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Open Quantum Systems Decoherence Quantum Simulation

Virtual states in the coupled-channel problems with an improved complex scaling method

arXiv
Authors: Yan-Ke Chen, Lu Meng, Zi-Yang Lin, Shi-Lin Zhu

Year

2023

Paper ID

55538

Status

Preprint

Abstract Read

~2 min

Abstract Words

101

Citations

N/A

Abstract

We improve the complex scaling method (CSM) to obtain virtual states, which were previously challenging in the conventional CSM. Our approach solves the Schrödinger equation in the momentum space as an eigenvalue problem by choosing the flexible contours. It proves to be highly effective in identifying the poles across the different Riemann sheets in the multichannel scatterings. It is more straightforward and efficient than searching for the zeros of the Fredholm determinant of the Lippmann-Schwinger equation using the root-finding algorithms. This advancement significantly extends the capabilities of the CSM in accurately characterizing the resonances and virtual states in quantum systems.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2023 reference point for readers tracking recent quantum research.
  • We improve the complex scaling method (CSM) to obtain virtual states, which were previously challenging in the conventional CSM.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2308.12424 [2] arXiv https://arxiv.org/abs/2308.12424 [3] Publisher https://arxiv.org/abs/2308.12424

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