An analytically solvable time dependent Jaynes Cummings model

Details An analytically solvable time dependent Jaynes Cummings model An analytically solvable time dependent Jaynes Cummings model

1998-08-04

arxiv.org/abs/quant-ph/9808004v1

J.Opt.B Quant.Semiclass.Opt.1:14-18,1999

Physics

Quantum Physics

7 pages, LaTex, 3 postscript figures

Scientific paper

10.1088/1464-4266/1/1/003

Using the underlying su(2) algebra of the Jaynes-Cummings Model (JCM), we construct a time dependent interaction term that allows analytical solution for even off-resonance conditions. Exact solutions for the time evolution of any state has been found. The effect of detuning on the Rabi oscillations and the collapse and revival of inversion is indicated. It is also shown that at resonance, the time dependent JCM is analytically solvable for an arbitrary interaction term.

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