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Li?ka V, Zem\'e1nkov\'e1 T, J\'e1kl P, ?iler M, Simpson SH, Zem\'e1nek P, Brzobohat\'fd O. PT-like phase transition and limit cycle oscillations in non-reciprocally coupled optomechanical oscillators levitated in vacuum. Nat. Phys., 1?7 (2024).\par \par }