Two-photon ladder climbing and transition to autoresonance in a chirped oscillator

I. Barth*, L. Friedland

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

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 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 Schrödinger equation in the energy basis and illustrated via the Wigner function in phase space.

Original languageAmerican English
Article number053420
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume87
Issue number5
DOIs
StatePublished - 31 May 2013

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