To study controlled evolution of nonautonomous matter-wave breathers and rogue waves in spinor Bose–Einstein condensates with spatiotemporal modulation,we focus on a system of three coupled Gross–Pitaevskii equation...To study controlled evolution of nonautonomous matter-wave breathers and rogue waves in spinor Bose–Einstein condensates with spatiotemporal modulation,we focus on a system of three coupled Gross–Pitaevskii equations with spacetime-dependent external potentials and temporally modulated gain-loss distributions.With different external potentials and gain-loss distributions,various solutions for controlled nonautonomous matterwave breathers and rogue waves are derived by the Darboux transformation method,such as breathers and rogue waves on arched and constant backgrounds which have the periodic and parabolic trajectories.Effects of the gain-loss distribution and linear potential on the breathers and rogue waves are studied.Nonautonomous two-breathers on the arched and constant backgrounds are also derived.展开更多
Realizing single light solitons that are stable in high dimensions is a long-standing goal in research of nonlinear optical physics.Here,we address a scheme to generate stable two-dimensional solitons in a cold Rydber...Realizing single light solitons that are stable in high dimensions is a long-standing goal in research of nonlinear optical physics.Here,we address a scheme to generate stable two-dimensional solitons in a cold Rydberg atomic system with a parity-time(PT) symmetric moiré optical lattice.We uncover the formation,properties,and their dynamics of fundamental and two-pole gap solitons as well as vortical ones.The PT symmetry,lattice strength,and the degrees of local and nonlocal nonlinearity are tunable and can be used to control solitons.The stability regions of these solitons are evaluated in two numerical ways:linear-stability analysis and time evolutions with perturbations.Our results provide an insightful understanding of solitons physics in combined versatile platforms of PT-symmetric systems and Rydberg–Rydberg interaction in cold gases.展开更多
基金Supported by the National Natural Science Foundation under Grant(11147180)Science and Technology Agency Foundation of Hubei Province under Grant(2011CDC005,D20122804)
基金supported by the National Natural Science Foundation of China (Grant Nos.11975172 and 12261131495)。
文摘To study controlled evolution of nonautonomous matter-wave breathers and rogue waves in spinor Bose–Einstein condensates with spatiotemporal modulation,we focus on a system of three coupled Gross–Pitaevskii equations with spacetime-dependent external potentials and temporally modulated gain-loss distributions.With different external potentials and gain-loss distributions,various solutions for controlled nonautonomous matterwave breathers and rogue waves are derived by the Darboux transformation method,such as breathers and rogue waves on arched and constant backgrounds which have the periodic and parabolic trajectories.Effects of the gain-loss distribution and linear potential on the breathers and rogue waves are studied.Nonautonomous two-breathers on the arched and constant backgrounds are also derived.
基金Supported by the Natural Science Foundation of Hubei Province in China,2015CFC779the Dr.Start-up Foundation,BK1525Scientific Research Fund of Heilongjiang Provincial Education Department:12541703~~
基金supported by the National Natural Science Foundation of China(Grant Nos.62275075,11975172,and 12261131495)the Shanghai Outstanding Academic Leaders Plan (Grant No.20XD1402000)the Training Program of Innovation and Entrepreneurship for Undergraduates of Hubei Province (Grant No.S202210927036)。
文摘Realizing single light solitons that are stable in high dimensions is a long-standing goal in research of nonlinear optical physics.Here,we address a scheme to generate stable two-dimensional solitons in a cold Rydberg atomic system with a parity-time(PT) symmetric moiré optical lattice.We uncover the formation,properties,and their dynamics of fundamental and two-pole gap solitons as well as vortical ones.The PT symmetry,lattice strength,and the degrees of local and nonlocal nonlinearity are tunable and can be used to control solitons.The stability regions of these solitons are evaluated in two numerical ways:linear-stability analysis and time evolutions with perturbations.Our results provide an insightful understanding of solitons physics in combined versatile platforms of PT-symmetric systems and Rydberg–Rydberg interaction in cold gases.
