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Semiclassical singularities from bifurcating orbits.

C Manderfeld1, H Schomerus

  • 1Fachbereich Physik, Universität-Gesamthochschule Essen, 45 117 Essen, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 21, 2001
PubMed
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Quantum systems mirror classical bifurcation singularities. Numerical simulations of a kicked top show good agreement with semiclassical predictions, linking classical and quantum behaviors.

Area of Science:

  • Quantum mechanics
  • Classical mechanics
  • Dynamical systems

Background:

  • Classical systems exhibit singular behavior at bifurcation points.
  • Understanding the quantum mechanical manifestations of these classical phenomena is crucial.

Purpose of the Study:

  • To numerically investigate the quantum behavior of a generic quantum system, specifically the kicked top.
  • To determine how classical system singularities at bifurcations are reflected in their quantum counterparts.

Main Methods:

  • Numerical simulations were performed on a generic quantum system (kicked top).
  • The study focused on analyzing the system's behavior near bifurcation points.

Main Results:

  • The quantum system displayed behavior analogous to classical singularities at bifurcations.

Related Experiment Videos

  • Numerical results showed good agreement with established semiclassical predictions.

    • Conclusions:

    • Quantum systems can reflect the singular dynamics observed in classical systems at bifurcations.
    • Semiclassical methods provide accurate predictions for these quantum phenomena.