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Chaotic Signatures in the Spectrum of a Quantum Double Well

Condensed Matter 2015-06-25 v1 chao-dyn Chaotic Dynamics

Abstract

The spectrum of a double well constructed of a square barrier embedded in an infinite well is analyzed. Level statistics for levels slightly above the barrier show signs of Wigner statistics usually associated with quantum chaos. The correspondence with Wigner statistics improves when an ensemble of systems with slightly different barrier heights is taken, possibly reflecting an adiabatic time-dependent modulation of the barrier.

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Cite

@article{arxiv.cond-mat/9602008,
  title  = {Chaotic Signatures in the Spectrum of a Quantum Double Well},
  author = {R. Berkovits and Y. Ashkenazy and L. P. Horwitz and J. Levitan},
  journal= {arXiv preprint arXiv:cond-mat/9602008},
  year   = {2015}
}

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8 LaTex pages, 3 Postscript figures