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Exactly solvable approximating models for Rabi Hamiltonian dynamics

Andrey Pereverzev·Eric R. Bittner
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Abstract

The interaction between an atom and a one mode external driving field is an ubiquitous problem in many branches of physics and is often modeled using the Rabi Hamiltonian. In this paper we present a series of analytically solvable Hamiltonians that approximate the Rabi Hamiltonian and compare our results to the Jaynes-Cummings model which neglects the so-called counter-rotating term in the Rabi Hamiltonian. Through a unitary transformation that diagonlizes the Jaynes-Cummings model, we transform the counter-rotating term into separate terms representing several different physical processes. By keeping only certain terms, we can achieve an excellent approximation to the exact dynamics within specified parameter ranges.

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Andrey Pereverzev, Eric R. Bittner. 2005-10-28. Exactly solvable approximating models for Rabi Hamiltonian dynamics. https://doi.org/10.1039/b517470h

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