Ye Haisheng / ChangSha university of science and technology;School of Physics and Electronic Science
A time-dependent imaginary-part(non-hermitian) is added into the time-dependent double-well model to study the correspondence between the semi-classical behavior and the quantum behavior through mean field theory. The influence of the time-dependent imaginary-part on the quantum tunneling of the system is discussed, the effect of tunneling in chaotic regions is greater than that of the regular one,and the classical chaos also will cause the enhancement of the quantum tunneling.By the way,the Floquet energy spectrum of the system is calculated,the imaginary part of Floquet energy is 0 when the frequency of non-Hermitian term satisfies relation that it’s times larger to the hermitian-part frequency.