There is, I think, something ethereal about i —the square root of minus one. I remember first hearing about it at school. It seemed an odd beast at that time—an intruder hovering on the edge of reality.

Usually familiarity dulls this sense of the bizarre, but in the case of i it was the reverse: over the years the sense of its surreal nature intensified. It seemed that it was impossible to write mathematics that described the real world in …

I and i

다중혈관 관상동맥 환자에서 y-문합을 이용하여 양쪽 내흉동맥만을 사용한 우회술의 조기 성적

On September 14, 2015 at 09:50:45 UTC the two detectors of the Laser Interferometer Gravitational-Wave Observatory simultaneously observed a transient gravitational-wave signal. The signal sweeps upwards in frequency from 35 to 250 Hz with a peak gravitational-wave strain of 1.0×10(-21). It matches the waveform predicted by general relativity for the inspiral and merger of a pair of black holes and the ringdown of the resulting single black hole. The signal was observed with a matched-filter signal-to-noise ratio of 24 and a false alarm rate estimated to be less than 1 event per 203,000 years, equivalent to a significance greater than 5.1σ. The source lies at a luminosity distance of 410(-180)(+160)  Mpc corresponding to a redshift z=0.09(-0.04)(+0.03). In the source frame, the initial black hole masses are 36(-4)(+5)M⊙ and 29(-4)(+4)M⊙, and the final black hole mass is 62(-4)(+4)M⊙, with 3.0(-0.5)(+0.5)M⊙c(2) radiated in gravitational waves. All uncertainties define 90% credible intervals. These observations demonstrate the existence of binary stellar-mass black hole systems. This is the first direct detection of gravitational waves and the first observation of a binary black hole merger.

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The Observation of Gravitational Waves from a Binary Black Hole Merger

Topological photonics is a rapidly emerging field of research in which geometrical and topological ideas are exploited to design and control the behavior of light. Drawing inspiration from the discovery of the quantum Hall effects and topological insulators in condensed matter, recent advances have shown how to engineer analogous effects also for photons, leading to remarkable phenomena such as the robust unidirectional propagation of light, which hold great promise for applications. Thanks to the flexibility and diversity of photonics systems, this field is also opening up new opportunities to realize exotic topological models and to probe and exploit topological effects in new ways. This article reviews experimental and theoretical developments in topological photonics across a wide range of experimental platforms, including photonic crystals, waveguides, metamaterials, cavities, optomechanics, silicon photonics, and circuit QED. A discussion of how changing the dimensionality and symmetries of photonics systems has allowed for the realization of different topological phases is offered, and progress in understanding the interplay of topology with non-Hermitian effects, such as dissipation, is reviewed. As an exciting perspective, topological photonics can be combined with optical nonlinearities, leading toward new collective phenomena and novel strongly correlated states of light, such as an analog of the fractional quantum Hall effect.

Topological Photonics

Bound states in the continuum (BICs) are waves that remain localized even though they coexist with a continuous spectrum of radiating waves that can carry energy away. Their very existence defies conventional wisdom. Although BICs were first proposed in quantum mechanics, they are a general wave phenomenon and have since been identified in electromagnetic waves, acoustic waves in air, water waves and elastic waves in solids. These states have been studied in a wide range of material systems, such as piezoelectric materials, dielectric photonic crystals, optical waveguides and fibres, quantum dots, graphene and topological insulators. In this Review, we describe recent developments in this field with an emphasis on the physical mechanisms that lead to BICs across seemingly very different materials and types of waves. We also discuss experimental realizations, existing applications and directions for future work. The fascinating wave phenomenon of ‘bound states in the continuum’ spans different material and wave systems, including electron, electromagnetic and mechanical waves. In this Review, we focus on the common physical mechanisms underlying these bound states, whilst also discussing recent experimental realizations, current applications and future opportunities for research.

Bound states in the continuum

The invention provides a mechanical oscillator micro-cavity coupling body and an optical circulator using the mechanical oscillator micro-cavity coupling body. The mechanical oscillator micro-cavity coupling body comprises an optical micro-cavity; two micro-nano optical waveguides between which the optical micro-cavity is arranged; and a packaging body which packages the coupling structure of theoptical micro-cavity and the two micro-nano optical waveguides. The center of the optical micro-cavity is supported by a supporting column based on a base so that the edge is enabled to be in the suspension state, and the optical micro-cavity of which the edge is suspended forms a mechanical oscillator micro-cavity. The packaging body is provided with the base, the supporting column and the mechanical oscillator micro-cavity coupling body from the bottom to the top in turn. The effect of optical ring transmission can be achieved by using the interaction between the mechanical oscillator and the optical field in the echo wall mode traveling wave cavity so that the integrated optical circulator without magneto-optic material can be realized without additional arrangement of other offset (magnetic field, electric field, etc.) and thus the cost can be reduced and the practicability can be enhanced.

