2017/08/14 by Hon Wai Lau, Lau, Hon Wai, Jörn Davidsen +3
Computer Science · Earth and Planetary Sciences · Physics and Astronomy · #Atomic Physics (physics.atom-ph) #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Oceanographic and Atmospheric Processes #Pattern Formation and Solitons (nlin.PS) #Quantum Gases (cond-mat.quant-gas) #Quantum Physics (quant-ph) #Strong Light-Matter Interactions
paper · pdf · doi:10.48550/arxiv.1708.04375
openalex publication_date 2017/08/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Experimental realizations of chimera patterns, characterized by coexisting\nregions of phase coherence and incoherence, have so far only been achieved for\nnon-conservative systems with dissipation. Moreover, theoretical studies of\nchimera patterns have also been limited either to the non-conservative case or\nto simplified models that describe the dynamics only in terms of a scalar phase\nfield. Here, we show for the first time explicitly that the formation of\nchimera patterns can also be observed in conservative Hamiltonian systems with\nnonlocal hopping in which both energy and particle number are conserved, and\nwhere the local phase and amplitude are non-separable even in the weak coupling\nregime. Effective nonlocality can be realized in a physical system with only\nlocal coupling if different time scales exist, which we illustrate by a minimal\nconservative model with an additional mediating channel. Finally, we show that\nchimera patterns should be observable in ultracold atomic systems: Nonlocal\nspatial hopping over up to tens of lattice sites with independently tunable\nhopping strength and on-site nonlinearity can be implemented in a two-component\nBose-Einstein condensate with a spin-dependent optical lattice, where the\nuntrapped component serves as the matter-wave mediating field.\n