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arXiv · 1004.2801

A progressive diagonalization scheme for the Rabi Hamiltonian

Feng Pan·Xin Guan·Yin Wang·J. P. Draayer
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Abstract

A diagonalization scheme for the Rabi Hamiltonian, which describes a qubit interacting with a single-mode radiation field via a dipole interaction, is proposed. It is shown that the Rabi Hamiltonian can be solved almost exactly using a progressive scheme that involves a finite set of one variable polynomial equations. The scheme is especially efficient for lower part of the spectrum. Some low-lying energy levels of the model with several sets of parameters are calculated and compared to those provided by the recently proposed generalized rotating-wave approximation and full matrix diagonalization.

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Feng Pan, Xin Guan, Yin Wang, J. P. Draayer. 2010-04-16. A progressive diagonalization scheme for the Rabi Hamiltonian. https://doi.org/10.1088/0953-4075/43/17/175501

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