(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.
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.