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arXiv · 1105.4013

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

B. M. Rodríguez-Lara·D. Rodríguez-Méndez·H. Moya-Cessa
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Abstract

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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B. M. Rodríguez-Lara, D. Rodríguez-Méndez, H. Moya-Cessa. 2011-05-20. Solution to the Landau-Zener problem via Susskind-Glogower operators. https://doi.org/10.1016/j.physleta.2011.08.051

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