(1) Department of Physics, National University of Singapore, 2 Science Drive 3, Singapore, 117542, Singapore;(2) Nanyang Technological University, National Institute of Education, 1 Nanyang Walk, Singapore, 637616, Singapore
Abstract:
The cyclic evolution of a spin-1 system is studied under thespin-spin interaction between the transverse and the longitudinalstates. The eigenstates of the systems are obtained bygeneralized and extended Jordan-Wigner transformation with anangle described the path of particle propagation.According to the wave functions of time evaluation for many-particle systems, the entanglementeffects and geometric phase are observed. The systems with more than two particles, in contrast to the two particle system, evolve in time with two parameters.