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

Samuel Lellouch 1 Laurent Sanchez-Palencia 1
1 Laboratoire Charles Fabry / Optique atomique
LCF - Laboratoire Charles Fabry
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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Submitted on : Saturday, January 10, 2015 - 8:01:30 PM
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Samuel Lellouch, Laurent Sanchez-Palencia. Localization transition in weakly-interacting Bose superfluids in one-dimensional quasiperdiodic lattices. Physical Review A, American Physical Society, 2014, 90, pp.061602(R). ⟨10.1103/PhysRevA.90.061602⟩. ⟨hal-01025942v2⟩

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