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arXiv:1611.07520

Photons Squeezing Model in a Nonlinear Micro-ring Resonator

W. Khunnam, Jalil Ali, Preecha P. Yupapin

Published Nov 22, 2016• 0 citations
arXivHTMLPDF

Abstract

Principally, there are two forms of coupling energy when particle(photon) is moving around the micro-ring resonator, which is generated by the construction (creation) and the destruction (annihilation) energies that can disturb the centre nonlinear microring resonator and lead the system unstable from the harmonic motion, from which the squeezing state of the particle can occur. The detected outputs either electrons and their spins or photons can be useful for the new era of electronic devices and circuits, where the classical electronics, plasmonic electronics, spintronic electronics and quantum electronics can be combined and realized.

DOI
10.48550/arxiv.1611.07520

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Principally, there are two forms of coupling energy when particle(photon) is moving around the micro-ring resonator, which is generated by the construction (creation) and the destruction (annihilation) energies that can disturb the centre nonlinear microring resonator and lead the system unstable from the harmonic motion, from which the squeezing state of the particle can occur. The detected outputs either electrons and their spins or photons can be useful for the new era of electronic devices and circuits, where the classical electronics, plasmonic electronics, spintronic electronics and quantum electronics can be combined and realized.
In analysis of a new technique for quantum key distribution using the entangled photon within a micro ring resonator is presented. The Kerr nonlinear effects type of light circulates in the micro ring resonator is induced into the device. The superposition i.e. four-wave mixing of the propagating waves at resonance is occurred, where the entangled photon is generated. The possible two entangle pairs is described and discussed. The proposed system has shown the potential of using in the realistic system, where such a device scale can be fabricated and performed within the mobile telephone hand set, which means the use of quantum telephone will be realized in the near future.
Whispering gallery modes (WGMs) of waves in nature such as electromagnetic wave, sound wave, and matter wave have shown interesting results, which can be useful for fundamental studies and applications in optoelectronics and nanoelectronics, especially after the announcement of the 2012 Nobel Prize in Physics for WGMs [1,2], where the authors confirmed that atoms can be trapped (stopped) by using WGMs in a microsphere. However, there are two more kinds of devices that can be used to trap light beams (atoms); the use of microcavity arrays performed by Yanik and Fan [3], and a nonlinear microring resonator by Yupapin and Pornsuwancharoen [4] for stopping light. Recently, Ang and Ngo [5] have also done experiments with slowing light in microresonators using a microring system. In this article, a new design of microring resonator device is proposed, which can be used to generate four forms of light simultaneously on a chip, whereas the storing and harvesting of trapped atoms/molecules can also be available. The proposed device is made up of silica and InGaAsP/InP with linear optical add-drop filter incorporating two nonlinear micro/nano rings on both sides of the center ring (modified add-drop filter). This particular configuration is known as a PANDA ring resonator [6] as shown in Figure 14.1. Light pulse, for instance, Gaussian, and bright and dark solitons are fed into the system through different ports such as an add port and through port. By using the practical device parameters, the simulation results are obtained using the Optiwave and MATLAB programs. Results obtained by both analytical and numerical methods show that many applications can be exploited. In application, when the practical device parameters are used, then such a device can be fabricated and implemented in the near future.
We have proposed the simple method of the squeezed light generation in the modified microring resonator, which is known as the microring conjugate mirror (MCM). When the monochromatic light is input into the MCM, the general form of the squeezed coherent states for a quantum harmonic oscillator can be generated by controlling the additional two side rings, which are the phase modulators. By using the graphical method called the Optiwave program, the coherent squeezed states of coherent light within an MCM can be obtained and interpreted as the amplitude, phase, quadrature and photon number-squeezed states. This method has shown potentials for microring related device design, which can be used before practical applications.
Systems of coupled cavities have the potential to provide bright quantum optical states of light in a highly versatile manner. Micro-ring resonators for instance are highly scalable candidates for photon sources thanks to CMOS fabrication techniques and their small footprint, however, surface roughness of the wave-guides, and defects in the coupler geometry routinely induce splitting of the cavity modes due to back-scattering and back-coupling. The parasitic back-propagating mode in the micro-ring leads to hybridisation of the modes, altering the linear and nonlinear properties of this coupled cavity system, and ultimately constraining the fidelity of quantum light sources that can be produced. In this paper, we derive a comprehensive general model for Gaussian non-linear processes in coupled cavity systems, based on an effective field Hamiltonian and a dispersive input-output model. The resulting dynamics of the equations of motion are evaluated in a Gaussian process formalism via the symplectic transformations on the optical modes. We numerically model and explore the problem of back-scattering in micro-ring resonators in physically relevant parameter regimes, involving the splitting of various resonances, we calculate the consequent impurity and heralding efficiency of various heralded photon schemes, we explore a perturbative explanation of the observations and assess the correspondence between spontaneous and stimulated processes in these systems.
One of the key building blocks of quantum photonic systems is a source of indistinguishable photons. Silicon ring resonators can be used as photon pair sources by taking advantage of silicon's large third order nonlinearity with a process known as spontaneous four wave mixing. These sources are capable of producing pairs of indistinguishable photons but typically suffer from an effective 50% loss. By slightly decoupling the input waveguide from the ring, the desired photons generated in the ring can be directed to the drop port. Thus, the ratio between the coincidences from the drop port and the total number of coincidences from all ports (coincidence efficiency) can be significantly increased, with the trade-off being that the pump is less efficiently coupled into the ring. This asymmetric coupling scheme was used to demonstrate a dual-bus microring source with a coincidence efficiency of ~96%. Unfortunately, the penalty to pump power was quite large, with a required ~10x increase in the pump power to maintain the same pair generation rate.\nTo further improve upon this result, a microring source was designed with multipoint evanescent couplers to induce a strong spectral dependence in the coupling coefficients. This coupler design can be used on both sides of the ring resonator so that resonances supported by one of the couplers are suppressed by the other. This is the ideal configuration for a ring-based photon-pair source as it can only support the pump photons at the input side while only allowing the generated photons to leave through the output side. Asymmetric coupling was also used in this configuration but in a different way than in the previous source. In this case, the input side of the ring was configured to be critically coupled for maximal resonance enhancement while the output side was configured to be over coupled to minimize photon-pair loss within the ring. This device design was used to demonstrate a photon-pair source with coincidence efficiencies of 0.9981+-6.425x10^-4 and 0.9979+-1.665x10^-3 for degenerate and non-degenerate pump configuration respectively.\nIn addition to the source development, work was done to move some of the pump rejection filtering onto the photonic chip. While the fabricated device only exhibited an extinction of 50 dB, the root cause of the limited extinction was explored and a new filter design was proposed to overcome these limitations. With the combination of the microring source with its greatly improved efficiency and the movement toward reducing the required off-chip filtering, this work represents a significant advancement in the scalability of integrated quantum photonic systems which can enable high performance quantum computing and communication systems.