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Open Quantum Systems Decoherence
Quantum Simulation
Solution to the Landau-Zener problem via Susskind-Glogower operators
arXiv
Authors: B. M. Rodríguez-Lara, D. Rodríguez-Méndez, H. Moya-Cessa
Year
2011
Paper ID
8742
Status
Preprint
Abstract Read
~2 min
Abstract Words
73
Citations
N/A
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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- 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...
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