Destruction of Anderson localization in quantum nonlinear Schrödinger lattices

Milovanov, Alexander V.; Iomin, Alexander

doi:10.1103/PhysRevE.95.042142

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Destruction of Anderson localization in quantum nonlinear Schrödinger lattices

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Milovanov, Alexander V.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Iomin, Alexander
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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https://journals.aps.org/pre/abstract/10.1103/PhysRevE.95.042142
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Milovanov, A. V., & Iomin, A. (2017). Destruction of Anderson localization in quantum nonlinear Schrödinger lattices. Physical Review E, 95(4): 042142. doi:10.1103/PhysRevE.95.042142.

Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-C138-9

Abstract

The four-wave interaction in quantum nonlinear Schrodinger lattices with disorder is shown to destroy the Anderson localization of waves, giving rise to unlimited spreading of the nonlinear field to large distances. Moreover, the process is not thresholded in the quantum domain, contrary to its "classical" counterpart, and leads to an accelerated spreading of the subdiffusive type, with the dispersion (triangle n)(2) similar to t (1/ 2) for t -> +infinity. The results, presented here, shed light on the origin of subdiffusion in systems with a broad distribution of relaxation times.