Optomechanically induced non-reciprocity in microring resonators

Hafezi, Mohammad; Rabl, Peter

doi:10.1364/oe.20.007672

Cited by 276 publications

(220 citation statements)

References 46 publications

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“…These results can lead to novel functionalities of electro-optic modulators in the field of communications and may also be relevant to frequency comb generation 30,31 and optomechanical systems. 19,32 The analytic result also allows for a quick yet exhaustive exploration of the parameter space and can be used to optimize the transmission towards a given target. In short, this conceptually simple system, which is a basic building block of on-chip photonic technologies, was found to show very rich physics that goes well beyond the applications that it has found thus far.…”

Section: Discussionmentioning

confidence: 99%

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Exact solution to the steady-state dynamics of a periodically modulated resonator

2017

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We provide an analytic solution to the coupled-mode equations describing the steady-state of a single periodically-modulated optical resonator driven by a monochromatic input. The phenomenology of this system was qualitatively understood only in the adiabatic limit, i.e. for low modulation speed. However, both in and out of this regime, we find highly non-trivial effects for specific parameters of the modulation. For example, we show complete suppression of the transmission even with zero detuning between the input and the static resonator frequency. We also demonstrate the possibility for complete, lossless frequency conversion of the input into the side-band frequencies, as well as for optimizing the transmitted signal towards a given target temporal waveform. The analytic results are validated by first-principle simulations.

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Section: Discussionmentioning

confidence: 99%

“…(24) is satisfied, and the timedependence of the transmission is very close to the prediction of the approximate result of Eq. (19). In panel (c), we plot the 0-th Fourier component T 0 of the transmission of the modulated cavity [see Eq.…”

Section: A Adiabatic Limitmentioning

confidence: 99%

Exact solution to the steady-state dynamics of a periodically modulated resonator

2017

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“…Isolators and circulators have been realized in microwave devices via parametric pumping of system parameters [24,37,38], and a graphic method was recently developed to facilitate the design of these devices [39]. In several works [40][41][42], opto-and electro-mechanical systems were studied for uni-directional transmission of photon states. More recently, it was shown that nonreciprocal state conversion between directly-coupled cavities can be achieved by controlling the relative phases of the couplings in an optomechanical system [43].…”

Section: Introductionmentioning

confidence: 99%

Nonreciprocal quantum-state conversion between microwave and optical photons

Tian

2017

Phys. Rev. A

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Optoelectromechanical quantum interfaces can be utilized to connect systems with distinctively different frequencies in hybrid quantum networks. Here we present a scheme of nonreciprocal quantum state conversion between microwave and optical photons via an optoelectromechanical interface. By introducing an auxiliary cavity and manipulating the phase differences between the linearized light-matter couplings, uni-directional state transmission that is immune to mechanical noise can be achieved. This interface can function as an isolator, a circulator, and a two-way switch that routes the input state to a designated output channel. We show that under a generalized impedance matching condition, the state conversion can prevent thermal fluctuations of the mechanical mode from propagating to the cavity outputs and reach high fidelity. The realization of this scheme is also discussed.

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“…Depending on the specific model and parameter regime, bosonic ground states in such frustrated lattices may include chiral composite-fermion states of hard-core bosons [7][8][9] and chiral superfluid/Mott insulator states 10 which spontaneously break time-reversal symmetry, fractional Chern insulators 4,6 , and other exotic broken symmetry states [1][2][3]5,11,12 . From the experimental standpoint, rapid advance of artificial condensed matter systems such as cold atoms and interacting photons in circuit QED system have enabled not only the realization of geometrically frustrated lattices but also lattices subject to synthetic gauge fields [13][14][15][16][17][18][19][20][21][22][23][24] . These recent developments make the search for accurate theoretical approaches and concrete proposals timely.…”

Section: Introductionmentioning

confidence: 99%

Nematic quantum liquid crystals of bosons in frustrated lattices

Zhu¹,

Koch²,

Martin³

2016

Phys. Rev. B

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The problem of interacting bosons in frustrated lattices is an intricate one due to the absence of a unique minimum in the single-particle dispersion where macroscopic number of bosons can condense. Here we consider a family of tight-binding models with macroscopically degenerate lowest energy band, separated from other bands by a gap. We predict the formation of exotic states that spontaneously break rotational symmetry at relatively low filling. These states belong to three nematic phases: Wigner crystal, supersolid, and superfluid. The Wigner crystal phase is established exactly at low filling. Supersolid and superfluid phases, at larger filling, are obtained by making use of a projection onto the flat band, construction of an appropriate Wannier basis, and subsequent mean-field treatment. The nematic superfluid that we predict is uniform in real space but has an anisotropic momentum distribution, providing a novel scenario for Bose condensation with an additional nematic order. Our findings open up a promising direction of studying microscopic quantum liquid crystalline phases of bosons.

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Optomechanically induced non-reciprocity in microring resonators

Cited by 276 publications

References 46 publications

Exact solution to the steady-state dynamics of a periodically modulated resonator

Exact solution to the steady-state dynamics of a periodically modulated resonator

Nonreciprocal quantum-state conversion between microwave and optical photons

Nematic quantum liquid crystals of bosons in frustrated lattices

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