Two-photon ladder climbing and transition to autoresonance in a chirped oscillator
arXiv:1305.4601 · doi:10.1103/PhysRevA.87.053420
Abstract
The two-photon ladder climbing (successive two-photon Landau-Zener-type transitions) in a chirped quantum nonlinear oscillator and its classical limit (subharmonic autoresonance) are discussed. An isomorphism between the chirped quantum-mechanical one and two-photon resonances in the system is used in calculating the threshold for the phase-locking transition in both the classical and quantum limits. The theory is tested by solving the Schrodinger equation in the energy basis and illustrated via the Wigner function in phase space.
5 pages, 3 figures, submitted to PRA
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Cited by in corpus (4)
- Kinetic simulations of ladder climbing by electron plasma waves
- Capture into resonance and phase space dynamics in optical centrifuge
- Ladder Climbing and Autoresonant Acceleration of Plasma Waves
- Limiting Phase Trajectories: a new paradigm for the study of highly non-stationary processes in Nonlinear Physics