Solution to the Landau-Zener problem via Susskind-Glogower operators

Details Solution to the Landau-Zener problem via Susskind-Glogower operators Solution to the Landau-Zener problem via Susskind-Glogower operators

2011-05-20

arxiv.org/abs/1105.4013v2

Physics

Quantum Physics

6 pages, 5 figures

Scientific paper

We show that, by means of a right-unitary transformation, the fully quantized Landau-Zener Hamiltonian in the weak-coupling regime may be solved by using known solutions from the standard Landau-Zener problem. In the strong-coupling regime, where the rotating wave approximation is not valid, we show that the quantized Landau-Zener Hamiltonian may be diagonalized in the atomic basis by means of a unitary transformation; hence allowing numerical solutions for the few photons regime via truncation.

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