Non-linear dynamics of double-cavity optical bistability of three-level ladder system

Details Non-linear dynamics of double-cavity optical bistability of three-level ladder system Non-linear dynamics of double-cavity optical bistability of three-level ladder system

2010-09-08

arxiv.org/abs/1009.1550v2

Phys. Rev. A 83, 033819 (2011)

Nonlinear Sciences

Chaotic Dynamics

7 Pages, 9 figures. Feedback is welcome

Scientific paper

10.1103/PhysRevA.83.033819

We present non-linear dynamical features of two-photon double-cavity optical bistability exhibited by a three level ladder system in the mean field limit. The system exhibits a hump like feature in the lower branch of the bistable response, wherein a new region of instability develops. The system displays a range of dynamical features varying from normal stable switching, periodic self-pulsing to a period-doubling route to chaos. The inclusion of two competing cooperative atom-field couplings leads to such rich nonlinear dynamical behavior. We provide a domain map that clearly delineates the various regions of stability that will aid the realization of any desired dynamics. We also present bifurcation diagram and the associated supporting evidence that clearly identifies the period-doubling route to chaos, which occurs at low input light levels.

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