Mechanical oscillator micro-cavity coupling body and optical circulator using mechanical oscillator micro-cavity coupling body

We report intracavity Bragg scattering induced by photorefractive (PR) effect in high-Q lithium niobate (LN) ring resonators at cryogenic temperatures. We show that, when a cavity mode is strongly excited, the PR effect imprints a long-lived periodic space-charge field. This residual field in turn creates a refractive index modulation pattern that dramatically enhances the back scattering of an incoming probe light, and results in selective and reconfigurable mode splittings. This PR-induced Bragg scattering effect, despite being undesired for many applications, could be utilized to enable optically programmable photonic components.

Photorefraction-induced Bragg scattering in cryogenic lithium niobate ring resonators

The hybrid photon-atom integrated circuits, which include photonic microcavities and trapped single neutral atom in their evanescent ﬁeld, are of great potential for quantum information processing. In this platform, the atoms provide the single-photon nonlinearity and long-lived memory, which are complementary to the excellent passive photonics devices in conventional quantum photonic circuits. In this work, we propose a stable platform for realizing the hybrid photon-atom circuits based on an unsuspended photonic chip. By introducing high-order modes in the microring, a feasible evanescent-ﬁeld trap potential well ∼ 0 . 3mK could be obtained by only 10mW-level power in the cavity, compared with 100mW-level power required in the scheme based on fundamental modes. Based on our scheme, stable single atom trapping with relatively low laser power is feasible for future studies on high-ﬁdelity quantum gates, single-photon sources, as well as many-body quantum physics based on a controllable atom array in a microcavity.

Proposal for stable atom trapping on a GaN-on-Sapphire chip

Quantum nondemolition (QND) measurement enhances the detection efficiency and measurement fidelity, and is highly desired for its applications in precision measurements and quantum information processing. We propose and demonstrate a QND measurement scheme for the spin states of laser-trapped atoms. On ${}^{171}\mathrm{Yb}$ atoms held in an optical dipole trap, a transition that is simultaneously cycling, spin-selective, and spin-preserving is created by introducing a circularly polarized beam of a control laser to optically dress the spin states in the excited level, while leaving the spin states in the ground level unperturbed. We measure the phase of spin precession of $5\ifmmode\times\else\texttimes\fi{}{10}^{4}$ atoms in a bias magnetic field of 20 mG. This QND approach reduces the optical absorption detection noise by $\ensuremath{\sim}19\phantom{\rule{0.2em}{0ex}}\mathrm{dB}$, to an inferred level of 2.3 dB below the atomic quantum projection noise. In addition to providing a general approach for efficient spin-state readout, this all-optical technique allows quick switching and real-time programming for quantum sensing and quantum information processing. 

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Quantum Nondemolition Measurement of the Spin Precession of Laser-Trapped 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"><mml:msup><mml:mi /><mml:mn>171</mml:mn></mml:msup><mml:mi>Yb</mml:mi></mml:math>
 Atoms

Quantum networks largely rely on beamsplitters to linearly mix identical photons from independent sources. The essential indistinguishability of these source photons is revealed by their bunching and the associated coincidence dip in the Hong-Ou-Mandel interferometer. However, indistinguishability is not limited only to the same type of bosons. For the first time, we hereby observe in an atom-light beamsplitter interface, quantum interference between flying photons and a single quantum of stored atomic coherence (magnon), which can be transformed reversibly to a single photon for use in quantum memories. We demonstrate experimentally that the Hermiticity of this interface determines the type of quantum interference between photons and atoms. Not only bunching that characterizes bosons is observed, but, counterintuitively, fermion-like antibunching as well. The hybrid nature of the demonstrated magnon-photon quantum interface can be applied to versatile memory platforms and leads to controllable photon distribution in linear network which is fundamentally different from boson sampling.

Chang-Ling Zou

Papers

Mechanical oscillator micro-cavity coupling body and optical circulator using mechanical oscillator micro-cavity coupling body

Photorefraction-induced Bragg scattering in cryogenic lithium niobate ring resonators

Proposal for stable atom trapping on a GaN-on-Sapphire chip

Quantum Nondemolition Measurement of the Spin Precession of Laser-Trapped <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll"><mml:msup><mml:mi /><mml:mn>171</mml:mn></mml:msup><mml:mi>Yb</mml:mi></mml:math> Atoms

Quantum interference between photons and single quanta of stored atomic coherence