Transmission Through a Quantum Dynamical Delta Barrier
T. Brandes, J. Robinson (UMIST, Manchester, UK)
TL;DR
This paper investigates electron transmission through a one-dimensional delta barrier with both classical and quantum time-dependent couplings, revealing exact solutions and resonance phenomena, including perfect transmission energies below the first sideband.
Contribution
It provides an exact continued fraction solution for the quantum dynamical delta barrier and identifies conditions for perfect transmission, advancing understanding of quantum scattering with time-dependent potentials.
Findings
Exact continued fraction solution derived
Fano-like resonances observed in transmission
Perfect transmission energies found below the first sideband threshold
Abstract
We discuss electron scattering in a one-dimensional delta barrier potential with either time-dependent coupling constant (classical model) or a coupling constant that is linear in a boson coordinate (quantum model). We find an exact continued fraction solution and Fano like resonances in the transmission coefficient. In the quantum model, energies for perfect transmission exist below the first sideband threshold.
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