2018/10/31 by Yuan Miao, Enej Ilievski, Oleksandr Gamayun · 14 citations
Physics and Astronomy · #Bose gas #Bose–Einstein condensate #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Mechanics #Nonlinear system #Physics #Quantum electrodynamics #Quantum many-body systems #Quantum mechanics #Radiation #Relaxation (psychology) #Soliton #Strong Light-Matter Interactions #Supersonic speed #cond-mat.quant-gas #cond-mat.stat-mech #nlin.SI
paper · pdf · doi:10.1103/physreva.99.023605
published in Physical Review A 99(2) (American Physical Society) · 22 pages, 8 figures. Published in Phys. Rev. A
arxiv created 2019/02/01 · openalex publication_date 2019/02/01 · arxiv updated 2019/02/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study relaxation dynamics in one-dimensional Bose gases, formulated as an initial value problem for the classical nonlinear Schr"odinger equation. We propose an analytic technique which takes into account the exact spectrum of nonlinear modes that is both soliton excitations and dispersive continuum of radiation modes. Our method relies on the exact large-time asymptotics and uses the so-called dressing transformation to account for the solitons. The obtained results are quantitatively compared with the predictions of the linearized approach in the framework of the Bogoliubov theory. In the attractive regime, the interplay between solitons and radiation yields a damped oscillatory motion of the profile which resembles breathing. For the repulsive interaction, the solitons are confined in the sound cone region separated from the supersonic radiation.