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quant-ph2020
Non-adiabatic transitions in parabolic and super-parabolic -symmetric non-Hermitian systems
Chon-Fai Kam, Yang Chen
Exceptional points, the spectral degeneracy points in the complex parameter space, are fundamental to non-Hermitian quantum systems. The dynamics of non-Hermitian systems in the pr…
quant-ph2019
Analytical Approximations to the Dynamics of Nonlinear Level Crossing Models
Chon-Fai Kam, Yang Chen
We study the dynamics of a nonlinear two-level crossing model with a cubic modification of the linear Landau-Zener diabatic energies. The solutions are expressed in terms of the bi…
quant-ph2019
Analytical Results for the Dynamics of Parabolic Level-Crossing Model
Chon-Fai Kam, Yang Chen
We study the dynamics of a two-level crossing model with a parabolic separation of the diabatic energies. The solutions are expressed in terms of the tri-confluent Heun equations -…