We investigate energy propagation in a perturbed optical lattice, studying the nonlinear adiabatic evolution of a light beam. Through an asymptotic model, we demonstrate that: (i) energy propagating in the adiabatic regime visualizes the dispersion relation of the unperturbed lattice; (ii) the adiabatic evolution can be broken by nonlinearity, giving rise to tunneling between Bloch bands; (iii) the tunneling is accompanied by nonlinear emission of one - or more - coherent Bloch waves, the properties of which can be completely controlled by linear and/or nonlinear parameters. We verify the analytical results against numerical simulations and indicate possible experimental implementations.

Fratalocchi, A., Assanto, G. (2007). Nonlinear adiabatic evolution and emission of coherent Bloch waves in optical lattices. PHYSICAL REVIEW A, 75(1) [10.1103/PhysRevA.75.013626].

Nonlinear adiabatic evolution and emission of coherent Bloch waves in optical lattices

ASSANTO, GAETANO
2007-01-01

Abstract

We investigate energy propagation in a perturbed optical lattice, studying the nonlinear adiabatic evolution of a light beam. Through an asymptotic model, we demonstrate that: (i) energy propagating in the adiabatic regime visualizes the dispersion relation of the unperturbed lattice; (ii) the adiabatic evolution can be broken by nonlinearity, giving rise to tunneling between Bloch bands; (iii) the tunneling is accompanied by nonlinear emission of one - or more - coherent Bloch waves, the properties of which can be completely controlled by linear and/or nonlinear parameters. We verify the analytical results against numerical simulations and indicate possible experimental implementations.
Fratalocchi, A., Assanto, G. (2007). Nonlinear adiabatic evolution and emission of coherent Bloch waves in optical lattices. PHYSICAL REVIEW A, 75(1) [10.1103/PhysRevA.75.013626].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/149080
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