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

Year: 2017

Authors: Larre PE., Biasi S., Ramiro-Manzano F., Pavesi L., Carusotto I.

Autors Affiliation: Univ Rech PSL, CNRS, ENS, Lab Kastler Brossel,UPMC,Sorbonne Univ,Coll Franc, 4 Pl Jussieu, F-75005 Paris, France;‎ Univ Trento, Lab Nanosci, CNR, INFM, Via Sommarive 14, I-38123 Povo, TN, Italy; Univ Trento, BEC Ctr, CNR, INO, Via Sommarive 14, I-38123 Povo, TN, Italy

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.

Journal/Review: EUROPEAN PHYSICAL JOURNAL D

Volume: 71 (6)      Pages from: 146-1  to: 146-17

KeyWords: BOSE-EINSTEIN CONDENSATION; MODULATION INSTABILITY; MODE-LOCKING; EXCITATIONS; HELIUM; SUPERFLUIDITY; STABILITY; LIGHT
DOI: 10.1140/epjd/e2017-80208-5

Citations: 9
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