S-matrix pole trajectories in quantum wires with resonantly coupled cavities

G. Cattapan; P. Lotti; A. Pascolini

doi:10.1140/epjb/e2006-00394-3

EPJ

S-matrix pole trajectories in quantum wires with resonantly coupled cavities

G. Cattapan¹^,2^a, P. Lotti²^,1 and A. Pascolini¹^,2

¹ Dipartimento di Fisica “G. Galilei”, Università di Padova, via F. Marzolo 8, 35131 Padova, Italy
² Istituto Nazionale di Fisica Nucleare, Sezione di Padova, via F. Marzolo 8, 35131 Padova, Italy

Corresponding author: ^a This email address is being protected from spambots. You need JavaScript enabled to view it.

Received: 1 June 2006
Revised: 20 September 2006
Published online: 27 October 2006

Abstract

We consider a T-shaped, one-dimensional quantum waveguide containing an attractive or repulsive impurity in the lateral stub, and study how the resonance poles move in the complex k-plane when the strength or the position of the defect changes. Similarities and differences with respect to standard potential scattering problems are highlighted.

PACS: 73.63.Nm – Quantum wires / 73.23.Ad – Ballistic transport / 72.10.Fk – Scattering by point defects, dislocations, surfaces, and other imperfections (including Kondo effect)

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EPJ

S-matrix pole trajectories in quantum wires with resonantly coupled cavities

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