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From super-Bloch oscillations to sudden self-trapping in Bose–Einstein condensates with inter-atomic interactions

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Abstract

We study super-Bloch oscillations of ultracold atoms loaded in a lattice potential. We consider nonlinear contribution emerging from a mean-field approximation for the inter-particle interactions, as well as the wave-packet subjected to a time-dependent force which arises from a uniform acceleration of the condensate superposed with an additional harmonic modulation. Contrary to expectation, we describe long-lived super-Bloch oscillations for systems with inter-particle interaction even for initial atomic clouds fully localized. Furthermore, we showed a detailed study that characterizes the regime in which such phenomenology still survives. However, we reveal how super-Bloch oscillations cease to exist in the regime of strong enough inter-atomic interactions: The system suddenly migrates from super-Bloch oscillations to a self-trapped regime. In addition to show a phase diagram describing how the critical nonlinearity depends on external forces, we unveil the mechanism underlying the self-trapping transition.

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Acknowledgements

F.S. Passos is grateful to J.G. Silva Junior and T.P. Lobo for the support and useful discussions. This work was partially supported by CNPq (Brazilian National Council for Scientific and Technological Development) and FAPEAL (Alagoas State Agency).

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  1. Coordenação de Física, Instituto Federal de Alagoas, Maceió, Alagoas, 57020-600, Brazil

    F. S. Passos

  2. Instituto de Física, Universidade Federal de Alagoas, Maceió, Alagoas, 57072-900, Brazil

    W. S. Dias

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Passos, F.S., Dias, W.S. From super-Bloch oscillations to sudden self-trapping in Bose–Einstein condensates with inter-atomic interactions. Nonlinear Dyn 102, 329–337 (2020). https://doi.org/10.1007/s11071-020-05979-8

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