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Physical Sciences and Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

1989

Physics

St. John Fisher University

Articles 1 - 4 of 4

Full-Text Articles in Physical Sciences and Mathematics

Adiabatic Population Transfer In A Three-Level System Driven By Delayed Laser Pulses, J. R. Kuklinski, U. Gaubatz, Foek T. Hioe, K Bergmann Dec 1989

Adiabatic Population Transfer In A Three-Level System Driven By Delayed Laser Pulses, J. R. Kuklinski, U. Gaubatz, Foek T. Hioe, K Bergmann

Physics Faculty/Staff Publications

We give a simple analytic solution that describes a novel method for population transfer in a three-level system driven by delayed pulses and which accounts for recent experimental results. This solution describes a procedure that is counter intuitive, and yet it is shown to be, in fact, one of the simplest solutions for multilevel systems arising from the adiabatic theorem. Its possible application to many-level systems is suggested.


Lossless Propagation Of Optical Pulses Through N-Level Systems With Gell-Mann Symmetry, Foek T. Hioe Jun 1989

Lossless Propagation Of Optical Pulses Through N-Level Systems With Gell-Mann Symmetry, Foek T. Hioe

Physics Faculty/Staff Publications

Propagation of optical pulses through atomic media consisting of atoms with N transition levels and possessing the so-called Gell-Mann symmetry is studied. An analytic solution of the appropriate Maxwell-Bloch equations having the form of simultaneous different wavelength optical solutions is presented. The special case of N = 3 was known previously.


Certain Stability Type And Integrable Two-Dimensional Hamiltonian Systems, Foek T. Hioe Mar 1989

Certain Stability Type And Integrable Two-Dimensional Hamiltonian Systems, Foek T. Hioe

Physics Faculty/Staff Publications

We present the results of applying an analytical method, using a new concept involving a periodic stability around a line of initial values, to two Hamiltonian systems with two degrees of freedom each with several parameters. By requiring the systems to have this type of stability, we have been led to known integrable cases for the systems. For one of the systems, our analysis gives six other cases, two of which turn out to be nonintegrable. The status of the remaining four cases has not been established.


Lossless Propagation Of Optical Pulses Through N-Level Systems With Su(2) Symmetry, Foek T. Hioe Mar 1989

Lossless Propagation Of Optical Pulses Through N-Level Systems With Su(2) Symmetry, Foek T. Hioe

Physics Faculty/Staff Publications

Propagation of optical pulses through atomic media consisting of atoms with N transition levels and possessing the so-called SU(2) symmetry is studied. It is shown that there are generally N - 1 sets of conditions, each of which, when satisfied, would permit the appropriate Maxwell-Bloch equations to have a solution having the form of simultaneous different-wavelength optical solutions, so-called simulations. The first two sets of solutions were known previously, but the remaining sets are new.