Semiclassical calculation of the diffusion constant for the Λ system momentum

A. Chu*, D. P. Katz, M. Prentiss, M. S. Shahriar, P. R. Hemmer

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We present a one-dimensional, semiclassical calculation of the momentum diffusion constant for a stationary Λ atom. We show that if the difference detuning between the driving fields is zero, the diffusion vanishes, and we interpret this behavior in terms of the atom-field eigenstates. We present explicit solutions to the equations of motion in the special case where one of the driving fields vanishes and compare them to the case of a two-level atom at a field node. Finally, we examine the correspondence between the semiclassical and quantum-mechanical analyses at zero difference detuning and we show a correspondence between the semiclassical and quantum-mechanical dark states when the driving fields are superpositions of plane waves with the same magnitude of wave vector.

Original languageEnglish (US)
Pages (from-to)2289-2293
Number of pages5
JournalPhysical Review A
Volume51
Issue number3
DOIs
StatePublished - Jan 1 1995

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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