Localization transition in weakly-interacting Bose superfluids in one-dimensional quasiperdiodic lattices - Institut d'Optique Graduate School Access content directly
Preprints, Working Papers, ... 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 multi-harmonic 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. 2014. ⟨hal-01025942v1⟩
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