Journal
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS
Volume 43, Issue 17, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0953-4075/43/17/175501
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Funding
- US National Science Foundation [PHY-0500291, OCI-0904874]
- Southeastern Universities Research Association
- Natural Science Foundation of China [10775064]
- Liaoning Education Department [2007R28]
- LSU-LNNU [9961]
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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 the 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 a full matrix diagonalization.
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