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Proceedings Paper

Scaling symmetry breaking and wave-particle duality of optical and matter-wave solitons
Author(s): V. N. Serkin; Akira Hasegawa; T. L. Belyaeva
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Paper Abstract

The famous principle of wave-particle duality in quantum physics holds that matter and light exhibit the behaviors of both waves and particles, depending on the experiment being performed. Is there a similar analogy for the soliton? What other analogies have not been established so far? The key conceptual result of our work consists in the demonstration of a deep analogy between the Schrödinger soliton tunneling through the classically forbidden potential barrier and the Gamow scenario of quantum mechanical tunneling effect and alpha-particle decay. Guided by this constructive (but obviously only formal) analogy, we reveal a hidden role of the soliton self-interaction ("binding") energy and its dramatic impact on the wave-particle duality of scattered solitons. The solitonic analog of the de Broglie wavelength, "shooting out" of high-energy de Broglie video-solitons from arbitrary N-soliton superposition and phenomena similar to the Ramsauer-Taunsend effect and the Geiger--Nuttall law ought to be expected for solitons.

Paper Details

Date Published: 8 January 2015
PDF: 8 pages
Proc. SPIE 9447, 18th International School on Quantum Electronics: Laser Physics and Applications, 94471D (8 January 2015); doi: 10.1117/12.2177666
Show Author Affiliations
V. N. Serkin, Benemérita Univ. Autónoma de Puebla (Mexico)
Akira Hasegawa, Osaka Univ. (Japan)
T. L. Belyaeva, Univ. Autónoma del Estado de México (Mexico)

Published in SPIE Proceedings Vol. 9447:
18th International School on Quantum Electronics: Laser Physics and Applications
Tanja Dreischuh; Sanka Gateva; Alexandros Serafetinides, Editor(s)

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