2022/01/07 by L. Al Sakkaf, Sakkaf, L. Al, T. Uthayakumar +3
Chemistry · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Pattern Formation and Solitons (nlin.PS) #Quantum optics and atomic interactions #Spectroscopy and Laser Applications
paper · pdf · doi:10.48550/arxiv.2201.02674
openalex publication_date 2022/01/07 · openalex created_date 2022/04/03 · openalex updated_date 2026/07/28
We investigate theoretically and numerically quantum reflection of dark solitons propagating through an external reflectionless potential barrier or in the presence of a position-dependent dispersion. We confirm that quantum reflection occurs in both cases with sharp transition between complete reflection and complete transmission at a critical initial soliton speed. The critical speed is calculated numerically and analytically in terms of the soliton and potential parameters. Analytical expressions for the critical speed were derived using the exact trapped mode, a time-independent, and a time-dependent variational calculations. It is then shown that resonant scattering occurs at the critical speed, where the energy of the incoming soliton is resonant with that of a trapped mode. Reasonable agreement between analytical and numerical values for the critical speed is obtained as long as a periodic multi-soliton ejection regime is avoided.