Nonreciprocal Spin-Glass Transition and Aging

Abstract

Disordered systems generically exhibit aging and a glass transition. Previous studies have long suggested that non-reciprocity tends to destroy glassiness. Here, we show that this is not always the case using a bipartite spherical Sherrington-Kirpatrick model that describes the antagonistic coupling between two identical complex agents modeled as macroscopic spin glasses. Our dynamical mean field theory calculations reveal an exceptional-point mediated transition from a static disorder phase to an oscillating amorphous phase as well as non-reciprocal aging with slow dynamics and oscillations.

18 pages, 13 figures

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• Flocking with random non-reciprocal interactions
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• Zero-temperature dynamics of the spherical model with non-reciprocal interactions