Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:0912.4594 · Physica D Nonlinear Phenomena

Analytic solutions for a three-level system in a time-dependent field

Jan Naudts, Winny O’Kelly de Galway

Published Nov 24, 2010• 6 citations
arXivHTMLPDF
DOI
10.1016/j.physd.2010.11.003

Related papers

Analytical solutions for a transient two-field three-level system with arbitrary lifetimes (A)

Shekhar Guha, Martin A. Gundersen

Journal of the Optical Society of America A•Jan 1, 1984•0 citations

Effects of interference between one- and two-photon processes

Noriaki Tsukada, Ryoko Tsujinishi, Munehiko Nagano +1 more

Solutions are given for interaction between a three-level system and three arbitrarily intense fields, one of which has the sum frequency of the other two field frequencies. The results of a nonperturbative analytic treatment of the three-level Schr\"odinger equation are described. We find that the time dependence of the occupation probabilities of the three levels is strongly modified by the effects of interference between one- and two-photon processes.

Physical Review A•Apr 1, 1980•9 citations

TWO-LEVEL SYSTEM IN A TIME-DEPENDENT FIELD

WORLD SCIENTIFIC eBooks•Feb 1, 2024•0 citations

Dressed states analysis of lasing without population inversion in a three-level ladder scheme: Approximate analytic time dependent solutions

Doron Braunstein, R. Shuker

A dressed-state study of lasing without population inversion from a three level atom interacting with a bi-chromatic laser field, in the ladder configuration, is formulated. We allow the atomic system to be dressed by both laser filed photons (double dressing). The evolution of the system under consideration is being explored both analytically and numerically, within the transient regime. Time dependent approximate analytic solutions for dressed-state populations and coherences are derived, within the so called “secular approximation,” under resonant conditions. We also present time dependent numerical solutions for population and coherences in the off-resonance regime. A spectral analysis is also performed revealing the structure of various dressed states transitions. These are shown to be composed of quintets centered about the frequencies of the coupling and probe laser fields and having sidebands located symmetrically at positions shifted from line center at the Rabi and double Rabi frequencies.

Laser Physics•Feb 1, 2009•4 citations

Time-dependent treatment of a general three-level system

A. R. P. Rau, Weichang Zhao

Both unitary evolution and the effects of dissipation and decoherence for a general three-level system are of wide interest in quantum optics, molecular physics, and elsewhere. A previous paper presented a technique for solving the time-dependent operator equations involved but under certain restrictive conditions. We now extend our results to a general three-level system with arbitrary time-dependent Hamiltonians and Lindblad operators. Analytical handling of the SU(3) algebra of the eight operators involved leaves behind a set of coupled first-order differential equations for classical functions. Solution of this set gives a complete solution of the quantum problem, without having to invoke rotating-wave or other approximations. Numerical illustrations for multiphoton couplings and quantum control are given.

arXiv:quant-ph/0502109•Physical Review A•Jun 30, 2005•22 citations

Three-level system in an asymptotically strong field

I. V. Lebedev

OptSp•May 1, 1982•0 citations
A dressed-state study of lasing without population inversion from a three level atom interacting with a bi-chromatic laser field, in the ladder configuration, is formulated. We allow the atomic system to be dressed by both laser filed photons (double dressing). The evolution of the system under consideration is being explored both analytically and numerically, within the transient regime. Time dependent approximate analytic solutions for dressed-state populations and coherences are derived, within the so called “secular approximation,” under resonant conditions. We also present time dependent numerical solutions for population and coherences in the off-resonance regime. A spectral analysis is also performed revealing the structure of various dressed states transitions. These are shown to be composed of quintets centered about the frequencies of the coupling and probe laser fields and having sidebands located symmetrically at positions shifted from line center at the Rabi and double Rabi frequencies.
Both unitary evolution and the effects of dissipation and decoherence for a general three-level system are of wide interest in quantum optics, molecular physics, and elsewhere. A previous paper presented a technique for solving the time-dependent operator equations involved but under certain restrictive conditions. We now extend our results to a general three-level system with arbitrary time-dependent Hamiltonians and Lindblad operators. Analytical handling of the SU(3) algebra of the eight operators involved leaves behind a set of coupled first-order differential equations for classical functions. Solution of this set gives a complete solution of the quantum problem, without having to invoke rotating-wave or other approximations. Numerical illustrations for multiphoton couplings and quantum control are given.