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Open Quantum Systems Decoherence Quantum Simulation

Eigenvalue attraction in open quantum systems, biophysical systems, and Parity-Time symmetric materials

arXiv
Authors: Pete Rigas

Year

2023

Paper ID

54865

Status

Preprint

Abstract Read

~2 min

Abstract Words

66

Citations

N/A

Abstract

We investigate eigenvalue attraction for open quantum systems, biophysical systems, and for Parity-Time symmetric materials. To determine whether an eigenvalue and its complex conjugate of a real matrix attract, we derive expressions for the second derivative of eigenvalues, which is dependent upon contributions from inertial forces, attraction between an eigenvalue and its complex conjugate, as well as the force of the remaining eigenvalues in the spectrum.

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 investigate eigenvalue attraction for open quantum systems, biophysical systems, and for Parity-Time symmetric materials.

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