Abstract

We study the nonreciprocal transmission and the fast-slow light effects in a cavity optomechanical system, in which the cavity supports a clockwise and a counter-clockwise circulating optical mode; both the modes are driven simultaneously by a strong pump field and a weak signal field. We find that the system reveals a nonreciprocal transmission of the signal fields when the intrinsic photon loss of the cavity is equal to the external coupling loss of the cavity. However, when the intrinsic photon loss is much less than the external coupling loss, the nonreciprocity about the transmission properties almost disappears, the nonreciprocity is shown in the group delay properties of the signal fields, and the system exhibits a nonreciprocal fast-slow light propagation phenomenon.

Highlights

  • In recent years, optical nonreciprocity has got a lot of attentions for its important applications in photonic network, signal processing, and one-way optical communication protocols

  • Scientists have demonstrated that many physical effects and physical systems, such as Faraday rotation effect in the magneto-optical crystals [1,2,3], optical nonlinearity [4], spatial-symmetry-breaking structures [5, 6], optoacoustic effects [7, 8], the paritytime-symmetric structures [9,10,11,12], can be used to realize the optical nonreciprocal transmission

  • We show that when the intrinsic photon loss of the cavity equals the external coupling loss of the cavity, we can achieve the nonreciprocal transmission of the signal fields with the red-sideband pumping or the blue-sideband pumping

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Summary

Introduction

Optical nonreciprocity has got a lot of attentions for its important applications in photonic network, signal processing, and one-way optical communication protocols. The researches about the optical nonreciprocity mainly focused on two aspects: one is the transmission properties of the signal fields, another is the photonic statistical properties of the signal fields. The relevant theoretical works include the nonreciprocal photon blockade [23], the authors discussed how to create and manipulate nonclassical light via photon blockade in rotating nonlinear devices. They found that the light with subPoissonian or super-Poissonian photon-number statistics can emerge when driving the resonator from its left or right side. Xu et al proposed a scheme to manipulate the statistic properties of the photons transport nonreciprocally via quadratic optomechanical coupling [24]. External coupling loss, the nonreciprocity of the system about the optical transmission properties almost disappears, the system exhibits a nonreciprocal fast-slow light propagation phenomenon, i.e., the group velocity of the right-moving signal field will be speed up (fast light), while the group velocity of the left-moving signal field will be slowed down (slow light), or vice versa

Model and Hamiltonian
Nonreciprocal transmission
Nonreciprocal fast-slow light effects
Conclusion

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