Rabi oscillations in a two-level atomic system with a pseudo-Hermitian Hamiltonian
Rabi oscillations in a two-level atomic system with a pseudo-Hermitian Hamiltonian
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.
Ben-Aryeh, Y.
9f9ba5e2-fab7-4149-b17b-6e71bc5cbcea
Mann, A.
337c3eda-df03-4695-90b1-0db68dad8918
Technology, Technion—Israel
5b9fd2e5-4b8a-4ee0-9b9e-ee38930a951e
1 December 2004
Ben-Aryeh, Y.
9f9ba5e2-fab7-4149-b17b-6e71bc5cbcea
Mann, A.
337c3eda-df03-4695-90b1-0db68dad8918
Technology, Technion—Israel
5b9fd2e5-4b8a-4ee0-9b9e-ee38930a951e
Ben-Aryeh, Y., Mann, A. and Technology, Technion—Israel
(2004)
Rabi oscillations in a two-level atomic system with a pseudo-Hermitian Hamiltonian.
Journal of Physics A: Mathematical and General, 37 (50), [12059].
(doi:10.1088/0305-4470/37/50/008).
Abstract
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.
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Published date: 1 December 2004
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Local EPrints ID: 477771
URI: http://eprints.soton.ac.uk/id/eprint/477771
ISSN: 0305-4470
PURE UUID: 1958d82e-6bb3-4304-80f9-cabc4dfd18df
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Date deposited: 14 Jun 2023 16:37
Last modified: 17 Mar 2024 04:17
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Author:
Y. Ben-Aryeh
Author:
A. Mann
Author:
Technion—Israel Technology
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