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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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Preprints, Working Papers, ...
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https://hal-iogs.archives-ouvertes.fr/hal-01025942
Contributor : Laurent Sanchez-Palencia <>
Submitted on : Friday, July 18, 2014 - 6:26:34 PM
Last modification on : Thursday, November 12, 2020 - 10:12:08 AM
Long-term archiving on: : Monday, November 24, 2014 - 8:06:41 PM

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  • HAL Id : hal-01025942, version 1
  • ARXIV : 1407.5156

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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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