Chiral dynamics with giant systems

Abstract: We explore the chiral dynamics in a parity-time-symmetric system consisting of a giant Kerr cavity nonlocally coupled to a one-dimensional waveguide. By tuning the phase difference between the two coupling points to match the propagation phase at the driving frequency, chiral cavity-waveguide interactions are achieved, enabling the deterministic generation of photons with nontrivial statistics only for a single incident direction. This nontrivial-statistical photons can be produced even in the strong dissipation regime due to the interference between reflected and transmitted photons propagating between the coupling points. Our investigation encompasses a broad range of distances between the coupling points, incorporating non-Markovian effects. Notably, at a phase difference of $\pi/2$, the system's dynamics become exactly Markovian, while the output field retains non-Markovian characteristics. Under these conditions, we analyze nonreciprocal dissipative phase transitions driven by a strong external field and elucidate the influence of the non-Markovian effect. Our results offer valuable insights for the advancement of nonreciprocal photon devices and deterministic photon generations, providing a deeper understanding of dissipative phase transitions.