Adiabatic approximation in PT-symmetric quantum mechanics |
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| Authors: | ZhiHua Guo HuaiXin Cao Ling Lu |
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| Affiliation: | 1. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an, 710062, China
2. Section of Military Operation Research, Xi’an Military Academy, Xi’an, 710018, China
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| Abstract: | 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. |
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| Keywords: | PT-symmetry time evolution equation adiabatic approximation error estimation |
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