Quantum phase transitions in networks of Lipkin-Meshkov-Glick models.

@article{Sorokin2014QuantumPT,
  title={Quantum phase transitions in networks of Lipkin-Meshkov-Glick models.},
  author={Aleksandr V. Sorokin and Victor M. Bastidas and Tobias Brandes},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  year={2014},
  volume={90 4},
  pages={
          042141
        }
}
We study the quantum critical behavior of networks consisting of Lipkin-Meshkov-Glick models with an anisotropic ferromagnetic coupling. We focus on the low-energy properties of the system within a mean-field approach and the quantum corrections around the mean-field solution. Our results show that the weak-coupling regime corresponds to the paramagnetic phase when the local field dominates the dynamics, but the local anisotropy leads to the existence of an exponentially degenerate ground state… 

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References

SHOWING 1-10 OF 38 REFERENCES

Quantum phase transitions

Abstract We give a general introduction to quantum phase transitions in strongly correlated electron systems. These transitions, which occur at zero temperature when a non-thermal parameter g such as

Quantum signatures of chaos

The distinction between level clustering and level repulsion is one of the quantum analogues of the classical distinction between globally regular and predominantly chaotic motion (see Figs. 1, 2,

Coherent magnon optics in a ferromagnetic spinor Bose-Einstein condensate.

The dispersion relation, gap, and magnetic moment of a magnon in the ferromagnetic F = 1 spinor Bose-Einstein condensate of (87)Rb is measured and the effective magnetic moment is consistent with mean-field theory.

Bose-Einstein Condensation in Dilute Gases

1. Introduction 2. The non-interacting Bose gas 3. Atomic properties 4. Trapping and cooling of atoms 5. Interactions between atoms 6. Theory of the condensed state 7. Dynamics of the condensate 8.

Single-Molecule Magnets and Related Phenomena

A personal perspective is given of progress in single-molecule magnets (SMMs) and related phenomena over the last decade. Progress is discussed under seven headings: “Lanthanide Single-Molecule

Phys

  • Rev. Lett. 99, 050402
  • 2007

Phys

  • Rev. Lett. 109, 053601
  • 2012

Phys

  • Rev. A 81, 063604
  • 2010