Fermi resonance in dynamical tunneling in a chaotic billiard
- Title
- Fermi resonance in dynamical tunneling in a chaotic billiard
- Author(s)
- Yi, Chang-Hwan ; Kim, Ji-Hwan ; Yu, Hyeon-Hye ; Lee, Ji-Won ; Kim, Chil-Min
- Issued Date
- 2015-08-20
- Citation
- Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, v.92, no.2
- Type
- Article
- Keywords
- ANNULAR BILLIARD ; Avoided Crossings ; Chaos Theory ; Eigenvalues and Eigenfunctions ; Fermi Resonances ; OPTICAL CAVITIES ; Quadrupoles ; QUANTUM-MECHANICS ; Quantum Numbers ; Quantum Theory ; Resonance ; Unstable Periodic Orbits
- ISSN
- 1539-3755
- Abstract
- We elucidate that Fermi resonance ever plays a decisive role in dynamical tunneling in a chaotic billiard. Interacting with each other through an avoided crossing, a pair of eigenfunctions are coupled through tunneling channels for dynamical tunneling. In this case, the tunneling channels are an islands chain and its pair unstable periodic orbit, which equals the quantum number difference of the eigenfunctions. This phenomenon of dynamical tunneling is confirmed in a quadrupole billiard in relation with Fermi resonance. © 2015 American Physical Society.
- Publisher
- American Physical Society
- Related Researcher
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Kim, Chil-Min
- Research Interests Laser; Nonlinear Dynamics; Quantum Chaos; Microcavity Laser
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- Appears in Collections:
- Department of Physics and Chemistry Micro Laser Laboratory 1. Journal Articles
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