Zitterbewegung Effect and Quantum Geometry in Non-Hermitian Exciton-Polariton Systems
Abstract
In this work, we analytically derive a semi-classical equation of motion describing the zitterbewegung effects arising in the dynamics of wavepackets in non-Hermitian systems. In Hermitian non-relativistic quantum systems, the zitterbewegung effects can arise due to the spin precession and spin-orbit coupling. Interestingly, the spin dynamics in non-Hermitian systems are qualitatively different because of the effective nonlinear terms induced by the non-Hermitian part of the Hamiltonian. In this work, we show the effects from the non-Hermitian spin dynamics by generalising the description of zitterbewegung effects to non-Hermitian systems. We also uncover novel non-Hermitian correction to the group velocity, which can be expressed in terms of the non-Hermitian quantum metric tensor in the absence of out-of-plane effective field.
Keywords
Cite
@article{arxiv.2510.27220,
title = {Zitterbewegung Effect and Quantum Geometry in Non-Hermitian Exciton-Polariton Systems},
author = {Yow-Ming Robin Hu and Elena A. Ostrovskaya and Eliezer Estrecho},
journal= {arXiv preprint arXiv:2510.27220},
year = {2025}
}