Abstract
We examine the bistable transmission non-reciprocity in a four-mode optomechanical system, where a mechanical oscillator interacts with one of three coupled optical cavities so as to generate an asymmetric optomechanical non-linearity. Two transmission coefficients in opposite directions are found to exhibit non-reciprocal bistable behaviors due to this asymmetric optomechanical non-linearity as the impedance-matching condition is broken for a not too weak input field. Such a bistable transmission non-reciprocity can be well manipulated to exhibit reversible higher isolation ratios in tunable wider ranges of the input field power or one cavity mode detuning by modulating relevant parameters like optical coupling strengths, optomechanical coupling strengths, and mechanical frequencies. This optomechanical system provides a flexible platform for realizing transmission non-reciprocity of weal light signals and may be extended to optical networks with more coupled cavities.
Highlights
Cavity optomechanics, focusing on enhanced radiation pressure interactions between light fields and mechanical motions, has attracted extensive experimental and theoretical interests owing to its wide applications in processing quantum information, measuring weak signals, and developing new devices [1,2,3,4,5,6,7,8,9]
Increasing or decreasing J23 to deviate from the critical value Jc23, we can see from Figures 2B–D that transmission non-reciprocity occurs with different isolation ratios for different input powers
In particular, that Itr ≈ − 4.5 dB for pin 50 mW in the case of J23/2π 2.0 GHz, Itr ≈ 8.0 dB for pin 36 mW in the case of J23/2π 1.4 GHz, and Itr ≈ 10.2 dB for pin 25 mW in the case of J23/2π 1.0 GHz. These results indicate that it is viable to reverse the transmission nonreciprocity from Itr < 0 to Itr > 0 (Itr > 0 to Itr < 0) as J23 is decreased to cross the critical value Jc23, and we can attain higher isolation ratios in wider bistable regions by modulating J23 to be more deviating from the critical value Jc23
Summary
Cavity optomechanics, focusing on enhanced radiation pressure interactions between light fields and mechanical motions, has attracted extensive experimental and theoretical interests owing to its wide applications in processing quantum information, measuring weak signals, and developing new devices [1,2,3,4,5,6,7,8,9]. Result in crosstalk and other problems hampering on-chip implementations This is why non-magnetic approaches for achieving optical non-reciprocity have been extensively studied with significant advances, for example, in chiral atomic systems [49,50,51] and optomechanical systems [30,31,32,33,34]. Coupled micro-cavities are essential elements for constructing quantum information networks in that they are scalable via mode swapping or fiber coupling, compatible with mechanical oscillators and other elements, and easy to be controlled by driving fields With this consideration, here we extend previous works [30,31,32,33,34] to seek more flexible manipulations on optical non-reciprocity by investigating a four-mode optomechanical system with three optical cavities and one mechanical oscillator. This allows us to tune and widen non-reciprocal ranges in terms of the input power or a cavity detuning on the one hand, while improve isolation ratio and reverse isolation direction with respect to transmission coefficients on the other hand
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