Observing localisation in a 2D quasicrystalline optical lattice
- URL: http://arxiv.org/abs/2001.10912v1
- Date: Wed, 29 Jan 2020 15:54:42 GMT
- Title: Observing localisation in a 2D quasicrystalline optical lattice
- Authors: Matteo Sbroscia, Konrad Viebahn, Edward Carter, Jr-Chiun Yu, Alexander
Gaunt, and Ulrich Schneider
- Abstract summary: We experimentally and numerically study the ground state of non- and weakly-interacting bosons in an eightfold symmetric optical lattice.
We find extended states for weak lattices but observe a localisation transition at a lattice depth of $V_0.78(2),E_mathrmrec$ for the non-interacting system.
- Score: 52.77024349608834
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quasicrystals are long-range ordered but not periodic, representing an
interesting middle ground between order and disorder. We experimentally and
numerically study the ground state of non- and weakly-interacting bosons in an
eightfold symmetric quasicrystalline optical lattice. We find extended states
for weak lattices but observe a localisation transition at a lattice depth of
$V_0=1.78(2)\,E_{\mathrm{rec}}$ for the non-interacting system. We identify
this transition by measuring the timescale required for adiabatic loading into
the lattice, which diverges at the critical lattice depth for localisation.
Gross-Pitaevskii simulations show that in interacting systems the transition is
shifted to deeper lattices, as expected from superfluid order counteracting
localisation. Our experimental results are consistent with such a mean-field
shift. Quasiperiodic potentials, lacking conventional rare regions, provide the
ideal testing ground to realise many-body localisation in 2D.
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