quantum systems out of equilibrium: Chaotic systems
- Entanglement localization by a single defect in a spin chain
- Many-body localization transition in large quantum spin chains: The mobility edge
- Constraints induced delocalization
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- Disorder overtakes Order in Information Concentration over Quantum Networks
- Self-averaging in many-body quantum systems out of equilibrium. II. Approach to the localized phase
- Enhancement of Quantum Correlation Length in Quenched Disordered Spin Chains
- Decay of a Thermofield-Double State in Chaotic Quantum Systems
- Transport Control in Low-Dimensional Spin-1/2 Heisenberg Systems
- Entanglement dynamics for two interacting spins
- Catching thermal avalanches in the disordered XXZ model
- Signatures of chaos and thermalization in the dynamics of many-body quantum systems
- Multipartite entanglement generation and fidelity decay in disordered qubit systems
- Detecting ergodic bubbles at the crossover to many-body localization using neural networks
- Proposal for many-body quantum chaos detection
- Beating no-go theorems by engineering defects in quantum spin models
- Self-averaging in many-body quantum systems out of equilibrium: Time dependence of distributions
- Effects of the interplay between interaction and disorder in bipartite entanglement
- Many-body localization transition through pairwise correlations
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- Identification of quantum scars via phase-space localization measures
- The two-body random spin ensemble and a new type of quantum phase transition
- Quantum Chaos in the Heisenberg Spin Chain: the Effect of Dzyaloshinskii-Moriya Interaction
- Constructive Interference Between Disordered Couplings Enhances Multiparty Entanglement in Quantum Heisenberg Spin Glass Models
- Quench Dynamics of Entanglement in an Opened Anisotropic Spin-1/2 Heisenberg Chain
- Many-Body Localization: Transitions in Spin Models
- On intermediate statistics across many-body localization transition
- Reducing dynamical fluctuations and enforcing self-averaging by opening many-body quantum systems
- Entanglement Mean Field Theory and the Curie-Weiss Law
- Ground-state energy distribution of disordered many-body quantum systems
- Phenomenology of many-body localization in bond-disordered spin chains
- Quantifying operator spreading and chaos in Krylov subspaces with quantum state reconstruction
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- Nonequilibrium many-body quantum dynamics: from full random matrices to real systems
- Glassy disorder-induced effects in noisy dynamics of Bose-Hubbard and Fermi-Hubbard systems
- Persistent entanglement in a class of eigenstates of quantum Heisenberg spin glasses
- Chaos enhancement in large-spin chains
- Decoherence of one-dimensional flying qubits due to their cross-talk and imperfections
- Entanglement production in the Sachdev-Ye-Kitaev Model and its variants
- Entanglement dynamics of spins using a few complex trajectories