2014/12/31 by Vanja Dunjko, Dunjko, Vanja, Maxim Olshanii +1 · 1 citation
Physics and Astronomy · #Advanced Fiber Laser Technologies #Cold Atom Physics and Bose-Einstein Condensates #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Photonic Systems #Pattern Formation and Solitons (nlin.PS) #Quantum Gases (cond-mat.quant-gas) #cond-mat.quant-gas #nlin.PS #nlin.SI
paper · pdf · doi:10.48550/arxiv.1501.00075
Submission to AIMS Mathematics, special issue "New trends in mathematical analysis of solitary wave solutions to nonlinear partial differential equations (including fractional PDE)," 24 pages, 9 figures
openalex publication_date 2014/12/31 · openalex created_date 2019/02/21 · arxiv created 2020/09/02 · arxiv updated 2020/09/03 · openalex updated_date 2026/07/28
We introduce "superheated integrability," which produces characteristic staircase transmission plots for barrier collisions of breathers of the nonlinear Schrödinger equation. The effect makes tangible the inverse scattering transform, which treats the velocities and norms of the constituent solitons as the real and imaginary parts of the eigenvalues of the Lax operator. If all the norms are much greater than the velocities, an integrability-breaking potential may nonperturbatively change the velocities while having no measurable effect on the norms. This could be used to improve atomic interferometers.