On quantum phase crossovers in finite systems

@inproceedings{Hibberd2008OnQP,
  title={On quantum phase crossovers in finite systems},
  author={Katrina E. Hibberd},
  year={2008}
}
In this work we define a formal notion of a quantum phase crossover for certain Bethe ansatz solvable models. The approach we adopt exploits an exact mapping of the spectrum of a many-body integrable system, which admits an exact Bethe ansatz solution, into the quasi-exactly solvable spectrum of a one-body Schrödinger operator. Bifurcations of the minima for the potential of the Schrödinger operator determine the crossover couplings. By considering the behaviour of particular ground-state… CONTINUE READING
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References

Publications referenced by this paper.
Showing 1-10 of 33 references

New methods in the theory of quantum spin systems

  • V VUlyanov, O BZaslavskii
  • Phys. Rep
  • 1992
Highly Influential
5 Excerpts

Evidence for the super Tonks

  • M TBatchelor, M Bortz, X WGuan, N Oelkers
  • Girardeau gas,
  • 2005
2 Excerpts

Quantum critical behavior of two coupled Bose–Einstein condensates

  • F Pan, J PDraayer
  • Phys. Lett. A
  • 2005
1 Excerpt

Exact solution, scaling behaviour and quantum dynamics of a model of an atom-molecule Bose–Einstein condensate

  • H-Q Zhou, J Links, R HMcKenzie
  • Int. J. Mod. Phys. B
  • 2003
1 Excerpt

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