Journal des lasers, optiques et photoniques

Theoretical calculations of quantum phase of time-dependent multimode coupled quadratic polynomial Bose system

Abstract

Ang-Yang Yu

The theory of generalized linear transformation is utilized to obtain the only strict solution of time-dependent multi-mode coupled quadratic polynomial Bose system evolution operator. Based on this solution, both the Pancharatnam (PM) quantum phase1 and Aharonov-Anandan (A-A) quantum phase2 of the time-dependent multimode coupled quadratic polynomial Bose system have been calculated and analyzed. The relationship between PM quantum phase and A-A quantum phase has also been discussed. This work is significant for investigating quantum phase, including the topic of Berry phase.