Dynamics of geometric phase for composite quantum system under nonlocal unitary transformation: a case study of dimer system
1 School of Physics, Shandong
2 Department of Physics and Information Engineering, Jining University, Qufu 273155, P.R. China
Received in final form: 10 May 2013
Published online: 12 September 2013
In this paper, we explore the dynamical properties of geometric phase for a composite quantum system under the nonlocal unitary evolution. As an illustrative example, the analytical expressions of geometric phase are derived for the dimer system. We find that geometric phase presents some interesting properties with coupling strengths (corresponding to nonlocal unitary evolution), such as dynamical oscillation behavior with time evolution, monotonicity, symmetry, etc. We show that the geometric phase and entanglement have the same period for some conditions. Moreover, we discuss geometric phase of the whole system and its subsystems. Our investigations show that geometric phase can reflect some inherent properties of the system: it signals a transition from self-trapping to delocalization.
Key words: Quantum Information
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag 2013