Condensate oscillations in a Penrose tiling lattice |
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| Institution: | 1. Department of Mechanical Engineering, University of California at Santa Barbara, Santa Barbara, CA 93106, USA;2. Departament of Eletrical Engineering, Federal University of São Carlos, Rodovia Washington Luis, km 235, São Carlos, 13565-905, São Paulo, Brazil;3. School of Mechanical Engineering, Federal University of Uberlândia, João Naves de Ávila Avenue, 2121, bloco 5P, Uberlândia, Minas Gerais, 38400-902 Brazil;4. Department of Engineering, Federal University of Goiás - Regional Catalão, Dr. Lamartine Pinto de Avelar,Catalão, 1120, Goiás, Brazil |
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| Abstract: | We study the dynamics of a Bose-Einstein condensate subject to a particular Penrose tiling lattice. In such a lattice, the potential energy at each site depends on the neighbour sites, accordingly to the model introduced by Sutherland 16]. The Bose-Einstein wavepacket, initially at rest at the lattice symmetry center, is released. We observe a very complex time-evolution that strongly depends on the symmetry center (two choices are possible), on the potential energy landscape dispersion, and on the interaction strength. The condensate-width oscillates at different frequencies and we can identify large-frequency reshaping oscillations and low-frequency rescaling oscillations. We discuss in which conditions these oscillations are spatially bounded, denoting a self-trapping dynamics. |
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| Keywords: | Dynamic properties of condensates Quantum transport Quasicrystals |
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