Exact Solution for Jaynes–Cummings Model with Bosonic Field Nonlinearity and Strong Boson-Fermion Coupling

Yang Jin, Yu Wan‐Lun, Xiang An-ping · Communications in Theoretical Physics · 2006

We use Lewis–Riesenfeld invariant approach to treat the modified Jaynes–Cummings models involving any forms of nonlinearty of the bosonic field when strong boson-fermion couplings are nilpotent Grassmann valued. The general state functions, time evolution operator and the time-evolution expressions for both the bosonic number and the fermionic number are presented.

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