Dissipative phase transition of interacting non-reciprocal fermions
arXiv:2505.15711 · doi:10.1103/n8xv-kygx
Abstract
While non-reciprocal couplings are ubiquitous in classical systems, their impact on quantum many-body criticality and entanglement remains largely unexplored. Using exact numerical simulations, we study an interacting fermionic chain subject to non-reciprocal gain and loss. We show that the interplay between dissipation and interactions drives a dissipative phase transition, marked by the opening of a many-body gap and a crossover from power-law to exponential relaxation. The weakly-interacting regime displays non-reciprocal signatures, including nonzero currents and directional charge accumulation reminiscent of the skin effect. Notably, despite this localization, quantum trajectories exhibit volume-law entanglement. Finally, reciprocity is dynamically restored above a critical interaction strength.
6 pages + 2 pages of End Matter + 15 pages of Supplementary Material; 5 + 2 + 8 Figures. Comments are welcome
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