https://doi.org/10.1140/epjd/e2004-00095-1
Generalized two-mode harmonic oscillator model: squeezed number state solutions and nonadiabatic Berry's phase
1
Beijing Information Technology Institute, Beijing 100101, P.R. China
2
Laboratory of Computational Physics, Institute of Applied Physics and
Computational Mathematics, Beijing 100088, P.R. China
3
Department of Applied Physics, School of Science, Beijing University
of Aeronautics and Astronautics, Beijing 100083, P.R. China
Corresponding author: a xiebinghao@eyou.com
Received:
17
November
2003
Revised:
16
January
2004
Published online:
10
August
2004
A generalized two-mode harmonic oscillator model is investigated within the framework of its general dynamical algebra so(3,2). Two types of eigenstates, formulated as extended su(1,1), su(2) squeezed number states are found respectively. The nonadiabatic Berry's phase for this system with the cranked time-dependent Hamiltonian is also given.
PACS: 42.50.Dv – Nonclassical states of the electromagnetic field, including entangled photon states; quantum state engineering and measurements / 03.65.Fd – Algebraic methods / 03.65.Vf – Phases: geometric; dynamic or topological
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2004
