Fidelity Susceptibility in the SU(2) and SU(1,1) Algebraic Structure Models
ZHANG Hong-Biao1, TIAN Li-Jun2,3
1Institute of Theoretical Physics, Northeast Normal University, Changchun 130024 2Department of Physics, College of Science, Shanghai University, Shanghai 200444 3Shanghai Key Lab for Astrophysics, Shanghai 200234
Fidelity Susceptibility in the SU(2) and SU(1,1) Algebraic Structure Models
ZHANG Hong-Biao1, TIAN Li-Jun2,3
1Institute of Theoretical Physics, Northeast Normal University, Changchun 130024 2Department of Physics, College of Science, Shanghai University, Shanghai 200444 3Shanghai Key Lab for Astrophysics, Shanghai 200234
摘要We mainly explore the fidelity susceptibility based on the Lie algebraic method. On physical grounds, the exact expressions of fidelity susceptibilities can be respectively obtained in SU(2) and SU(1,1) algebraic structure models, which are applied to one-body system and many-body systems, such as the single spin model, the single-mode squeeze harmonic oscillator model and the BCS model. In terms of the double-time Green-function method, our general conclusions are illustrated with two models which exhibit the fidelity susceptibilities at the finite temperature and Τ=0.
Abstract：We mainly explore the fidelity susceptibility based on the Lie algebraic method. On physical grounds, the exact expressions of fidelity susceptibilities can be respectively obtained in SU(2) and SU(1,1) algebraic structure models, which are applied to one-body system and many-body systems, such as the single spin model, the single-mode squeeze harmonic oscillator model and the BCS model. In terms of the double-time Green-function method, our general conclusions are illustrated with two models which exhibit the fidelity susceptibilities at the finite temperature and Τ=0.
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2010, Vol. 27 
