Quantum tunneling and Floquet energy in the Non-Hermitian Bose-Hubbard model

A time-dependent imaginary-part(non-hermitian) is added into the time-dependent double-well Bose-Hubbard 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 tunneli...

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Bibliographic Details
Main Authors: Ye, Haisheng, Lu, Gengbiao
Format: Conference Proceeding
Language:English
Subjects:
Chaos
Correlation
double-well
Floquet energy
Next generation networking
non-hermitian
semi-classical
Time-frequency analysis
Tunneling
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Summary:A time-dependent imaginary-part(non-hermitian) is added into the time-dependent double-well Bose-Hubbard 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 tunneling effect in chaotic regions is greater than that of the regular one, which shows that the classical chaos and the non-hermitian 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 is times larger to the hermitian-part frequency.
ISSN:2378-8607
DOI:10.1109/ISNE48910.2021.9493589