



@article {1478,
	title = {Quantum correlations and entanglement in far-from-equilibrium spin  systems
},
	journal = {Physical Review A},
	volume = {90},
	year = {2014},
	month = {2014/12/15},
	abstract = {  By applying complementary analytic and numerical methods, we investigate the
dynamics of spin-$1/2$ XXZ models with variable-range interactions in arbitrary
dimensions. The dynamics we consider is initiated from uncorrelated states that
are easily prepared in experiments, and can be equivalently viewed as either
Ramsey spectroscopy or a quantum quench. Our primary focus is the dynamical
emergence of correlations and entanglement in these far-from-equilibrium
interacting quantum systems: we characterize these correlations by the
entanglement entropy, concurrence, and squeezing, which are inequivalent
measures of entanglement corresponding to different quantum resources. In one
spatial dimension, we show that the time evolution of correlation functions
manifests a non-perturbative dynamic singularity. This singularity is
characterized by a universal power-law exponent that is insensitive to small
perturbations. Explicit realizations of these models in current experiments
using polar molecules, trapped ions, Rydberg atoms, magnetic atoms, and
alkaline-earth and alkali atoms in optical lattices, along with the relative
merits and limitations of these different systems, are discussed.
},
	doi = {10.1103/PhysRevA.90.063622},
	url = {http://arxiv.org/abs/1406.0937v1},
	author = {Kaden R. A. Hazzard and Mauritz van den Worm and Michael Foss-Feig and Salvatore R. Manmana and Emanuele Dalla Torre and Tilman Pfau and Michael Kastner and Ana Maria Rey}
}
@article {1474,
	title = {Far from equilibrium quantum magnetism with ultracold polar molecules},
	journal = {Physical Review Letters},
	volume = {110},
	year = {2013},
	month = {2013/2/11},
	abstract = {  Recent theory has indicated how to emulate tunable models of quantum
magnetism with ultracold polar molecules. Here we show that present molecule
optical lattice experiments can accomplish three crucial goals for quantum
emulation, despite currently being well below unit filling and not quantum
degenerate. The first is to verify and benchmark the models proposed to
describe these systems. The second is to prepare correlated and possibly useful
states in well-understood regimes. The third is to explore many-body physics
inaccessible to existing theoretical techniques. Our proposal relies on a
non-equilibrium protocol that can be viewed either as Ramsey spectroscopy or an
interaction quench. It uses only routine experimental tools available in any
ultracold molecule experiment.
},
	doi = {10.1103/PhysRevLett.110.075301},
	url = {http://arxiv.org/abs/1209.4076v1},
	author = {Kaden R. A. Hazzard and Salvatore R. Manmana and Michael Foss-Feig and Ana Maria Rey}
}
@article {1184,
	title = {Topological phases in ultracold polar-molecule quantum magnets},
	journal = {Physical Review B},
	volume = {87},
	year = {2013},
	month = {2013/2/26},
	abstract = {  We show how to use polar molecules in an optical lattice to engineer quantum
spin models with arbitrary spin S >= 1/2 and with interactions featuring a
direction-dependent spin anisotropy. This is achieved by encoding the effective
spin degrees of freedom in microwave-dressed rotational states of the molecules
and by coupling the spins through dipolar interactions. We demonstrate how one
of the experimentally most accessible anisotropies stabilizes symmetry
protected topological phases in spin ladders. Using the numerically exact
density matrix renormalization group method, we find that these interacting
phases -- previously studied only in the nearest-neighbor case -- survive in
the presence of long-range dipolar interactions. We also show how to use our
approach to realize the bilinear-biquadratic spin-1 and the Kitaev honeycomb
models. Experimental detection schemes and imperfections are discussed.
},
	doi = {10.1103/PhysRevB.87.081106},
	url = {http://arxiv.org/abs/1210.5518v2},
	author = {Salvatore R. Manmana and E. M. Stoudenmire and Kaden R. A. Hazzard and Ana Maria Rey and Alexey V. Gorshkov}
}
@article {1181,
	title = {Quantum Magnetism with Polar Alkali Dimers},
	journal = {Physical Review A},
	volume = {84},
	year = {2011},
	month = {2011/9/15},
	abstract = {  We show that dipolar interactions between ultracold polar alkali dimers in
optical lattices can be used to realize a highly tunable generalization of the
t-J model, which we refer to as the t-J-V-W model. The model features
long-range spin-spin interactions J_z and J_perp of XXZ type, long-range
density-density interaction V, and long-range density-spin interaction W, all
of which can be controlled in both magnitude and sign independently of each
other and of the tunneling t. The "spin" is encoded in the rotational degree of
freedom of the molecules, while the interactions are controlled by applied
static electric and continuous-wave microwave fields. Furthermore, we show that
nuclear spins of the molecules can be used to implement an additional (orbital)
degree of freedom that is coupled to the original rotational degree of freedom
in a tunable way. The presented system is expected to exhibit exotic physics
and to provide insights into strongly correlated phenomena in condensed matter
systems. Realistic experimental imperfections are discussed.
},
	doi = {10.1103/PhysRevA.84.033619},
	url = {http://arxiv.org/abs/1106.1655v1},
	author = {Alexey V. Gorshkov and Salvatore R. Manmana and Gang Chen and Eugene Demler and Mikhail D. Lukin and Ana Maria Rey}
}
@article {1198,
	title = {Tunable Superfluidity and Quantum Magnetism with Ultracold Polar  Molecules
},
	journal = {Physical Review Letters},
	volume = {107},
	year = {2011},
	month = {2011/9/8},
	abstract = {  By selecting two dressed rotational states of ultracold polar molecules in an
optical lattice, we obtain a highly tunable generalization of the t-J model,
which we refer to as the t-J-V-W model. In addition to XXZ spin exchange, the
model features density-density interactions and novel density-spin
interactions; all interactions are dipolar. We show that full control of all
interaction parameters in both magnitude and sign can be achieved independently
of each other and of the tunneling. As a first step towards demonstrating the
potential of the system, we apply the density matrix renormalization group
method (DMRG) to obtain the 1D phase diagram of the simplest experimentally
realizable case. Specifically, we show that the tunability and the long-range
nature of the interactions in the t-J-V-W model enable enhanced superfluidity.
Finally, we show that Bloch oscillations in a tilted lattice can be used to
probe the phase diagram experimentally.
},
	doi = {10.1103/PhysRevLett.107.115301},
	url = {http://arxiv.org/abs/1106.1644v1},
	author = {Alexey V. Gorshkov and Salvatore R. Manmana and Gang Chen and Jun Ye and Eugene Demler and Mikhail D. Lukin and Ana Maria Rey}
}
