The entanglement of the XY spin chain in a random magnetic field

Abstract

We investigate the entanglement of the ferromagnetic XY model in a random magnetic field at zero temperature and in the uniform magnetic field at finite temperatures. We use the concurrence to quantify the entanglement. We find that, in the ferromagnetic region of the uniform magnetic field $h$, all the concurrences are \textit{generated} by the random magnetic field and by the thermal fluctuation. In one particular region of $h$, the next-nearest neighbor concurrence is generated by the random field but not at finite temperatures. We also find that the qualitative behavior of the maximum point of the entanglement in the random magnetic field depends on whether the variance of its distribution function is finite or not.

arXiv comment8 pages, to appear in J. Phys. Soc. Jpn

References in corpus (8)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Mixed State Entanglement and Quantum Error Correction
• Entanglement in a simple quantum phase transition
• Natural Thermal and Magnetic Entanglement in 1D Heisenberg Model
• Divergence of the entanglement range in low dimensional quantum systems
• Entanglement crossover close to a quantum critical point
• Entanglement Entropy in Random Quantum Spin-S Chains
• Localized Entanglement in one-dimensional Anderson model

Cited by in corpus (6)

• Enhancing the Detection of Natural Thermal Entanglement with Disorder
• General conditions for the generation of long-distance entanglement
• Concurrence in Disordered Systems
• Thermal coherence of the Heisenberg model with Dzyaloshinsky-Moriya interactions in an inhomogenous external field
• Response of entanglement to annealed vis-à-vis quenched disorder in quantum spin models
• Role of external fields in enhancing long-distance entanglement at finite temperatures