Dynamics of Entanglement for One-Dimensional Spin Systems in an External Time-Dependent Magnetic Field

Details Dynamics of Entanglement for One-Dimensional Spin Systems in an External Time-Dependent Magnetic Field Dynamics of Entanglement for One-Dimensional Spin Systems in an External Time-Dependent Magnetic Field

2005-05-13

arxiv.org/abs/quant-ph/0505101v1

Physics

Quantum Physics

26 pages, 11 figures

Scientific paper

We study the dynamics of entanglement for the XY-model, one-dimensional spin systems coupled through nearest neighbor exchange interaction and subject to an external time-dependent magnetic field. Using the two-site density matrix, we calculate the time-dependent entanglement of formation between nearest neighbor qubits. We investigate the effect of varying the temperature, the anisotropy parameter and the external time-dependent magnetic field on the entanglement. We have found that the entanglement can be localized between nearest neighbor qubits for certain values of the external time-dependent magnetic field. Moreover, as known for the magnetization of this model, the entanglement shows nonergodic behavior, it does not approach its equilibrium value at the infinite time limit.

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