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Maximal quantum Fisher information in the semi-classical Rabi model

  • Jie Chen
  • Zhihai Wang
  • Hongbin Liang
  • Xiaoguang Wang
Regular Article

Abstract

To improve the precision of parameter estimation in semi-classical Rabi model, we study the maximal quantum Fisher information (MQFI) of the parameters in the system by the counter-rotating hybridized rotating-wave approximation (CHRWA). The validity of this approximation is discussed by the operator fidelity method, and the applicable effective parameter zone is found out. To get the MQFI of the system, we generalize the analytical expression of the MQFI for all unitary parametrization processes in two-level system. Then we apply our results to get the MQFI of the semi-classical Rabi model, and give the condition to reach the limit of parameter estimation’s precision. Finally, we discuss the relationship between the MQFI and the Bloch–Siegert (BS) shift in this model.

Graphical abstract

Keywords

Quantum Information 

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Copyright information

© EDP Sciences, SIF, Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  • Jie Chen
    • 1
  • Zhihai Wang
    • 2
  • Hongbin Liang
    • 1
  • Xiaoguang Wang
    • 1
  1. 1.Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang UniversityHangzhouP.R. China
  2. 2.Center for Quantum Sciences and School of Physics, Northeast Normal UniversityChangchunP.R. China

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