https://doi.org/10.1140/epjd/e2005-00032-x
Geometric phase and entanglement for massive spin-1 particles
1
Department of Physics, National University of Singapore, 2 Science Drive 3, Singapore 117542
2
Nanyang Technological University, National Institute of Education, 1 Nanyang Walk, Singapore 637616
Corresponding author: a scip1251@nus.edu.sg
Received:
15
October
2004
Revised:
28
December
2004
Published online:
5
April
2005
The cyclic evolution of a spin-1 system is studied under the spin-spin interaction between the transverse and the longitudinal states. The eigenstates of the systems are obtained by generalized and extended Jordan-Wigner transformation with an angle ϕ described the path of particle propagation. According to the wave functions of time evaluation for many-particle systems, the entanglement effects 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.
PACS: 03.65.Bz – Foundations, theory of measurement, miscellaneous theories (including Aharonov-Bohm effect, Bell inequalities, Berry's phase) / 03.65.Ud – Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.) / 03.67.Lx – Quantum computation / 07.60.Ly – Interferometers
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2005
