Quantum magnetism of spin-ladder compounds with trapped-ion crystals

@article{Bermudez2012QuantumMO,
  title={Quantum magnetism of spin-ladder compounds with trapped-ion crystals},
  author={Alejandro Bermudez and Javier Moreno Almeida and Konstantin Ott and Henning Kaufmann and Stefan Ulm and U. Poschinger and Ferdinand Schmidt-Kaler and Alex Retzker and Martin Bodo Plenio},
  journal={New Journal of Physics},
  year={2012},
  volume={14},
  pages={093042}
}
The quest for experimental platforms that allow for the exploration, and even control, of the interplay of low dimensionality and frustration is a fundamental challenge in several fields of quantum many-body physics, such as quantum magnetism. Here, we propose the use of cold crystals of trapped ions to study a variety of frustrated quantum spin ladders. By optimizing the trap geometry, we show how to tailor the low dimensionality of the models by changing the number of legs of the ladders… 
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References

SHOWING 1-10 OF 222 REFERENCES
Simulation of quantum magnetism in mixed-spin systems with impurity-doped ion crystals
We propose the realization of linear crystals of cold ions that contain different atomic species for investigating quantum phase transitions and frustration effects in spin systems beyond the
Photon-assisted-tunneling toolbox for quantum simulations in ion traps
We describe a versatile toolbox for the quantum simulation of many-body lattice models, capable of exploring the combined effects of background Abelian and non-Abelian gauge fields, bond and site
Engineered two-dimensional Ising interactions in a trapped-ion quantum simulator with hundreds of spins
TLDR
A spin-dependent optical dipole force can produce an antiferromagnetic interaction, and this demonstration, coupled with the high spin count, excellent quantum control and low technical complexity of the Penning trap, brings within reach the simulation of otherwise computationally intractable problems in quantum magnetism.
Quantum simulation of the hexagonal Kitaev model with trapped ions
We present a detailed study of quantum simulations of coupled spin systems in surface-electrode (SE) ion-trap arrays, and illustrate our findings with a proposed implementation of the hexagonal
Quantum phases of trapped ions in an optical lattice
We propose loading trapped ions into microtraps formed by an optical lattice. For harmonic microtraps, the Coulomb coupling of the spatial motions of neighboring ions can be used to construct a broad
Experimental quantum simulations of many-body physics with trapped ions.
TLDR
An overview of different trapping techniques of ions as well as implementations for coherent manipulation of their quantum states and current approaches for scaling up to more ions and more-dimensional systems are given.
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.
Effective spin quantum phases in systems of trapped ions (11 pages)
A system of trapped ions under the action of off-resonant standing waves can be used to simulate a variety of quantum spin models. In this work, we describe theoretically quantum phases that can be
Colloquium: Trapped ions as quantum bits: Essential numerical tools
Trapped, laser-cooled atoms and ions are quantum systems which can be experimentally controlled with an as yet unmatched degree of precision. Due to the control of the motion and the internal degrees
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.
...
...