



@article {1190,
	title = {Bilayer fractional quantum Hall states with ultracold dysprosium},
	journal = {Physical Review A},
	volume = {92},
	year = {2015},
	month = {2015/09/10},
	pages = {033609},
	abstract = {  We show how dipolar interactions between dysprosium atoms in an optical
lattice can be used to obtain fractional quantum Hall states. In our approach,
dysprosium atoms are trapped one atom per site in a deep optical lattice with
negligible tunneling. Microwave and spatially dependent optical dressing fields
are used to define an effective spin-1/2 or spin-1 degree of freedom in each
atom. Thinking of spin-1/2 particles as hardcore bosons, dipole-dipole
interactions give rise to boson hopping, topological flat bands with Chern
number 1, and the \nu = 1/2 Laughlin state. Thinking of spin-1 particles as
two-component hardcore bosons, dipole-dipole interactions again give rise to
boson hopping, topological flat bands with Chern number 2, and the bilayer
Halperin (2,2,1) state. By adjusting the optical fields, we find a phase
diagram, in which the (2,2,1) state competes with superfluidity.
Generalizations to solid-state magnetic dipoles are discussed.
},
	doi = {10.1103/PhysRevA.92.033609},
	url = {http://arxiv.org/abs/1505.03099v1},
	author = {Norman Y. Yao and Steven D. Bennett and Chris R. Laumann and Benjamin L. Lev and Alexey V. Gorshkov}
}
@article {1186,
	title = {Controllable quantum spin glasses with magnetic impurities embedded in  quantum solids
},
	journal = {Physical Review B},
	volume = {88},
	year = {2013},
	month = {2013/7/24},
	abstract = {  Magnetic impurities embedded in inert solids can exhibit long coherence times
and interact with one another via their intrinsic anisotropic dipolar
interaction. We argue that, as a consequence of these properties, disordered
ensembles of magnetic impurities provide an effective platform for realizing a
controllable, tunable version of the dipolar quantum spin glass seen in
LiHo$_x$Y$_{1-x}$F$_4$. Specifically, we propose and analyze a system composed
of dysprosium atoms embedded in solid helium. We describe the phase diagram of
the system and discuss the realizability and detectability of the quantum spin
glass and antiglass phases.
},
	doi = {10.1103/PhysRevB.88.014426},
	url = {http://arxiv.org/abs/1307.1130v1},
	author = {Mikhail Lemeshko and Norman Y. Yao and Alexey V. Gorshkov and Hendrik Weimer and Steven D. Bennett and Takamasa Momose and Sarang Gopalakrishnan}
}
@article {1199,
	title = {Quantum Logic between Remote Quantum Registers},
	journal = {Physical Review A},
	volume = {87},
	year = {2013},
	month = {2013/2/6},
	abstract = {  We analyze two approaches to quantum state transfer in solid-state spin
systems. First, we consider unpolarized spin-chains and extend previous
analysis to various experimentally relevant imperfections, including quenched
disorder, dynamical decoherence, and uncompensated long range coupling. In
finite-length chains, the interplay between disorder-induced localization and
decoherence yields a natural optimal channel fidelity, which we calculate.
Long-range dipolar couplings induce a finite intrinsic lifetime for the
mediating eigenmode; extensive numerical simulations of dipolar chains of
lengths up to L=12 show remarkably high fidelity despite these decay processes.
We further consider the extension of the protocol to bosonic systems of coupled
oscillators. Second, we introduce a quantum mirror based architecture for
universal quantum computing which exploits all of the spins in the system as
potential qubits. While this dramatically increases the number of qubits
available, the composite operations required to manipulate "dark" spin qubits
significantly raise the error threshold for robust operation. Finally, as an
example, we demonstrate that eigenmode-mediated state transfer can enable
robust long-range logic between spatially separated Nitrogen-Vacancy registers
in diamond; numerical simulations confirm that high fidelity gates are
achievable even in the presence of moderate disorder.
},
	doi = {10.1103/PhysRevA.87.022306},
	url = {http://arxiv.org/abs/1206.0014v1},
	author = {Norman Y. Yao and Zhe-Xuan Gong and Chris R. Laumann and Steven D. Bennett and L. -M. Duan and Mikhail D. Lukin and Liang Jiang and Alexey V. Gorshkov}
}
@article {1201,
	title = {Topological Flat Bands from Dipolar Spin Systems},
	journal = {Physical Review Letters},
	volume = {109},
	year = {2012},
	month = {2012/12/26},
	abstract = {  We propose and analyze a physical system that naturally admits
two-dimensional topological nearly flat bands. Our approach utilizes an array
of three-level dipoles (effective S = 1 spins) driven by inhomogeneous
electromagnetic fields. The dipolar interactions produce arbitrary uniform
background gauge fields for an effective collection of conserved hardcore
bosons, namely, the dressed spin-flips. These gauge fields result in
topological band structures, whose bandgap can be larger than the corresponding
bandwidth. Exact diagonalization of the full interacting Hamiltonian at
half-filling reveals the existence of superfluid, crystalline, and supersolid
phases. An experimental realization using either ultra-cold polar molecules or
spins in the solid state is considered.
},
	doi = {10.1103/PhysRevLett.109.266804},
	url = {http://arxiv.org/abs/1207.4479v3},
	author = {Norman Y. Yao and Chris R. Laumann and Alexey V. Gorshkov and Steven D. Bennett and Eugene Demler and Peter Zoller and Mikhail D. Lukin}
}
