Entanglement, avoided crossings and quantum chaos in an Ising model with a tilted magnetic field

Abstract

We study a one-dimensional Ising model with a magnetic field and show that tilting the field induces a transition to quantum chaos. We explore the stationary states of this Hamiltonian to show the intimate connection between entanglement and avoided crossings. In general entanglement gets exchanged between the states undergoing an avoided crossing with an overall enhancement of multipartite entanglement at the closest point of approach, simultaneously accompanied by diminishing two-body entanglement as measured by concurrence. We find that both for stationary as well as nonstationary states, nonintegrability leads to a destruction of two-body correlations and distributes entanglement more globally.

arXiv commentCorrections in two figure captions and one new reference. To appear in Phys. Rev. A

References in corpus (39)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Entanglement of a Pair of Quantum Bits
• Entanglement in quantum critical phenomena
• Scaling of Entanglement close to a Quantum Phase Transitions
• Entanglement in a simple quantum phase transition
• Global entanglement in multiparticle systems
• Entangled Rings
• Thermal concurrence mixing in a 1D Ising model
• On general relation between quantum ergodicity and fidelity of quantum dynamics
• Testing statistical bounds on entanglement using quantum chaos
• Entangling power of quantized chaotic systems
• Is efficiency of classical simulations of quantum dynamics related to integrability?
• Dynamical aspects of quantum entanglement for weakly coupled kicked tops
• Entangling power of the quantum baker's map
• Entanglement production in coupled chaotic systems : Case of the Kicked Tops
• Entanglement versus chaos in disordered spin chains
• The Entanglement of Superpositions
• Multipartite Entanglement in a One-Dimensional Time Dependent Ising Model
• Semiclassical time-evolution of the reduced density matrix and dynamically assisted generation of entanglement for bipartite quantum systems
• Exact time-correlation functions of quantum Ising chain in a kicking transversal magnetic field
• Entanglement Across a Transition to Quantum Chaos
• Entanglement sharing in one-particle states
• Fidelity and Purity Decay in Weakly Coupled Composite Systems
• Multipartite entanglement in quantum spin chains
• Entanglement dynamics in chaotic systems
• Saturation of the production of quantum entanglement between weakly coupled mapping systems in strongly chaotic region
• Thermal entanglement properties of small spin clusters
• Global entangling properties of the coupled kicked tops
• Entanglement sharing among qudits
• Entanglement Generation of Nearly-Random Operators
• Changes in Floquet state structure at avoided crossings: delocalization and harmonic generation
• Entanglement generation by adiabatic navigation in the space of symmetric multi-particle states
• Transport of Entanglement Through a Heisenberg-XY Spin Chain
• Mode entanglement of electrons in the one-dimensional Frenkel-Kontorova model
• Evolution of entanglement under echo dynamics
• Entangled spin clusters: some special features
• Bipartite entanglement and localization of one-particle states
• Direct versus measurement assisted bipartite entanglement in multi-qubit systems and their dynamical generation in spin systems
• Chaos assisted adiabatic passage

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