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

More Information: We gratefully thank Santanu Manna and Fabio Turri for their collaboration in the early stages of this theoretical study as well as Quentin Glorieux and Arnaud Mussot for useful inputs, valuable comments, and interesting discussions. This work was financially supported by the Centre National de la Recherche Scientifique (CNRS), by the Provincia Autonoma di Trento through the Call Grandi Progetti 2012, Project On Silicon Chip Quantum Optics for Quantum Computing and Secure Communications – SiQuro, and by the European Future and Emerging Technologies Proactive Grant Analog Quantum Simulators for Many-Body Dynamics – AQuS, Project No. 640800.
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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