Nonlinear optomechanical paddle nanocavities

Kaviani, Hamidreza; Healey, Chris; Wu, Marcelo; Ghobadi, Roohollah; Hryciw, Aaron C.; Barclay, Paul E.

doi:10.1364/optica.2.000271

Cited by 39 publications

(45 citation statements)

References 35 publications

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“…(38) and (39) along with the properties of the ladder operators given in Eqs. (16), (17) and (18) As expected, only the correlators with one creation and one annihilation operator are nonzero. We have also introduced n which is the average thermal population of quanta and is given by…”

Section: (E1)supporting

confidence: 67%

Nonlinear power spectral densities for the harmonic oscillator

2015

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In this paper, we discuss a general procedure by which nonlinear power spectral densities (PSDs) of the harmonic oscillator can be calculated in both the quantum and classical regimes. We begin with an introduction of the damped and undamped classical harmonic oscillator, followed by an overview of the quantum mechanical description of this system. A brief review of both the classical and quantum autocorrelation functions (ACFs) and PSDs follow. We then introduce a general method by which the kth-order PSD for the harmonic oscillator can be calculated, where k is any positive integer. This formulation is verified by first reproducing the known results for the k = 1 case of the linear PSD. It is then extended to calculate the second-order PSD, useful in the field of quantum measurement, corresponding to the k = 2 case of the generalized method. In this process, damping is included into each of the quantum linear and quadratic PSDs, producing realistic models for the PSDs found in experiment. These quantum PSDs are shown to obey the correspondence principle by matching with what was calculated for their classical counterparts in the high temperature, high-Q limit. Finally, we demonstrate that our results can be reproduced using the fluctuation-dissipation theorem, providing an independent check of our resultant PSDs.

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Section: (E1)supporting

confidence: 67%

Nonlinear power spectral densities for the harmonic oscillator

2015

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“…In the resolved-sideband regime, displacement-squared optomechanical coupling hence provides a means to perform quantum non-demolition measurements of the phonon number4243444546. But also in the bad-cavity limit, measurements of x 2 have been proposed as a possible route to preparing non-classical (superposition) states of motion of the mechanical resonator23244748.…”

Section: Resultsmentioning

confidence: 99%

Nonlinear cavity optomechanics with nanomechanical thermal fluctuations

et al. 2017

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Although the interaction between light and motion in cavity optomechanical systems is inherently nonlinear, experimental demonstrations to date have allowed a linearized description in all except highly driven cases. Here, we demonstrate a nanoscale optomechanical system in which the interaction between light and motion is so large (single-photon cooperativity C0≈103) that thermal motion induces optical frequency fluctuations larger than the intrinsic optical linewidth. The system thereby operates in a fully nonlinear regime, which pronouncedly impacts the optical response, displacement measurement and radiation pressure backaction. Specifically, we measure an apparent optical linewidth that is dominated by thermo-mechanically induced frequency fluctuations over a wide temperature range, and show that in this regime thermal displacement measurements cannot be described by conventional analytical models. We perform a proof-of-concept demonstration of exploiting the nonlinearity to conduct sensitive quadratic readout of nanomechanical displacement. Finally, we explore how backaction in this regime affects the mechanical fluctuation spectra.

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“…In addition, as shown in Figure 6a, the S of the cantilever-type mechanical resonance sensor was 1.2 × 10 −20 nm/ √ Hz and 1.3 × 10 −21 nm/ √ Hz under environmental conditions and low vacuum, respectively [94]. In 2015, Kaviani et al introduced an optomechanical sensor with strong non-linear optomechanical coupling, low mass, and wide light mode spacing [95]. As illustrated in Figure 6b, it was a photonic crystal "paddle nanocavity" that combined working principles of membrane-in-the middle (MIM) cavities [96,97] and PCNC optomechanical devices [98].…”

Section: Other Applicationsmentioning

confidence: 99%

Photonic Crystal Nanobeam Cavities for Nanoscale Optical Sensing: A Review

et al. 2020

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The ability to detect nanoscale objects is particular crucial for a wide range of applications, such as environmental protection, early-stage disease diagnosis and drug discovery. Photonic crystal nanobeam cavity (PCNC) sensors have attracted great attention due to high-quality factors and small-mode volumes (Q/V) and good on-chip integrability with optical waveguides/circuits. In this review, we focus on nanoscale optical sensing based on PCNC sensors, including ultrahigh figure of merit (FOM) sensing, single nanoparticle trapping, label-free molecule detection and an integrated sensor array for multiplexed sensing. We believe that the PCNC sensors featuring ultracompact footprint, high monolithic integration capability, fast response and ultrahigh sensitivity sensing ability, etc., will provide a promising platform for further developing lab-on-a-chip devices for biosensing and other functionalities.Micromachines 2020, 11, 72 2 of 20 microcavities confine the light in a small volume, leading to significant enhancement of light-matter interaction, resulting in ultra-high sensitivity (S) and a low detection limit. When subject to slight environmental changes, the spectral properties change can be obtained, e.g., resonator wavelength shift [20][21][22] and mode broadening [23].The main types of optical microcavities include whispering gallery mode (WGM) cavities, Fabry-Perot (F-P) cavities and photonic crystal (PhC) cavities [24]. Among these, PhC cavities have been investigated as advantageous platforms due to their ultra-high Q/V enabling the enhancement of lightmatter interactions. Particularly, compared with two-dimensional (2D) PhC cavities, one-dimensional photonic crystal nanobeam cavities (1D-PCNCs) attract great attention for their ultra-sensitive optical sensing and lab-on-a-chip applications, owing to their ultra-compact size, ultra-small mode volume, high integrability with bus-waveguide and excellent complementary metal-oxide-semiconductor (CMOS) compatible properties [25][26][27][28][29][30][31][32][33].In this review, we will focus on nanoscale optical sensing based on 1D-PCNCs. The structure of the review is organized as follows. A comprehensive overview about basic properties and sensing mechanisms of 1D-PCNCs sensors is discussed in Section 2. In Section 3, firstly, we introduce the efforts to pursue ultra-high figure of merit (FOM) in refractive index (RI) sensing based on 1D-PCNCs. Secondly, we outline the applications of 1D-PCNC sensors on single nanoparticle and label-free molecule (viruses, proteins and DNAs) detection. Thirdly, a monolithic integrated 1D-PCNC sensor array for multiplexed sensing is introduced explicitly. In addition, we present other sensing applications of 1D-PCNC sensors such as temperature sensing and optomechanical sensing, etc. Next, we review the nanofabrication and coupling techniques in the development of 1D-PCNC sensors in Section 4. Finally, we draw a brief conclusion. Figure 2. (a) Schematic of photonic circuits. The green lines, red boxes and black boxes represe...

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Nonlinear optomechanical paddle nanocavities

Cited by 39 publications

References 35 publications

Nonlinear power spectral densities for the harmonic oscillator

Nonlinear power spectral densities for the harmonic oscillator

Nonlinear cavity optomechanics with nanomechanical thermal fluctuations

Photonic Crystal Nanobeam Cavities for Nanoscale Optical Sensing: A Review

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