Fano Resonances in Quantum Transport with Vibrations

Abstract

Quantum mechanical scattering involving continuum states coupled to a scatterer with a discrete spectrum gives rise to Fano resonances. Here we consider scatterers that possess internal vibrational degrees of freedom in addition to discrete states. Entanglement between the scattered excitation and vibrational modes complicates analytical and numerical calculations considerably. For the example of one-dimensional scattering we develop a multichannel quantum scattering approach which can determine reflection and transmission probabilities in the presence of vibrations. Application to a linear chain coupled to a control unit containing vibrating sites shows that vibrational degrees of freedom can have a profound effect on quantum transport. For suitable parameters, spectral regions which are opaque in the static case can be rendered transparent when vibrations are included. The formalism is general enough to be applicable to a variety of platforms for quantum transport including molecular aggregates, cold atom chains, quantum-dot arrays and molecular wires based on conjugated polymers.

References in corpus (13)

• Environment-Assisted Quantum Transport
• Coherent Excitation Transfer in a Spin Chain of Three Rydberg Atoms
• Photonics meets excitonics: natural and artificial molecular aggregates
• XMDS2: Fast, scalable simulation of coupled stochastic partial differential equations
• Design of Optomechanical Cavities and Waveguides on a Simultaneous Bandgap Phononic-Photonic Crystal Slab
• Survival Probabilities in Coherent Exciton Transfer with Trapping
• Engineering Fano resonances in discrete networks
• Vibrational effects in laser driven molecular wires
• Newton's cradle and entanglement transport in a flexible Rydberg chain
• Resonant-State Expansion of the Fano Peak in Open Quantum Systems
• Motion of Rydberg atoms induced by resonant dipole-dipole interactions
• Fano blockade by a Bose-Einstein condensate in an optical lattice
• Fano resonance in discrete lattice models: controlling lineshapes with impurities