Fano interference and cross-section fluctuations in molecular photodissociation
arXiv:cond-mat/0309521 · doi:10.1103/PhysRevA.73.042711
Abstract
We derive an expression for the total photodissociation cross section of a molecule incorporating both indirect processes that proceed through excited resonances, and direct processes. We show that this cross section exhibits generalized Beutler-Fano line shapes in the limit of isolated resonances. Assuming that the closed system can be modeled by random matrix theory, we derive the statistical properties of the photodissociation cross section and find that they are significantly affected by the direct processes. We identify a unique signature of the direct processes in the cross-section distribution in the limit of isolated resonances.
arXiv comment4 pages, 4 figures
References in corpus (15)
- Random Matrix Theories in Quantum Physics: Common Concepts
- The Statistical Theory of Quantum Dots
- Statistics of resonance poles, phase shifts and time delays in quantum chaotic scattering for systems with broken time reversal invariance
- Fano Resonances in Electronic Transport through a Single Electron Transistor
- Fano resonances as a probe of phase coherence in quantum dots
- Statistical properties of energy levels of chaotic systems: Wigner or non-Wigner
- Universal statistics of the local Green's function in quantum chaotic systems with absorption
- Signatures of the correlation hole in total and partial cross sections
- Photodissociation in Quantum Chaotic Systems: Random Matrix Theory of Cross-Section Fluctuations
- The Spectral Autocorrelation Function in Weakly Open Chaotic Systems: Indirect Photodissociation of Molecules
- A diagrammatic approach for open chaotic systems
- Distribution of the Absorption by Chaotic States in Quantum Dots
- Statistical Properties of Fano Resonances in Atomic and Molecular Photoabsorption
- Semiclassical cross section correlations
- Statistics of photodissociation spectra: nonuniversal properties
Cited by in corpus (8)
- Effective operator formalism for open quantum systems
- Dynamical Manifestations of Quantum Chaos: Correlation Hole and Bulge
- Interference effects in interacting quantum dots
- Semiclassical Theory for Decay and Fragmentation Processes in Chaotic Quantum Systems
- Photonuclear Reactions induced by Intense Short Laser Pulses
- Generalized Survival Probability
- Nonequilibrium many-body quantum dynamics: from full random matrices to real systems
- Long-time signatures of short-time dynamics in decaying quantum-chaotic systems