A progressive diagonalization scheme for the Rabi Hamiltonian

Details A progressive diagonalization scheme for the Rabi Hamiltonian A progressive diagonalization scheme for the Rabi Hamiltonian

2010-04-16

arxiv.org/abs/1004.2801v2

Physics

Quantum Physics

8pages, 1 figure, LaTeX. Accepted for publication in J. Phys. B: At. Mol. Opt. Phys

Scientific paper

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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