Adiabatic approximation in PT-symmetric quantum mechanics

作者:Guo ZhiHua; Cao HuaiXin*; Lu Ling
来源:Science China Physics,Mechanics & Astronomy, 2014, 57(10): 1835-1839.
DOI:10.1007/s11433-014-5505-2

摘要

In this paper, we present a quantitative sufficient condition for adiabatic approximation in PT-symmetric quantum mechanics, which yields that a state of the PT-symmetric quantum system at any time will remain approximately in the m-th eigenstate up to a multiplicative phase factor whenever it is initially in the m-th eigenstate of the Hamiltonian. In addition, we estimate the approximation errors by the distance and the fidelity between the exact solution and the adiabatic approximate solution to the time evolution equation, respectively.