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Open quantum maps from complex scaling of kicked scattering systems
1Department of Physics, Tokyo Metropolitan University, Minami-Osawa, Hachioji 192-0397, Japan.
Physical Review. E
|May 16, 2018
Summary
We developed new open quantum maps for studying quantum-chaotic scattering systems. Current methods using strong absorption fail to accurately compute resonance spectra, unlike our theoretically grounded approach.
Area of Science:
- Quantum physics
- Mathematical physics
Background:
- Open quantum maps are used to model quantum systems with dissipation or external coupling.
- Accurate computation of resonance spectra is crucial for understanding quantum scattering phenomena.
Purpose of the Study:
- To derive theoretically grounded open quantum maps for periodically kicked scattering systems.
- To compare the accuracy of different methods for computing resonance spectra.
Main Methods:
- Derivation of open quantum maps from kicked scattering systems.
- Application of complex scaling and weak absorbing potentials.
- Analysis of strong absorptive and projective openings.
Main Results:
- Theoretically grounded methods accurately compute resonance spectra.
- Current implementations with strong absorption or projective openings fail.
- Flaws include inability to separate eigenvalues from continuum and diffraction effects.
Conclusions:
- The derived open quantum maps offer a valuable alternative for quantum-chaotic scattering research.
- Accurate resonance spectra computation is essential and requires theoretically sound methods.
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