Entanglement in many-body systems

@article{Amico2007EntanglementIM,
  title={Entanglement in many-body systems},
  author={Luigi Amico and Rosario Fazio and Andreas Osterloh and Vlatko Vedral},
  journal={Reviews of Modern Physics},
  year={2007},
  volume={80},
  pages={517-576}
}
Recent interest in aspects common to quantum information and condensed matter has prompted a flurry of activity at the border of these disciplines that were far distant until a few years ago. Numerous interesting questions have been addressed so far. Here an important part of this field, the properties of the entanglement in many-body systems, are reviewed. The zero and finite temperature properties of entanglement in interacting spin, fermion, and boson model systems are discussed. Both… 

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References

SHOWING 1-10 OF 506 REFERENCES

ENTANGLEMENT AND FRUSTRATION IN ORDERED SYSTEMS

This article reviews and extends recent results concerning entanglement and frustration in multipartite systems which have some symmetry with respect to the ordering of the particles. Starting point

Many-particle entanglement with Bose–Einstein condensates

This work proposes a method to achieve substantial entanglement of a large number of atoms in a Bose–Einstein condensate, which is then allowed to evolve freely and should be realizable with present technology.

Entanglement and criticality in quantum impurity systems.

It is demonstrated that the entanglement between the spin and its environment is always enhanced at the quantum phase transition resulting in a visible cusp (maximum) in the entropy ofEntanglement.

Divergence of the entanglement range in low-dimensional quantum systems

We study the pairwise entanglement close to separable ground states of a class of one-dimensional quantum spin models. At $T=0$ we find that such ground states separate regions, in the space of the

Reading entanglement in terms of spin configurations in quantum magnets

Abstract. We consider a quantum many-body system made of N interacting S=1/2 spins on a lattice, and develop a formalism which allows to extract, out of conventional magnetic observables, the quantum

Two-point versus multipartite entanglement in quantum phase transitions.

This work analyzes correlations between subsystems for an extended Hubbard model exactly solvable in one dimension, which exhibits a rich structure of quantum phase transitions (QPTs) and discusses the role of negativity at the transition.

Entanglement in continuous-variable systems: recent advances and current perspectives

We review the theory of continuous-variable entanglement with special emphasis on foundational aspects, conceptual structures and mathematical methods. Much attention is devoted to the discussion of

Entanglement in quantum critical phenomena.

The results establish a precise connection between concepts of quantum information, condensed matter physics, and quantum field theory, by showing that the behavior of critical entanglement in spin systems is analogous to that of entropy in conformal field theories.

Entanglement and entropy in a spin-boson quantum phase transition (8 pages)

We investigate the entanglement properties of an ensemble of atoms interacting with a single bosonic field mode via the Dicke (superradiance) Hamiltonian. The model exhibits a quantum phase

Dynamics of entanglement in one-dimensional spin systems (24 pages)

We study the dynamics of quantum correlations in a class of exactly solvable Ising-type models. We analyze in particular the time evolution of initial Bell states created in a fully polarized
...