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Journal Articles Physical Review A : Atomic, molecular, and optical physics [1990-2015] Year : 2014

Localization transition in weakly-interacting Bose superfluids in one-dimensional quasiperdiodic lattices

Abstract

We study the localization of collective pair excitations in weakly-interacting Bose superfluids in one-dimensional quasiperiodic lattices. The localization diagram is first determined numerically. For intermediate interaction and quasiperiodic amplitude we find a sharp localization transition, with extended low-energy states and localized high-energy states. We then develop an analytical treatment, which allows us to quantitatively map the localization transition into that of an effective multiharmonic quasiperiodic system.
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Dates and versions

hal-01025942 , version 1 (18-07-2014)
hal-01025942 , version 2 (10-01-2015)

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Samuel Lellouch, Laurent Sanchez-Palencia. Localization transition in weakly-interacting Bose superfluids in one-dimensional quasiperdiodic lattices. Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2014, 90, pp.061602(R). ⟨10.1103/PhysRevA.90.061602⟩. ⟨hal-01025942v2⟩
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