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Related Experiment Video

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Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

On-manifold localization in open quantum maps.

Domenico Lippolis¹, Jung-Wan Ryu, Soo-Young Lee

¹Department of Physics, Pusan National University, Busan 609-735, South Korea. domenico@pusan.ac.kr

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|February 2, 2013

Summary

Opening a quantized chaotic map affects wave function intensity localization. Scars in Husimi distributions relocate based on opening position, influenced by mode interaction for asymmetric openings, and show similar patterns in dielectric microcavities.

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Area of Science:

Quantum chaos
Wave function localization
Complex systems

Background:

Quantized chaotic maps exhibit wave function intensity localization.
Husimi distributions reveal patterns like scars within these maps.
Understanding the impact of system openness on these patterns is crucial.

Purpose of the Study:

To investigate the influence of system openness on scar patterns in quantized chaotic maps.
To understand how losses affect wave function localization.
To explore the role of opening position and mode interaction.

Main Methods:

Numerical experiments on a quantized chaotic map.
Analysis of Husimi distributions to observe scar patterns.
Classical arguments to explain observed phenomena.
Simulations of dielectric microcavities.

Main Results:

Scars relocate to stable or unstable manifolds depending on the opening's position.
Asymmetric openings lead to mode interaction influencing localization patterns.
Similar localization phenomena are observed in simulated dielectric microcavities.

Conclusions:

System openness significantly alters wave function localization patterns in quantized chaotic maps.
The position of openings and mode interactions are key factors in determining scar relocation.
The findings have implications for understanding wave localization in physical systems like microcavities.