2008/09/18 by Astha Sethi, Srihari Keshavamurthy
Physics and Astronomy · #Laser-Matter Interactions and Applications #Quantum chaos and dynamical systems #Quantum optics and atomic interactions #nlin.CD
paper · pdf · doi:10.1103/physreva.79.033416
12 pages, 6 figures (reduced quality), submitted to Phys. Rev. A
arxiv created 2008/09/18 · openalex publication_date 2009/03/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This work explores the possibility of controlling the dissociation of a monochromatically driven one-dimensional Morse oscillator by recreating barriers, in the form of invariant tori with irrational winding ratios, at specific locations in the phase space. The control algorithm proposed by Huang et al. [Phys. Rev. A 74, 053408 (2006)] is used to obtain an analytic expression for the control field. We show that the control term, approximated as an additional weaker field, is efficient in recreating the desired tori and suppresses the classical as well as the quantum dissociation. However, in the case when the field frequency is tuned close to a two-photon resonance the local barriers are not effective in suppressing the dissociation. We establish that in the on-resonant case quantum dissociation primarily occurs via resonance-assisted tunneling and controlling the quantum dynamics requires a local perturbation of the specific nonlinear resonance in the underlying phase space.