Solution to the Landau-Zener problem via Susskind-Glogower operators |
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Authors: | BM Rodríguez-Lara D Rodríguez-MéndezH Moya-Cessa |
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Institution: | a Centre for Quantum Technologies, National University of Singapore, 2 Science Drive 3, Singapore 117542, Singapore b INAOE, Coordinación de Optica, Apdo. Postal 51 y 216, 72000 Puebla, Pue., Mexico |
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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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Keywords: | Quantum optics Coherent control of atomic interactions with photons |
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