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We investigate the steady-state and dynamical properties of a reciprocalmany-body system consisting of self-propelled active particles with localalignment interactions that exists within a fan-shaped neighborhood of eachparticle. We find that the nonreciprocity can emerge in this reciprocal systemonce the spontaneous symmetry breaking is present, and the effectivedescription of the system assumes a non-Hermitian structure that directlyoriginates from the emergent nonreciprocity. This emergent nonreciprocity canimpose strong influences on the properties the system. In particular, it caneven drive a real-space condensation of active particles. Our findings pave theway for identifying a new class of physics in reciprocal systems that is drivenby the emergent nonreciprocity.

Real-space condensation of reciprocal active particles driven by spontaneous symmetry breaking induced nonreciprocity