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Spontaneous Exact Spin-Wave Fractals in Magnonic Crystals
Daniel Richardson, Boris Kalinikos, Lincoln D. Carr +1
Exact fractals of nonlinear waves that rely on strong dispersion and nonlinearity and arise spontaneously out of magnetic media were observed for the first time. The experiments ma…
The Nonlinear Dirac Equation in Bose-Einstein Condensates: Foundation and Symmetries
L. H. Haddad, L. D. Carr
We show that Bose-Einstein condensates in a honeycomb optical lattice are described by a nonlinear Dirac equation in the long wavelength, mean field limit. Unlike nonlinear Dirac e…
Exact Dynamics of Multicomponent Bose-Einstein Condensates in Optical Lattices in One, Two and Three Dimensions
R. Mark Bradley, James E. Bernard, L. D. Carr
Numerous exact solutions to the nonlinear mean-field equations of motion are constructed for multicomponent Bose-Einstein condensates on one, two, and three dimensional optical lat…
Topological Winding and Unwinding in Metastable Bose-Einstein Condensates
Rina Kanamoto, Lincoln D. Carr, Masahito Ueda
Topological winding and unwinding in a quasi-one-dimensional metastable Bose-Einstein condensate are shown to be manipulated by changing the strength of interaction or the frequenc…
Observation of Spin Wave Soliton Fractals in Magnetic Film Active Feedback Rings
Mingzhong Wu, Boris A. Kalinikos, Lincoln D. Carr +1
The manifestation of fractals in soliton dynamics has been observed for the first time. The experiment utilized self-generated spin wave envelope solitons in a magnetic film based…
Bose-Einstein Condensates in Rotating Lattices
Rajiv Bhat, L. D. Carr, M. J. Holland
Strongly interacting bosons in 2D in a rotating square lattice are investigated via a modified Bose-Hubbard Hamiltonian. Such a system corresponds to a rotating lattice potential i…
Period doubling, two-color lattices, and the growth of swallowtails in Bose-Einstein condensates
B. T. Seaman, L. D. Carr, M. J. Holland
The band structure of a Bose-Einstein condensate is studied for lattice traps of sinusoidal, Jacobi elliptic, and Kronig-Penney form. It is demonstrated that the physical propertie…