AHARONOV-ANANDAN PHASE AND SUPERADIABATIC APPROXIMATION

作者:XU JB*; XU DH; GAO XC
来源:Communications in Theoretical Physics, 1993, 19(4): 391-394.

摘要

In this paper, the exact evolving state for a two-level quantum system is found by making use of the Lewis-Riesenfeld invariant theory. In principle, the correction to an arbitrary order in the adiabatic approximation parameter epsilon can be obtained from this exact evolving state. To the n-th order in epsilon, it is shown that the exact evolving state reduces to the superadiabatic basis introduced by Berry recently. The Aharonov-Anandan phase and its adiabatic limit (Berry phase for the system) are also calculated.