title: Reverse engineering of a Hamiltonian by designing the evolution operators.
abstract: We propose an effective and flexible scheme for reverse engineering of a Hamiltonian by designing the evolution operators to eliminate the terms of Hamiltonian which are hard to be realized in practice. Different from transitionless quantum driving (TQD), the present scheme is focus on only one or parts of moving states in a D-dimension (D ≥ 3) system. The numerical simulation shows that the present scheme not only contains the results of TQD, but also has more free parameters, which make this scheme more flexible. An example is given by using this scheme to realize the population transfer for a Rydberg atom. The influences of various decoherence processes are discussed by numerical simulation and the result shows that the scheme is fast and robust against the decoherence and operational imperfection. Therefore, this scheme may be used to construct a Hamiltonian which can be realized in experiments.
authors.affiliation: Department of Physics, Fuzhou University, Fuzhou 350002, China.
authors.forename: Yi-Hao
authors.initials: YH
authors.lastname: Kang
authors.affiliation: Department of Physics, Fuzhou University, Fuzhou 350002, China.
authors.forename: Ye-Hong
authors.initials: YH
authors.lastname: Chen
authors.affiliation: Department of Physics, Fuzhou University, Fuzhou 350002, China.
authors.forename: Qi-Cheng
authors.initials: QC
authors.lastname: Wu
authors.affiliation: Department of Physics, Fuzhou University, Fuzhou 350002, China.
authors.forename: Bi-Hua
authors.initials: BH
authors.lastname: Huang
authors.affiliation: Department of Physics, Fuzhou University, Fuzhou 350002, China.
authors.forename: Yan
authors.initials: Y
authors.lastname: Xia
authors.affiliation: Department of Physics, Harbin Institute of Technology, Harbin 150001, China.
authors.forename: Jie
authors.initials: J
authors.lastname: Song