Entanglement production due to quench dynamics of an anisotropic XY chain in a transverse field
arXiv:0904.1059 · doi:10.1103/PhysRevA.80.032304
Abstract
We compute concurrence and negativity as measures of two-site entanglement generated by a power-law quench (characterized by a rate 1/tau and an exponent alpha) which takes an anisotropic XY chain in a transverse field through a quantum critical point (QCP). We show that only the even-neighbor pairs of sites get entangled in such a process. Moreover, there is a critical rate of quench, 1/tau_c, above which no two-site entanglement is generated; the entire entanglement is multipartite. The ratio of the two-site entanglements between consecutive even neighbors can be tuned by changing the quench rate. We also show that for large tau, the concurrence (negativity) scales as sqrt{alpha/tau} (alpha/tau), and we relate this scaling behavior to defect production by the quench through a QCP.
5 pages including 4 figures; added a figure on multipartite entanglement and some references -- this is the published version
References in corpus (23)
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Universal adiabatic dynamics across a quantum critical point
- Quantum Phase Transitions and Bipartite Entanglement
- Supplementary Information to the paper ``Breakdown of the adiabatic limit in low dimensional gapless systems''
- Breakdown of the adiabatic limit in low dimensional gapless systems
- Defect production in non-linear quench across a quantum critical point
- Exact results for quench dynamics and defect production in a two-dimensional model
- Entropy of entanglement and correlations induced by a quench: Dynamics of a quantum phase transition in the quantum Ising model
- Quenching Dynamics of a quantum XY spin-1/2 chain in presence of a transverse field
- Optimal non-linear passage through a quantum critical point
- Quantum dynamics and entanglement of spins on a square lattice
- Scaling of entanglement between separated blocks in spin chains at criticality
- Universal geometric entanglement close to quantum phase transitions
- Quench dynamics and defect production in the Kitaev and extended Kitaev models
- Quenching along a gapless line: A different exponent for defect density
- Defect production due to quenching through a multicritical point
- Theory of defect production in nonlinear quench across a quantum critical point
- Adiabatic quenches through an extended quantum critical region
- Entanglement entropy and multifractality at localization transitions
- Exploiting Quench Dynamics in Spin Chains for Distant Entanglement and Quantum Communication
- Spin-1/2 Heisenberg ladder: variation of entanglement and fidelity measures close to quantum critical points
- Entanglement and fidelity signatures of quantum phase transitions in spin liquid models
- Frustration, Area Law, and Interference in Quantum Spin Models
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