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Quantum Fisher Information Gap for Systems with Nonlinear Hamiltonians
Authors:Bo Liu  Yi-Xiao Huang  Xiao-Guang Wang
Institution:1. Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, Hangzhou 310027, China; 2. School of Physics, Changchun Normal University, Changchun 130032, China; 3. School of Science, Zhejiang University of Science and Technology, Hangzhou 310023, China
Abstract:Quantum Fisher information(QFI) gap characterizes the stability of QFI to space directions. We study the QFI distributions and QFI gap for quantum states generated from nonlinear Hamiltonians for both spin and bosonic systems. We find that the same spin-squeezing parameter(or principle squeezing parameter) corresponds to two different values QFI gap, and the locations of all extreme points of the QFI are explicitly given.
Keywords:quantum Fisher information  quantum metrology  nonlinear Hamiltonians  
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