2016/02/08 by Tsafrir Armon, L. Frièdland, Lazar Friedland · 2 citations
Chemistry · Mathematics · Physics and Astronomy · #Action (physics) #Centrifuge #Chemistry #Classical mechanics #Computer science #Degrees of freedom (physics and chemistry) #Dimensionless quantity #Geometry #Laser-Matter Interactions and Applications #Mathematical analysis #Mathematics #Mechanics #Nonlinear system #Phase (matter) #Phase space #Physics #Quantum chaos and dynamical systems #Quantum mechanics #Resonance (particle physics) #Rotation (mathematics) #Space (punctuation) #Spectroscopy and Quantum Chemical Studies #Statistical physics #Transformation (genetics) #physics.atm-clus
paper · pdf · doi:10.1103/physreva.93.043406
published as Phys. Rev. A 93, 043406 (2016)
arxiv created 2016/02/08 · openalex publication_date 2016/04/07 · arxiv updated 2016/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The process of capture of a molecular ensemble into rotational resonance in the optical centrifuge is investigated. The adiabaticity and phase-space incompressibility are used to find the resonant capture probability in terms of two dimensionless parameters P1,2 characterizing the driving strength and the nonlinearity, and related to three characteristic time scales in the problem. The analysis is based on the transformation to action-angle variables and the single resonance approximation, yielding reduction of the three-dimensional rotation problem to one degree of freedom. The analytic results for capture probability are in good agreement with simulations. The existing experiments satisfy the validity conditions of the theory.