Abstract
The geometric phases of the cyclic states of a generalized harmonic oscillator with nonadiabatic time-periodic parameters are discussed in the framework of a squeezed state. A class of cyclic states is expressed as a superposition of an infinite number of squeezed states. Then their geometric phases are obtained explicitly and found to be -(n + 1/2) times the classical nonadiabatic Hannay angle. It is shown that the analysis based on the squeezed state approach provides a clear picture of the geometric meaning of the quantal phase.
| Original language | English |
|---|---|
| Pages (from-to) | 1749-1753 |
| Number of pages | 5 |
| Journal | Physical Review Letters |
| Volume | 81 |
| Issue number | 9 |
| DOIs | |
| Publication status | Published - 31 Aug 1998 |
Scopus Subject Areas
- General Physics and Astronomy