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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 modelled 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.
Physical Review Letters
By: Giulia Garcia Lorenzana, Ada Altieri, Giulio Biroli, Michel Fruchart and Vincenzo Vitelli.
Phys. Rev. Lett. 135, 187402 (2025)
DOI: https://pubs.acs.org/doi/abs/10.102...