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Open Quantum Systems Decoherence Quantum Simulation

Particular spectral singularity in the continuum energies: a manifestation as resonances

arXiv
Authors: E. Hernández, A. Jáuregui, D. Lohr, A. Mondragón

Year

2015

Paper ID

25894

Status

Preprint

Abstract Read

~2 min

Abstract Words

114

Citations

N/A

Abstract

We study the coalescence of two bound energy eigenstates embedded in the continuous spectrum of a real Hamiltonian H[4] and the singular point produced by this coalescence. At the singular point, the two unnormalized Jost eigenfunctions are no longer linearly independent but coalesce to give rise to a bound state eigenfunction embedded in the continuum. We disturb the potential V[4] by means of a truncation, this perturbation breaks the singular point in two resonances. The phase shift shows a jump of magnitude 2π and the shape of the cross section shows two inverted peaks, this behaviour is due to the interference between the two nearly degenerate resonances and the background component of the Jost function.

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  • We study the coalescence of two bound energy eigenstates embedded in the continuous spectrum of a real Hamiltonian H[4] and the singular point produced by this coalescence.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1511.09086 [2] arXiv https://arxiv.org/abs/1511.09086 [3] Publisher https://arxiv.org/abs/1511.09086

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