Enigmas of optical and matter-wave nonlinear soliton tunneling effects

T. L. Belyaeva; C. Hernandez-Tenorio; R. Perez-Torres; L. M. Kovachev; V. N. Serkin

doi:10.1117/12.881617

17 January 2011 Enigmas of optical and matter-wave nonlinear soliton tunneling effects

T. L. Belyaeva, C. Hernandez-Tenorio, R. Perez-Torres, L. M. Kovachev, V. N. Serkin

Proceedings Volume 7747, 16th International School on Quantum Electronics: Laser Physics and Applications; 77471N (2011) https://doi.org/10.1117/12.881617
Event: XVI International School on Quantum Electronics: Laser Physics and Applications, 2010, Nessebar, Bulgaria

Abstract

Recent studies have thrown doubt on the ideal treatment of soliton tunneling. The most important enigmas in this field can be formulated in the following way: As to whether nonlinear soliton tunneling effect will resemble more the point like classical particle case or the quantum mechanical behavior in which the particle itself has an internal structure? How "hidden" degrees of freedom can show up in the process of soliton tunneling? What happens if the amplitude and duration of the input soliton vary in time when the soliton approaches a classically forbidden barrier? In particular, what happens in the case of the nonlinear tunneling of self-compressing soliton when its binding energy is increased? As to whether this case will resemble more the classical particle case or the quantum mechanical behavior? These questions are taken up in this Report.

Citation Download Citation

T. L. Belyaeva, C. Hernandez-Tenorio, R. Perez-Torres, L. M. Kovachev, and V. N. Serkin "Enigmas of optical and matter-wave nonlinear soliton tunneling effects", Proc. SPIE 7747, 16th International School on Quantum Electronics: Laser Physics and Applications, 77471N (17 January 2011); https://doi.org/10.1117/12.881617

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