Landau-Zener tunneling of solitons

Physical Review. E
Vazha Loladze, Ramaz Khomeriki

Abstract

We consider Landau-Zener tunneling of solitons in a weakly coupled two-channel system, for this purpose we construct a simple mechanical system using two weakly coupled chains of nonlinear oscillators with gradually decreasing (first chain) and increasing (second chain) masses. The model allows us to consider soliton propagation and Landau-Zener tunneling between the chains. It is shown that soliton tunneling characteristics become drastically dependent on its amplitude in nonlinear regime. The validity of the developed tunneling theory is justified via comparison with direct numerical simulations on oscillator ladder system.

References

Nov 30, 1998·Science·B P Anderson, M A Kasevich
Feb 28, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ramaz Khomeriki
May 21, 2005·Physical Review Letters·Ramaz Khomeriki, Stefano Ruffo
Feb 21, 2006·Physical Review Letters·Henrike TrompeterUlf Peschel
Feb 21, 2006·Physical Review Letters·Henrike TrompeterFalk Lederer
Oct 10, 2006·Physical Review Letters·L GutiérrezA Morales
May 16, 2007·Physical Review Letters·Helios Sanchis-AlepuzJosé Sánchez-Dehesa
Mar 6, 2006·Optics Express·Andrea Fratalocchi, Gaetano Assanto
Oct 1, 2013·Physical Review Letters·L ChotorlishviliJ Berakdar
Jul 2, 2016·Physical Review Letters·Ramaz Khomeriki, Sergej Flach

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Citations

Jun 18, 2017·Physical Review. E·Kentaro HaraN J Fisch

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