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Open Quantum Systems Decoherence
Quantum Simulation
Spectra and Bifurcations
arXiv
Authors: P. Grochowski, W. Kaniowski, B. Mielnik
Year
2016
Paper ID
42450
Status
Preprint
Abstract Read
~2 min
Abstract Words
89
Citations
N/A
Abstract
The concept of spectrum for a class of non-linear wave equations is studied. Instead of looking for stability, the key to the spectral structure is found in the instability phenomena (bifurcations). This aspect is best seen in the `classical model' of the non-linear wave mechanics. The solitons (macro-localizations) are a part of the non-linear spectral problem; their bifurcations reflect the dynamical symmetry breaking. The computer simulations suggest that the bifurcations of the asymptotic behaviour occur also for the general, non-stationary states. A phenomenon of the soliton splitting is observed.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- The concept of spectrum for a class of non-linear wave equations is studied.
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