Dynamics of Entanglement for OneDimensional Spin Systems in an External TimeDependent Magnetic Field
Abstract
We study the dynamics of entanglement for the XYmodel, onedimensional spin systems coupled through nearest neighbor exchange interaction and subject to an external timedependent magnetic field. Using the twosite density matrix, we calculate the timedependent entanglement of formation between nearest neighbor qubits. We investigate the effect of varying the temperature, the anisotropy parameter and the external timedependent magnetic field on the entanglement. We have found that the entanglement can be localized between nearest neighbor qubits for certain values of the external timedependent 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.
 Publication:

arXiv eprints
 Pub Date:
 May 2005
 DOI:
 10.48550/arXiv.quantph/0505101
 arXiv:
 arXiv:quantph/0505101
 Bibcode:
 2005quant.ph..5101H
 Keywords:

 Quantum Physics
 EPrint:
 26 pages, 11 figures