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- Title
Pump-and-probe optical transmission phase shift as a quantitative probe of the Bogoliubov dispersion relation in a nonlinear channel waveguide.
- Authors
Larré, Pierre-Élie; Biasi, Stefano; Ramiro-Manzano, Fernando; Pavesi, Lorenzo; Carusotto, Iacopo
- 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. Graphical abstract:
- Subjects
LIGHT transmission; DISPERSION relations; CAUSALITY (Physics); NUCLEAR physics; QUANTUM theory
- Publication
European Physical Journal D (EPJ D), 2017, Vol 71, Issue 6, p1
- ISSN
1434-6060
- Publication type
Article
- DOI
10.1140/epjd/e2017-80208-5