Fano-Liouville Spectral Signatures in Open Quantum Systems

Abstract

The scattering amplitude from a set of discrete states coupled to a continuum became known as the Fano profile, characteristic for its asymmetric lineshape and originally investigated in the context of photoionization. The generality of the model, and the proliferation of engineered nanostructures with confined states gives immense success to the Fano lineshape, which is invoked whenever an asymmetric lineshape is encountered. However, many of these systems do not conform to the initial model worked out by Fano in that i) they are subject to dissipative processes and ii) the observables are not entirely analogous to the ones measured in the original photoionization experiments. In this letter, we work out the full optical response of a Fano model with dissipation. We find that the exact result for absorption, Raman, Rayleigh and fluorescence emission is a modified Fano profile where the typical lineshape has an additional Lorentzian contribution. Expressions to extract model parameters from a set of relevant observables are given.

corrected typos

References in corpus (2)

• Surface-enhanced Raman scattering and fluorescence near metal nanoparticles
• Unified treatment of fluorescence and Raman scattering processes near metal surfaces

Cited by in corpus (8)

• Adiabatic Elimination and Sub-space Evolution of Open Quantum Systems
• On the ubiquity of Beutler-Fano profiles: from scattering to dissipative processes
• Non-linear Fano Interferences in Open Quantum Systems: an Exactly Solvable Model
• Coherent two-dimensional spectroscopy of a Fano model
• Basic mechanisms in the laser control of non-Markovian dynamics
• Two-dimensional Fano lineshapes: Excited-state absorption contributions
• Detecting weak coupling in mesoscopic systems with a nonequilibrium Fano resonance
• Exciton-photocarrier interference in mixed lead-halide-perovskite nanocrystals