Modeling and visualization of quantum bifurcations in phase space
| Autor: | T. V. Gevorgyan, G. Yu. Kryuchkyan |
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| Rok vydání: | 2011 |
| Předmět: |
Physics
Hopf bifurcation Nuclear and High Energy Physics Radiation Phase (waves) Semiclassical physics Instability Atomic and Molecular Physics and Optics Biological applications of bifurcation theory symbols.namesake Classical mechanics Phase space symbols Method of quantum characteristics Radiology Nuclear Medicine and imaging Bifurcation |
| Zdroj: | Physics of Particles and Nuclei Letters. 8:473-475 |
| ISSN: | 1531-8567 1547-4771 |
| DOI: | 10.1134/s1547477111050086 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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