Absorption in atomic wires

TL;DR

This paper develops a formalism using transfer matrices and complex potentials to model absorption and dissipation in atomic wires, providing analytical tools for studying scattering, absorption, and coherence loss in disordered systems.

Contribution

It introduces explicit potential profiles and analytical expressions for absorption in atomic chains, enabling advanced modeling of dissipative and disordered quantum systems.

Findings

Derived analytical expressions for scattering and absorption probabilities.

Demonstrated the use of complex potentials to model phase-breaking inelastic processes.

Provided a framework for studying coherence loss in disordered wires.

Abstract

The transfer matrix formalism is implemented in the form of the multiple collision technique to account for dissipative transmission processes by using complex potentials in several models of atomic chains. The absorption term is rigorously treated to recover unitarity for the non-hermitian hamiltonians. In contrast to other models of parametrized scatterers we assemble explicit potentials profiles in the form of delta arrays, Poschl-Teller holes and complex Scarf potentials. The techniques developed provide analytical expressions for the scattering and absorption probabilities of arbitrarily long wires. The approach presented is suitable for modelling molecular aggregate potentials and also supports new models of continuous disordered systems. The results obtained also suggest the possibility of using these complex potentials within disordered wires to study the loss of coherence in the electronic localization regime due to phase-breaking inelastic processes.