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.

8 pages, to appear in J. Phys. Soc. Jpn

References in corpus (2)

• Divergence of the entanglement range in low dimensional quantum systems
• Entanglement Entropy in Random Quantum Spin-S Chains

Cited by in corpus (4)

• Enhancing the Detection of Natural Thermal Entanglement with Disorder
• General conditions for the generation of long-distance entanglement
• Thermal coherence of the Heisenberg model with Dzyaloshinsky-Moriya interactions in an inhomogenous external field
• Role of external fields in enhancing long-distance entanglement at finite temperatures