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Berry's phase under Dzyaloshinskii-Moriya interaction
Author
Kwan, Mun Kit
Supervisor
Kwek, Leong Chuan
Abstract
In this manuscript, we study the Dzyaloshinkii-Moriya(DM) Anisotropic XX- spin chain model in the presence of an external homogeneous magnetic field applied to one site in a bipartite system. We found that the Berry phase of the system vary interestingly with small and large amount of DM interaction and the magnetic field. The results have potential implementation in quantum logic gate control. Next, we calculate the Berry phase of the thermal states and verify that the results are consistent with that of pure states. In addition, we also considered the concurrence (i.e. the amount of entanglement) of the system, and the relationship between concurrence and the Berry phase.
Date Issued
2009
Call Number
QC761.5 Kwa
Date Submitted
2009