Engineered two-dimensional Ising interactions in a trapped-ion quantum simulator with hundreds of spins

@article{Britton2012EngineeredTI,
  title={Engineered two-dimensional Ising interactions in a trapped-ion quantum simulator with hundreds of spins},
  author={Joseph W. Britton and Brian C. Sawyer and Adam C. Keith and C.C.-Joseph Wang and James K. Freericks and Hermann Uys and Michael J. Biercuk and John J. Bollinger},
  journal={Nature},
  year={2012},
  volume={484},
  pages={489-492}
}
The presence of long-range quantum spin correlations underlies a variety of physical phenomena in condensed-matter systems, potentially including high-temperature superconductivity. However, many properties of exotic, strongly correlated spin systems, such as spin liquids, have proved difficult to study, in part because calculations involving N-body entanglement become intractable for as few as N ≈ 30 particles. Feynman predicted that a quantum simulator—a special-purpose ‘analogue’ processor… 
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References

SHOWING 1-10 OF 69 REFERENCES
Simulating a quantum magnet with trapped ions
To gain deeper insight into the dynamics of complex quantum systems we need a quantum leap in computer simulations. We cannot translate quantum behaviour arising from superposition states or
Onset of a quantum phase transition with a trapped ion quantum simulator.
TLDR
This work simulates the emergence of magnetism by implementing a fully connected non-uniform ferromagnetic quantum Ising model using up to 9 trapped (171)Yb(+) ions, providing a critical benchmark for the simulation of intractable arbitrary fully connected Ising models in larger systems.
Quantum simulation of antiferromagnetic spin chains in an optical lattice
TLDR
By demonstrating a route to quantum magnetism in an optical lattice, this work should facilitate further investigations of magnetic models using ultracold atoms, thereby improving the understanding of real magnetic materials.
Quantum simulation of frustrated Ising spins with trapped ions
TLDR
Here, a quantum simulation of frustrated Ising spins in a system of three trapped atomic ions, whose interactions are precisely controlled using optical forces is realized, finding a link between frustration and ground-state entanglement.
Experimental demonstration of a robust, high-fidelity geometric two ion-qubit phase gate
TLDR
A universal geometric π-phase gate between two beryllium ion-qubits is demonstrated, based on coherent displacements induced by an optical dipole force, which makes it attractive for a multiplexed trap architecture that would enable scaling to large numbers of ions.
High-fidelity quantum control using ion crystals in a penning trap
TLDR
Recent efforts aimed at studying the error-suppressing capabilities of dynamical decoupling pulse sequences are described, demonstrating an ability to extend qubit coherence and suppress phase errors.
Spinons and triplons in spatially anisotropic frustrated antiferromagnets
The search for elementary excitations with fractional quantum numbers is a central challenge in modern condensed-matter physics. It has long been speculated that two-dimensional frustrated magnets
Synthetic magnetic fields for ultracold neutral atoms
TLDR
This work experimentally realizes an optically synthesized magnetic field for ultracold neutral atoms, which is evident from the appearance of vortices in the authors' Bose–Einstein condensate, and uses a spatially dependent optical coupling between internal states of the atoms, yielding a Berry’s phase sufficient to create large synthetic magnetic fields.
Itinerant Ferromagnetism in a Fermi Gas of Ultracold Atoms
TLDR
The observation of nonmonotonic behavior of lifetime, kinetic energy, and size for increasing repulsive interactions provides strong evidence for a phase transition to a ferromagnetic state, and the observations imply that itinerant ferromagnetism of delocalized fermions is possible without lattice and band structure.
Quantum Information and Computation (QUIC)
Abstract : A broad, multidisciplinary program has been pursued in the area of quantum computation and information. Principal accomplishments include an experiment to localize atoms within a high
...
1
2
3
4
5
...