Berry's phase under the Dzyaloshinskii-Moriya interaction

Berry’s phase under the Dzyaloshinskii-Moriya interaction

M. K. Kwan, Zeynep Nilhan Gurkan, and L. C. Kwek

Phys. Rev. A 77, 062311 – Published 9 June 2008

Abstract

In this paper, we study the Dzyaloshinskii-Moriya (DM) anisotropic $X X$ spin-chain model in the presence of an external homogeneous magnetic field. We found that the Berry phase of the system varies interestingly with small and large amounts of DM interaction and the magnetic field. In addition, we also considered the concurrence (i.e., the amount of entanglement) of the system, and the relationship between the concurrence and the Berry phase. Finally, we calculate the Berry phase of thermal states and verify that the results are consistent with that of the pure states.

Received 11 February 2008

DOI:https://doi.org/10.1103/PhysRevA.77.062311

Authors & Affiliations

M. K. Kwan¹, Zeynep Nilhan Gurkan², and L. C. Kwek^3,4

¹National Institute of Education, Nanyang Technological University, 1 Nanyang Walk, Singapore 637616, Singapore
²Department of Mathematics, Izmir Institute of Technology, Urla-Izmir, 35430, Turkey
³Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543, Singapore
⁴Institute of Advanced Studies (IAS), Nanyang Technological University, 60 Nanyang View, Singapore 639673, Singapore

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Issue

Vol. 77, Iss. 6 — June 2008

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