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

Quantum Gases 2015-06-22 v2

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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Cite

@article{arxiv.1407.5156,
  title  = {Localization transition in weakly-interacting Bose superfluids in one-dimensional quasiperdiodic lattices},
  author = {Samuel Lellouch and Laurent Sanchez-Palencia},
  journal= {arXiv preprint arXiv:1407.5156},
  year   = {2015}
}

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