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Modeling and visualization of quantum bifurcations in phase space

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Abstract

We investigate quantum-mechanical counterpart of a classical instability in a phase space by the numerical method of quantum trajectories with moving basis. As an application the model of coupled two oscillators driven by a monochromatic force in the presence of dissipation (intracavity second harmonic generation) is analyzed. The system of interest is characterized by two bifurcations leading to ranges of instability: the Hopf bifurcation which connects a steady state dynamics of the oscillatory modes to a self-pulsing temporal dynamics and the bifurcation of the period-doubling. The both two regimes are analyzed on the framework of the semiclassical phase trajectories and the Wigner functions of the oscillatory modes in phase space.

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Authors and Affiliations

  1. Institute for Physical Research of National Academy of Sciences, Ashtarak-2, 0203, Ashtarak, Armenia

    T. V. Gevorgyan & G. Yu. Kryuchkyan

Authors
  1. T. V. Gevorgyan
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  2. G. Yu. Kryuchkyan
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Correspondence to T. V. Gevorgyan.

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Gevorgyan, T.V., Kryuchkyan, G.Y. Modeling and visualization of quantum bifurcations in phase space. Phys. Part. Nuclei Lett. 8, 473–475 (2011). https://doi.org/10.1134/S1547477111050086

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  • DOI: https://doi.org/10.1134/S1547477111050086

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