NASA Logo

NTRS

NTRS - NASA Technical Reports Server

Back to Results
Regular and Chaotic Quantum Dynamics of Two-Level Atoms in a Selfconsistent Radiation FieldDynamics of two-level atoms interacting with their own radiation field in a single-mode high-quality resonator is considered. The dynamical system consists of two second-order differential equations, one for the atomic SU(2) dynamical-group parameter and another for the field strength. With the help of the maximal Lyapunov exponent for this set, we numerically investigate transitions from regularity to deterministic quantum chaos in such a simple model. Increasing the collective coupling constant b is identical with 8(pi)N(sub 0)(d(exp 2))/hw, we observed for initially unexcited atoms a usual sharp transition to chaos at b(sub c) approx. equal to 1. If we take the dimensionless individual Rabi frequency a = Omega/2w as a control parameter, then a sequence of order-to-chaos transitions has been observed starting with the critical value a(sub c) approx. equal to 0.25 at the same initial conditions.
Document ID
19960025053
Acquisition Source
Goddard Space Flight Center
Document Type
Conference Paper
Authors
Konkov, L. E.
(Academy of Sciences (USSR) Vladivostok, USSR)
Prants, S. V.
(Academy of Sciences (USSR) Vladivostok, USSR)
Date Acquired
September 6, 2013
Publication Date
January 1, 1996
Publication Information
Publication: Fourth International Conference on Squeezed States and Uncertainty Relations
Subject Category
Atomic And Molecular Physics
Accession Number
96N27178
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
No Preview Available