8 January 2015 Scaling symmetry breaking and wave-particle duality of optical and matter-wave solitons
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Proceedings Volume 9447, 18th International School on Quantum Electronics: Laser Physics and Applications; 94471D (2015) https://doi.org/10.1117/12.2177666
Event: Eighteenth International School on Quantum Electronics: Laser Physics and Applications, 2014, Sozopol, Bulgaria
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.
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V. N. Serkin, Akira Hasegawa, T. L. Belyaeva, "Scaling symmetry breaking and wave-particle duality of optical and matter-wave solitons", Proc. SPIE 9447, 18th International School on Quantum Electronics: Laser Physics and Applications, 94471D (8 January 2015); doi: 10.1117/12.2177666; https://doi.org/10.1117/12.2177666
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