Chaotic signatures in the spectrum of a quantum double well

R. Berkovits; Y. Ashkenazy; L. P. Horwitz; J. Levitan

doi:10.1016/S0378-4371(97)00009-5

Chaotic signatures in the spectrum of a quantum double well

R. Berkovits, Y. Ashkenazy, L. P. Horwitz, J. Levitan

Department of Physics

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9 Scopus citations

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.

Original language	English
Pages (from-to)	279-284
Number of pages	6
Journal	Physica A: Statistical Mechanics and its Applications
Volume	238
Issue number	1-4
DOIs	https://doi.org/10.1016/S0378-4371(97)00009-5
State	Published - 15 Apr 1997

Keywords

Quantum chaos
Quantum double well

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10.1016/S0378-4371(97)00009-5

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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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AB - 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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Chaotic signatures in the spectrum of a quantum double well

Abstract

Keywords

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