Spatial entanglement of bosons in optical lattices.

@article{Cramer2013SpatialEO,
  title={Spatial entanglement of bosons in optical lattices.},
  author={Marcus Cramer and Alain Bernard and Nicole Fabbri and Leonardo Fallani and Chiara Fort and Sara Rosi and Filippo Caruso and Massimo Inguscio and Martin Bodo Plenio},
  journal={Nature communications},
  year={2013},
  volume={4},
  pages={
          2161
        }
}
Entanglement is a fundamental resource for quantum information processing, occurring naturally in many-body systems at low temperatures. The presence of entanglement and, in particular, its scaling with the size of system partitions underlies the complexity of quantum many-body states. The quantitative estimation of entanglement in many-body systems represents a major challenge, as it requires either full-state tomography, scaling exponentially in the system size, or the assumption of… 
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References

SHOWING 1-10 OF 48 REFERENCES
Measuring entanglement in condensed matter systems.
TLDR
This work shows how entanglement may be quantified in spin and cold atom many-body systems using standard experimental techniques only and relies solely on global measurements that are routinely performed and is versatile enough to accommodate systems and measurements different from the ones the authors exemplify in this work.
Area laws for the entanglement entropy - a review
Physical interactions in quantum many-body systems are typically local: Individual constituents interact mainly with their few nearest neighbors. This locality of interactions is inherited by a decay
Controlled collisions for multi-particle entanglement of optically trapped atoms
TLDR
This work reports the creation of highly entangled states of neutral atoms trapped in the periodic potential of an optical lattice, and observes a coherent entangling–disentangling evolution in the many-body system, depending on the phase shift acquired during the collision between neighbouring atoms.
Scalable multiparticle entanglement of trapped ions
TLDR
The scalable and deterministic generation of four-, five-, six-, seven- and eight-particle entangled states of the W type with trapped ions are reported, which obtain the maximum possible information on these states by performing full characterization via state tomography, using individual control and detection of the ions.
Colloquium: Area laws for the entanglement entropy
Physical interactions in quantum many-body systems are typically local: Individual constituents interact mainly with their few nearest neighbors. This locality of interactions is inherited by a decay
Quantum dynamics and entanglement of spins on a square lattice
TLDR
A comprehensive set of neutron scattering measurements are described that reveal a non-spin-wave continuum and strong quantum effects, suggesting entanglement of spins at short distances in the simplest of all two-dimensional quantum antiferromagnets, the square lattice Heisenberg system.
Quantum entanglement
All our former experience with application of quantum theory seems to say that what is predicted by quantum formalism must occur in the laboratory. But the essence of quantum formalism— entanglement,
Atom-chip-based generation of entanglement for quantum metrology
TLDR
The experimental generation of multi-particle entanglement on an atom chip is reported by controlling elastic collisional interactions with a state-dependent potential to generate spin-squeezed states of a two-component Bose–Einstein condensate; such states are a useful resource for quantum metrology.
Observation of Correlated Particle-Hole Pairs and String Order in Low-Dimensional Mott Insulators
TLDR
By using high-resolution imaging of low-dimensional quantum gases in an optical lattice, this work directly detects correlated particle-hole pairs with single-site and single-particle sensitivity and observes string order in the one-dimensional case.
Quantifying entanglement with witness operators
TLDR
An infinite family of new entanglement quantifiers is introduced, having as its limits the best separable approximation measure and the generalized robustness, and provides sharper bounds to d_(min) and E_D than the negativity in most the states.
...
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