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

2005/05/13 by Zhen Huang, Sabre Kais, Huang, Zhen +1
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Neural Networks and Reservoir Computing #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum many-body systems #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0505101

26 pages, 11 figures

arxiv created 2005/05/13 · openalex publication_date 2005/05/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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