A quantum resonance catastrophe for transport through an AC driven impurity

Abstract

We consider the quantum transport in a tight-binding chain with a locally applied potential which is oscillating in time. The steady state for such a driven impurity can be calculated exactly for any energy and applied potential using the Floquet formalism. The resulting transmission has a non-trivial, non-monotonic behavior depending on incoming momentum, driving frequency, and the strength of the applied periodic potential. Hence there is an abundance of tuning possibilities, which allows to find resonances of total reflection for any choice of incoming momentum and periodic potential. Remarkably, this implies that even for an arbitrarily small infinitesimal impurity potential it is always possible to find a resonance frequency at which there is a catastrophic breakdown of the transmission T=0. The points of zero transmission are closely related to the phenomenon of Fano resonances at dynamically created bound states in the continuum. The results are relevant for a variety of one-dimensional systems where local AC driving is possible, such as quantum nanodot arrays, ultracold gases in optical lattices, photonic crystals, or molecular electronics.

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Cited by in corpus (15)

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• Non-Hermitian Floquet invisibility
• Floquet-engineered pair and single particle filter in the Fermi Hubbard model
• Emergent strong zero mode through local Floquet engineering
• Momentum resolved Floquet-engineered pair and single particle filter in the Fermi Hubbard model
• Berry-phase in a periodically driven single molecule magnet transistor
• Understanding Floquet Resonances in Ultracold Gas Scattering
• Periodically Driven Many-Body Systems: A Floquet Density Matrix Renormalization Group Study
• Real space thermalization of locally driven quantum magnets
• Suppression of scattering from slow to fast subsystems and application to resonantly Floquet-driven impurities in strongly interacting systems
• Transport through an AC driven impurity: Fano interference and bound states in the continuum
• Time-dependent transport through a T-coupled quantum dot