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Rabi oscillations in a two-level atomic system with a pseudo-Hermitian Hamiltonian

Yacob Ben-Aryeh, Ady Mann and Itamar Yaakov

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Rabi oscillations of a two-level atomic system with damping effects are described by the use of a pseudo-Hermitian Hamiltonian. The Rabi frequency and the amplitudes for being in the upper and lower level depend in the present system on both the Hermitian resonant interaction between the em field and the atomic dipole and on damping effects. The time development of the two-level system is studied by using the metric of the pseudo-Hermitian Hamiltonian and its bi-orthonormal basis of states. The special characteristics of the present system are related to PT (parity-time reversal) and C (generalized conjugation operator) invariant properties of the pseudo-Hermitian Hamiltonian.


PACS

03.65.Ge Solutions of wave equations: bound states

42.50.Ct Quantum description of interaction of light and matter; related experiments

MSC

81V80 Quantum optics

Subjects

Optics, quantum optics and lasers

Quantum information and quantum mechanics

Dates

Issue 50 (17 December 2004)

Received 27 August 2004, in final form 21 October 2004

Published 1 December 2004



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