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Adiabatic approximation in PT-symmetric quantum mechanics 被引量:3

Adiabatic approximation in PT-symmetric quantum mechanics
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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. 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.
出处 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2014年第10期1835-1839,共5页 中国科学:物理学、力学、天文学(英文版)
基金 supported by the National Natural Science Foundation of China(Grant Nos.11171197 and 11371012) the Science Research Foundation of Education Department of Shaanxi Provincial Government(Grant No.11JK0513) the Fundamental Research Funds for the Central Universities(Grant No.GK201402005 and GK201301007) the Postdoctoral Science Foundation of China(Grant No.2014M552405) the Natural Science Research Program of Shaanxi Province(Grant No.2014JQ1010)
关键词 PT-SYMMETRY time evolution equation adiabatic approximation error estimation 绝热近似 量子力学 对称 时间演化方程 充分条件 相位因子 量子系统 近似误差
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  • 1WANG Fei,JIA HongHui,ZHANG HaiLiang,ZHANG XueAo,CHANG ShengLi.Thermal entanglement in a mixed-spin Heisenberg XXZ model under a nonuniform external magnetic field[J].Science China(Physics,Mechanics & Astronomy),2009,52(12):1919-1924. 被引量:13
  • 2Farhi E, Goldstone J, Gutmann S, et al. A quantum adiabatic evolu- tion algorithm applied to random instances of an NP-complete prob- lem. Science, 2001, 292:472476.
  • 3Messiah A. Quantum Mechanics. New York: Dover Publications, 1999.
  • 4Amin M H S. Consistency of the adiabatic theorem. Phys Rev Lett, 2009, 102:220401.
  • 5Comparat D. General conditions for quantum adiabatic evolution. Phys Rev A, 2009, 80:012106.
  • 6Yukalov V I. Adiabatic theorems for linear and nonlinear Hamiltoni- ans. Phys Rev A, 2009, 79:052117.
  • 7Lidar D A, Rezakhani A T, Hamma A. Adiabatic approximation with exponential accuracy for many-body systems and quantum computa- tion. J Math Phys, 2009, 50:102106.
  • 8Tong D M, Singh K, Kwek L C, et al. Sufficiency criterion for the va- lidity of the adiabatic approximation. Phys Rev Lett, 2007, 98:150402.
  • 9Wei Z H, Ying M S. Quantum adiabatic computation and adiabatic con- ditions. Phys Rev A, 2007, 76:024304.
  • 10Zhao Y. Reexamination of the quantum adiabatic theorem. Phys Rev A, 2008, 76 032109.

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