Zitterbewegung Effect and Quantum Geometry in Non-Hermitian Exciton-Polariton Systems

• URL: http://arxiv.org/abs/2510.27220v1
• Date: Fri, 31 Oct 2025 06:30:18 GMT
• Title: Zitterbewegung Effect and Quantum Geometry in Non-Hermitian Exciton-Polariton Systems
• Authors: Yow-Ming Robin Hu, Elena A. Ostrovskaya, Eliezer Estrecho,
• Abstract summary: We analytically derive a semi-classical equation of motion describing the zitterbewegung effects arising in the dynamics of wavepackets in non-Hermitian systems.<n>We show the effects from the non-Hermitian spin dynamics by generalising the description of zitterbewegung effects to non-Hermitian systems.
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• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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