4/7/2024 0 Comments M t f body swapWe describe the emergence of these phases using insights from bifurcation theory 22, 23 and non-Hermitian quantum mechanics 24, 25. The resulting phase transitions are controlled by spectral singularities called exceptional points 21. We illustrate this mechanism with simple robotic demonstrations. Here we show that non-reciprocity leads to time-dependent phases in which spontaneously broken continuous symmetries are dynamically restored. Although wave propagation in non-reciprocal media has recently been closely studied 1, 16, 17, 18, 19, 20, less is known about the consequences of non-reciprocity on the collective behaviour of many-body systems. Non-reciprocity occurs, for instance, in active matter 1, 2, 3, 4, 5, 6, non-equilibrium systems 7, 8, 9, networks of neurons 10, 11, social groups with conformist and contrarian members 12, directional interface growth phenomena 13, 14, 15 and metamaterials 16, 17, 18, 19, 20. Out of equilibrium, a lack of reciprocity is the rule rather than the exception.
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