Topological origins of bound states in the continuum for systems with conical intersections

Sarah Henshaw; Artur F. Izmaylov

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arXiv · 1710.08981

Topological origins of bound states in the continuum for systems with conical intersections

Sarah Henshaw·Artur F. Izmaylov

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Abstract

Bound states in the continuum (BSCs) were reported in a linear vibronic coupling model with a conical intersection (CI) [Cederbaum et al. Phys. Rev. Lett. 90, 013001 (2003)]. It was also found that these states are destroyed within the Born-Oppenheimer approximation (BOA). We investigate whether a nontrivial topological or geometric phase (GP) associated with the CI is responsible for BSCs. To address this question we explore modifications of the original two-dimensional two-state linear vibronic coupling model supporting BSCs. These modifications either add GP effects after the BOA or remove the GP within a two-state problem. Using the stabilization graph technique we shown that the GP is crucial for emergence of BSCs.

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Sarah Henshaw, Artur F. Izmaylov. 2017-10-24. Topological origins of bound states in the continuum for systems with conical intersections. https://arxiv.org/abs/1710.08981

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