# Quantum versus classical effects in the chirped-drive discrete nonlinear Schrödinger equation

@article{Armon2019QuantumVC, title={Quantum versus classical effects in the chirped-drive discrete nonlinear Schr{\"o}dinger equation}, author={Tsafrir Armon and Lazar Friedland}, journal={Physical Review A}, year={2019} }

A chirped parametrically driven discrete nonlinear Schrodinger equation is discussed. It is shown that the system allows two resonant excitation mechanisms, i.e., successive two-level transitions (ladder climbing) or a continuous classical-like nonlinear phase-locking (autoresonance). Two-level arguments are used to study the ladder-climbing process, and semiclassical theory describes the autoresonance effect. The regimes of efficient excitation in the problem are identified and characterized…

## 2 Citations

### Missing-rung problem in vibrational ladder climbing

- PhysicsPhysical Review A
- 2022

We observed vanishing of the transition dipole moment, interrupting vibrational ladder climbing (VLC) in molecular systems. We clarified the mechanism of this phenomenon and present a method to use…

### Quantum versus classical chirps in a Rydberg atom

- Physics
- 2020

The interplay between quantum-mechanical and classical evolutions in a chirped driven Rydberg atom is discussed. It is shown that the system allows two continuing resonant excitation mechanisms,…

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