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… 

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