We theoretically investigate the dispersion relation of small-amplitude optical waves superimposing upon a beam of polarized monochromatic light propagating along a single-mode channel waveguide characterized by an instantaneous and spatially local Kerr nonlinearity. These small luminous fluctuations propagate along the waveguide as Bogoliubov elementary excitations on top of a one-dimensional dilute Bose quantum fluid evolve in time. They consequently display a strongly renormalized dispersion law, of Bogoliubov type. Analytical and numerical results are found in both the absence and the presence of one- and two-photon losses. Silicon and silicon-nitride waveguides are used as examples. We finally propose an experiment to measure this Bogoliubov dispersion relation, based on a stimulated four-wave mixing and interference spectroscopy techniques.

Pump-and-probe optical transmission phase shift as aquantitative probe of the Bogoliubov dispersion relation in a nonlinear channel waveguide / Pierre-Elie, Larré; Biasi, Stefano; Ramiro Manzano, Fernando; Pavesi, Lorenzo; Carusotto, Iacopo. - In: THE EUROPEAN PHYSICAL JOURNAL. D, ATOMIC, MOLECULAR, OPTICAL AND PLASMA PHYSICS. - ISSN 1434-6079. - 71:6(2017), pp. 146.1-146.17. [10.1140/epjd/e2017-80208-5]

Pump-and-probe optical transmission phase shift as aquantitative probe of the Bogoliubov dispersion relation in a nonlinear channel waveguide

Pierre-Elie Larré;Stefano Biasi;Fernando Ramiro-Manzano;Lorenzo Pavesi;and Iacopo Carusotto
2017-01-01

Abstract

We theoretically investigate the dispersion relation of small-amplitude optical waves superimposing upon a beam of polarized monochromatic light propagating along a single-mode channel waveguide characterized by an instantaneous and spatially local Kerr nonlinearity. These small luminous fluctuations propagate along the waveguide as Bogoliubov elementary excitations on top of a one-dimensional dilute Bose quantum fluid evolve in time. They consequently display a strongly renormalized dispersion law, of Bogoliubov type. Analytical and numerical results are found in both the absence and the presence of one- and two-photon losses. Silicon and silicon-nitride waveguides are used as examples. We finally propose an experiment to measure this Bogoliubov dispersion relation, based on a stimulated four-wave mixing and interference spectroscopy techniques.
2017
6
Pierre-Elie, Larré; Biasi, Stefano; Ramiro Manzano, Fernando; Pavesi, Lorenzo; Carusotto, Iacopo
Pump-and-probe optical transmission phase shift as aquantitative probe of the Bogoliubov dispersion relation in a nonlinear channel waveguide / Pierre-Elie, Larré; Biasi, Stefano; Ramiro Manzano, Fernando; Pavesi, Lorenzo; Carusotto, Iacopo. - In: THE EUROPEAN PHYSICAL JOURNAL. D, ATOMIC, MOLECULAR, OPTICAL AND PLASMA PHYSICS. - ISSN 1434-6079. - 71:6(2017), pp. 146.1-146.17. [10.1140/epjd/e2017-80208-5]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/192259
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