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Quantum Projects for Undergraduates

The Technion Helen Diller Quantum Center

Exceptional rings and the violation of detailed balance

Advisor: David Gelbwaser

Contact: dgelbi@technion.ac.il

Project description:

Exceptional points are points in parameter space where the Hamiltonian or the dynamical matrix are degenerate and their eigenvectors coalesce. The presence of an exceptional point has been shown to provide physical systems with unique features, such as high sensitivity and a nontrivial topology for deformations that encircle exceptional points. Recently, we have found that systems that violate detailed balance exhibit exceptional rings, which can be thought of as an infinite number of exceptional points. These exceptional rings’ topology properties and other features are still waiting to be discovered and will be studied during this project.

Prerequisites: Basic course on Quantum mechanics, basic programming skills in any language (python, Mathematica, Matlab, etc)

References:

Zhao, Han, and Liang Feng. “Parity–time symmetric photonics.” National science review 5.2 (2018): 183-199.

Blum, Shay, and David Gelbwaser-Klimovsky. “Thermalization without detailed balance: population oscillations in the absence of coherences.” arXiv:2409.15991 (2024).



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