TY - JOUR
T1 - Localization transition in weakly interacting Bose superfluids in one-dimensional quasiperdiodic lattices
AU - Lellouch, Samuel
AU - Sanchez-Palencia, Laurent
N1 - Publisher Copyright:
© 2014 American Physical Society.
PY - 2014/12/29
Y1 - 2014/12/29
N2 - 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.
AB - 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.
U2 - 10.1103/PhysRevA.90.061602
DO - 10.1103/PhysRevA.90.061602
M3 - Article
AN - SCOPUS:84920201752
SN - 1050-2947
VL - 90
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 6
M1 - 061602
ER -