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Updated: Jun 25, 2026
06:42
Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Distribution of resonances in the quantum open baker map
Juan M Pedrosa1, Gabriel G Carlo, Diego A Wisniacki
1Departamento de Física, CNEA, Av. Libertador 8250, C1429BNP Buenos Aires, Argentina.
Summary
We analyzed the quantum open baker map, revealing how the escape region
Area of Science:
- Quantum Chaos and Statistical Mechanics
Background:
- The baker map is a fundamental model in classical and quantum chaos.
- Studying open quantum systems is crucial for understanding energy dissipation and decoherence.
Purpose of the Study:
- To investigate the spectral properties of the quantum open baker map.
- To analyze the impact of system opening on quantum dynamics and eigenvalue distributions.
Main Methods:
- Analysis of the classical forward trapped set.
- Derivation and study of the quantum nonunitary evolution operator.
- Examination of eigenvalue distributions based on escape region location.
Main Results:
- Eigenvalue distribution is highly sensitive to the escape region's position relative to the map's discontinuity.
- New insights into the relationship between classical escape rates and quantum decay rates.
- Confirmation of the fractal Weyl law's validity across different configurations.
Conclusions:
- The opening mechanism significantly alters the spectral properties of the quantum baker map.
- The study provides a deeper understanding of open quantum chaotic systems.
- The fractal Weyl law remains a robust descriptor for these systems.
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