title: The energy-level crossing behavior and quantum Fisher information in a quantum well with spin-orbit coupling.
abstract: We study the energy-level crossing behavior in a two-dimensional quantum well with the Rashba and Dresselhaus spin-orbit couplings (SOCs). By mapping the SOC Hamiltonian onto an anisotropic Rabi model, we obtain the approximate ground state and its quantum Fisher information (QFI) via performing a unitary transformation. We find that the energy-level crossing can occur in the quantum well system within the available parameters rather than in cavity and circuit quantum eletrodynamics systems. Furthermore, the influence of two kinds of SOCs on the QFI is investigated and an intuitive explanation from the viewpoint of the stationary perturbation theory is given.
authors.affiliation: Center for Quantum Sciences, Northeast Normal University, Changchun 130117, China.|Beijing Computational Science Research Center, Beijing 100094, China.
authors.forename: Z H
authors.initials: ZH
authors.lastname: Wang
authors.affiliation: Beijing Computational Science Research Center, Beijing 100094, China.|School of Mathematics and Computer Science, Guizhou Normal University, Guiyang 550001, China.
authors.forename: Q
authors.initials: Q
authors.lastname: Zheng
authors.affiliation: Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, Hangzhou 310027, China.
authors.forename: Xiaoguang
authors.initials: X
authors.lastname: Wang
authors.affiliation: Beijing Computational Science Research Center, Beijing 100094, China.|Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China.
authors.forename: Yong
authors.initials: Y
authors.lastname: Li