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DY: Fachverband Dynamik und Statistische Physik

DY 12: Statistical Physics far from Thermal Equilibrium II

DY 12.2: Talk

Monday, March 18, 2024, 15:15–15:30, BH-N 334

Time-reversal and PT symmetry breaking in non-Hermitian field theories — •Thomas Suchanek1, Sarah Loos2, and Klaus Kroy11Institut für Theoretische Physik, Universität Leipzig, Leipzig, Germany — 2DAMTP, University of Cambridge, Cambridge, United Kingdom

We study time-reversal symmetry breaking in non-Hermitian fluctuating field theories with conserved dynamics, comprising the mesoscopic descriptions of a wide range of nonequilibrium phenomena [1]. They exhibit continuous parity-time (PT)-symmetry breaking phase transitions to dynamical phases. We introduce the (informatic) entropy rate as a method to quantify non-equilibrium dynamics emerging on the mesoscale. For two concrete transition scenarios, exclusive to non-Hermitian dynamics, namely oscillatory instabilities and critical exceptional points, a low-noise expansion exposes a pre-transitional surge of the entropy production, inside the static phases. For critical exceptional points, we identify the coupling of eigenmodes as the entropy-generating mechanism, causing a drastic noise amplification in the Goldstone mode. We illustrate our findings with a model of nonreciprocally coupled Cahn-Hilliard fields and an assembly of Brownian particles, interacting asymmetrically through chemotactic interactions.

[1] Suchanek, T., Kroy, K., & Loos, S. A. (2023). Irreversible mesoscale fluctuations herald the emergence of dynamical phases. arXiv preprint arXiv:2303.16701.

Keywords: Entropy production; Dynamical phase transitions; Pattern formation; Non-Hermitian dynamics

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