Separable states and geometric phases of an interacting two-spin system

C. W. Niu, G. F. Xu, Longjiang Liu, L. Kang, D. M. Tong, and L. C. Kwek
Phys. Rev. A 81, 012116 – Published 25 January 2010

Abstract

It is known that an interacting bipartite system evolves as an entangled state in general, even if it is initially in a separable state. Due to the entanglement of the state, the geometric phase of the system is not equal to the sum of the geometric phases of its two subsystems. However, there may exist a set of states in which the nonlocal interaction does not affect the separability of the states, and the geometric phase of the bipartite system is then always equal to the sum of the geometric phases of its subsystems. In this article, we illustrate this point by investigating a well-known physical model. We give a necessary and sufficient condition in which a separable state remains separable so that the geometric phase of the system is always equal to the sum of the geometric phases of its subsystems.

  • Received 28 October 2009

DOI:https://doi.org/10.1103/PhysRevA.81.012116

©2010 American Physical Society

Authors & Affiliations

C. W. Niu, G. F. Xu, Longjiang Liu, L. Kang, and D. M. Tong*

  • Department of Physics, Shandong University, Jinan 250100, People’s Republic of China

L. C. Kwek

  • Center for Quantum Technologies, National University of Singapore, Science Drive 2 Singapore 117543 and Institute of Advanced Studies, Nanyang Technological University, 60 Nanyang View Singapore 639673

  • *tdm@sdu.edu.cn

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Issue

Vol. 81, Iss. 1 — January 2010

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