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Research paper by

Yin-Chen He, Fabian Grusdt, Adam Kaufman, Markus Greiner, Ashvin Vishwanath

Indexed on

1st Mar 2017

Published on

1st Mar 2017

Published in

arXiv - Physics - Strongly Correlated Electrons

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You can find the original article on the journal website.

Go to sourceWe study the ground states of 2D lattice bosons in an artificial gauge field.
Using state of the art DMRG simulations we obtain the zero temperature phase
diagram for hardcore bosons at densities $n*b$ with flux $n*\phi$ per unit
cell, which determines a filling $\nu=n*b/n*\phi$. We find several robust
quantum Hall phases, including (i) a bosonic integer quantum Hall phase (BIQH)
at $\nu=2$, that realizes an interacting symmetry protected topological phase
in 2D (ii) bosonic fractional quantum Hall phases including robust states at
$\nu=2/3$ and a Laughlin state at $\nu=1/2$. The observed states correspond to
the bosonic Jain sequence ($\nu=p/(p+1)$) pointing towards an underlying
composite fermion picture. In addition to identifying Hamiltonians whose ground
states realize these phases, we discuss their preparation beginning in the
independent chain limit of 1D Luttinger liquids, and ramping up interchain
couplings. Using time dependent DMRG simulations, these are shown to reliably
produce states close to the ground state for experimentally relevant system
sizes. We utilize a simple physical signature of these phases, the
non-monotonic behavior of a two-point correlation, a direct consequence of edge
states in a finite system, to numerically assess the effectiveness of the
preparation scheme. Our proposal only utilizes existing experimental
capabilities.