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arXiv:2203.12936 · Frontiers in Physics

Nonreciprocal Waveguide-QED for Spinning Cavities with Multiple Coupling Points

Wenxiao Liu, Ya-Fen Lin, Jiaqi Li, Xin Wang

Published Apr 25, 2022• 5 citations
arXivHTMLPDF

Abstract

We investigate chiral emission and the single-photon scattering of spinning cavities coupled to a meandering waveguide at multiple coupling points. It is shown that nonreciprocal photon transmissions occur in the cavities-waveguide system, which stems from interference effects among different coupling points, and frequency shifts induced by the Sagnac effect. The nonlocal interference is akin to the mechanism in giant atoms. In the single-cavity setup, by optimizing the spinning velocity and number of coupling points, the chiral factor can approach 1, and the chiral direction can be freely switched. Moreover, destructive interference gives rise to the complete photon transmission in one direction over the whole optical frequency band, with no analogy in other quantum setups. In the multiple-cavity system, we also investigate the photon transport properties. The results indicate a directional information flow between different nodes. Our proposal provides a novel way to achieve quantum nonreciprocal devices, which can be applied in large-scale quantum chiral networks with optical waveguides.

DOI
10.3389/fphy.2022.894115

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We study a spinning optomechanical cavity that is coupled to a meandering waveguide at multiple spatially separated points, forming a giant-cavity configuration. The resulting self-interference makes the effective optical driving, linewidth, and frequency shift strongly dependent on the propagation phase in the waveguide, while the rotation-induced Sagnac-Fizeau shift causes the clockwise (CW) and counterclockwise (CCW) cavity modes to experience distinct interference phases. Under single-tone driving, this mechanism enables phase-controlled phonon cooling and, in the presence of cavity rotation, nonreciprocal cooling, with one propagation direction approaching the mechanical ground-state regime while the opposite direction remains less efficiently cooled. Under two-tone driving, the same interference mechanism engineers a squeezed reservoir for the mechanical mode, producing steady-state squeezing that likewise becomes nonreciprocal under cavity rotation. These results establish multi-point self-interference as a versatile mechanism for phase-controlled optomechanical reservoir engineering and show that, when combined with cavity rotation, it provides a route to nonreciprocal quantum effects.
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We study the nonreciprocal properties of transmitted photons in a chiral waveguide quantum electrodynamics (QED) system, including single- and two-photon transmissions and second-order correlations. For the single-photon transmission, the nonreciprocity is induced by the effects of chiral coupling and atomic dissipation in the weak coupling region. It vanishes in the strong coupling regime when the effect of atomic dissipation becomes ignorable. In the case of two-photon transmission, there exist two ways of going through the emitter: independently as plane waves and formation of bound state. Besides the nonreciprocal behavior of plane waves, the bound state that differs in two directions also alters transmission probabilities. In addition, the second-order correlation of transmitted photons depends on the interference between plane wave and bound state. The destructive interference leads to the strong antibunching in the weak coupling region, while the effective formation of bound state leads to the strong bunching in the intermediate coupling region. However, the negligible interactions for left-propagating photons hardly change the statistics of the input coherent state.
In this paper, we employ two two-level atoms and a $\mathrm{\ensuremath{\Lambda}}$-type atom to connect two one-dimensional semi-infinite coupled resonator waveguides, respectively. The first configuration is a chiral setup, where incident photons undergo an elastic scattering process. We investigate the influence on the single-photon transfer rate of spatial coupling points between the small or giant atom and the waveguides. Our numerical simulations demonstrate that additional coupling points in the giant atom system will modify the transmission rule observed in the small atom system due to their unique interference effects. The second configuration is a nonreciprocal setup, where the conduction direction depends entirely on the initial state of the $\mathrm{\ensuremath{\Lambda}}$-type atom. The incident photon undergoes an inelastic scattering process accompanied by frequency conversion.