Quantum chaos in a harmonic waveguide with scatterers
- URL: http://arxiv.org/abs/2301.06065v2
- Date: Thu, 7 Sep 2023 17:20:45 GMT
- Title: Quantum chaos in a harmonic waveguide with scatterers
- Authors: Vladimir A. Yurovsky (School of Chemistry, Tel Aviv University)
- Abstract summary: A set of zero-range scatterers along its axis lifts the integrability of a harmonic waveguide.
Integrability-chaos transition can be explored as the model chaoticity increases with the number of scatterers.
The regime of complete quantum chaos and eigenstate thermalization can be approached with 32 scatterers.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: A set of zero-range scatterers along its axis lifts the integrability of a
harmonic waveguide. Effective solution of the Schr\"odinger equation for this
model is possible due to the separable nature of the scatterers and millions of
eigenstates can be calculated using modest computational resources.
Integrability-chaos transition can be explored as the model chaoticity
increases with the number of scatterers and their strengths. The regime of
complete quantum chaos and eigenstate thermalization can be approached with 32
scatterers. This is confirmed by properties of energy spectra, the inverse
participation ratio, and fluctuations of observable expectation values.
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