The analogue quantum mechanical of plasmonic atoms

R. A. Alves; Nuno A. Silva; J. C. Costa; M. Gomes; A. Guerreiro

doi:10.1117/12.2272037

22 August 2017 The analogue quantum mechanical of plasmonic atoms

R. A. Alves, Nuno A. Silva, J. C. Costa, M. Gomes, A. Guerreiro

Proceedings Volume 10453, Third International Conference on Applications of Optics and Photonics; 1045314 (2017) https://doi.org/10.1117/12.2272037
Event: Third International Conference on Applications of Optics and Photonics, 2017, Faro, Portugal

Abstract

Localized plasmons in metallic nanostructures present strong analogies with Quantum Mechanical problems of particles trapped in potential wells. In this paper we take this analogy further using the Madelung Formalism of Quantum Mechanics to express the fluid equations describing the charge density of the conduction electrons and corresponding interaction with light in terms of an effective generalized Non-linear Schr¨odinger equations. Within this context, it is possible to develop the analogy of a plasmonic atom and molecule that exhibits Rabi oscillations, Stark effect, among other Quantum Mechanical effects.

Citation Download Citation

R. A. Alves, Nuno A. Silva, J. C. Costa, M. Gomes, and A. Guerreiro "The analogue quantum mechanical of plasmonic atoms", Proc. SPIE 10453, Third International Conference on Applications of Optics and Photonics, 1045314 (22 August 2017); https://doi.org/10.1117/12.2272037

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