Interference of resonances and the double-pole of the S-matrix in a double well system

Abstract

We discuss the interaction between two resonant states in a quantum double-well structure. The behaviour of the resonant states depends on the coupling between the wells, i.e. the height and width of the barrier that separates them. We distinguish a region with resonant tunneling and a region where the two resonances repel each other. The transition between the two regions is marked by a double pole of the S-matrix.

arXiv comment3 pages, 4 Postscript figures

Cited by in corpus (7)

• Projective Hilbert space structures at exceptional points
• Non-Hermitian degeneracy of two unbound states
• Influence of branch points in the complex plane on the transmission through double quantum dots
• Jordan blocks and Gamow-Jordan eigenfunctions associated to a double pole of the S-matrix
• Unified theory of resonances and bound states in the continuum in Hermitian tight-binding models
• Effective Hamiltonian and unitarity of the S matrix
• Quantum field theoretical framework for the electromagnetic response of graphene and dispersion relations with implications to the Casimir effect