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Multiphoton wavefunction after the Kerr interaction

Kazuki Koshino

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

With the goal of achieving all-optical quantum information processing, singlephoton engineering has become one of the hottest research topics in physics. Rapid progress has been made in generating and detecting single photons, and also in information processing based on linear optics. Furthermore, the discovery of optical nonlinearity that is sensitive to individual photons has raised the possibility of using one photon to control another photon, increasing the need to develop a quantitative theory of nonlinear quantum optics.The simplest method to analyze the nonlinear dynamics of photons is to introduce an effective nonlinearinteraction Hamiltonian based on the singlemode approximation. For example, the following time evolution operator has conventionally been used for the self-Kerr interaction: ˆ

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With the goal of achieving all-optical quantum information processing, singlephoton engineering has become one of the hottest research topics in physics. Rapid progress has been made in generating and detecting single photons, and also in information processing based on linear optics. Furthermore, the discovery of optical nonlinearity that is sensitive to individual photons has raised the possibility of using one photon to control another photon, increasing the need to develop a quantitative theory of nonlinear quantum optics.The simplest method to analyze the nonlinear dynamics of photons is to introduce an effective nonlinearinteraction Hamiltonian based on the singlemode approximation. For example, the following time evolution operator has conventionally been used for the self-Kerr interaction: ˆ
This research program investigated the dynamics of open quantum systems in manifestly quantum or nonclassical domains. The research program exploited recently discovered possibilities in the microscopic realm of quantum mechanics to accomplish tasks that would otherwise be impossible by traditional classical means, including new capabilities for precision measurement and for the processing and distribution of information. Within this setting, the particular investigations related to strong coupling in optical physics whereby nonlinear interactions require only single atoms and photons. The research achieved capabilities beyond traditional nonlinear optics and laser physics and moved into a new regime with dynamical processes involving atoms and photons taken one by one. The research program addressed fundamental issues related to quantum metrology, to quantum communications, and to the general development of quantum information sciences. The most important accomplishments of this work have been the following: (1) The first demonstration of a laser that operates with a single atom; (2) The first realization of a deterministic source for single photons that generates single photons "on demand" from one atom trapped in a cavity; (3) The development of a protocol for the real-time determination of the number of trapped atoms inside an optical cavity in a regime of strong coupling, with N = 0,1,2,3...atoms; and (4) The first experiment to achieve manifestly quantum or nonclassical photon correlations suitable for the implementation of scalable quantum communications networks.
Large Kerr nonlinearities are of significant interest for photonic quantum information processing and can be applied towards developing deterministic single photon sources and implementing deterministic quantum logic gates. The required strong nonlinear interaction between photons can be achieved by enhancing the light-matter interaction using alkali vapors interacting with a tightly confined optical mode area, such as that of a waveguide. The guiding properties of the waveguide over long distances helps in achieving a long interaction length while simultaneously increasing the atom-photon coupling by maintaining a small mode area over the entire guiding length. In this thesis, we explore the large effective Kerr nonlinearities (γ) of Rubidium vapor interacting with the optical mode of hollow-core photonic band-gap fibers (Rb-PBGF) and the tightly confined evanescent field of air-clad silicon nitride waveguides (Rb-chip). We have demonstrated efficient and noiseless frequency conversion at low power levels leveraging the large γ for the Rb-PBGF system. As proof of principle, we have also generated spectrally bright quantum correlated photon-pairs in a warm Rb vapor-cell and have proposed an extension of the experiment in the Rb-PBGF platform, which could lead to near unit photon pair generation efficiency. During the course of the study, we have also significantly improved the Rb-PBGF system by attaining an almost continuous operation lasting for several hours (1000X longer) while generating optical depths (OD's) ~ 50, which are required to attain single photon-level nonlinearity in the Rb-PBGF system. Developing on-chip CMOS [complimentary metal-oxide-semiconductor] compatible Rb vapor based platforms can not only achieve large γ, but also significantly reduce the footprint of the device and make it more compatible with other chip-based platforms. In our present work, we have demonstrated the feasibility of this approach by achieving extended interaction time-scales for, air-clad silicon nitride waveguides coated with aluminum oxide and evanescently coupled to warm Rb vapor. The thin aluminum oxide layer has greatly helped in preventing corrosive damage caused by Rb to the nitride surface that have improved the operational lifetimes by a factor > 100. During the course of our study, we realized the limitations of known platforms towards generating tunable sources of single photons at near-visible wavelengths; a wavelength regime at which great progress has been made for quantum storage and detection. Towards the end of this work, we have experimentally demonstrated a broadband frequency comb at near-visible wavelengths by engineering anomalous dispersion for higher order waveguide modes in silicon nitride microresonators. The underling process of parametric wave-mixing being the same for frequency combs and correlated photon-pair generation; our work opens new possibilities for developing spectrally narrow single photon sources in the near-visible which are compatible with highly nonlinear alkali vapor based systems like the Rb-PBGF and Rb-chip platform.
Nonlinear photonics studies situations in which light passing through a material can be used to create, reshape, or convert other light in ways that are not possible in ordinary optical systems. In recent years, this has become especially important for quantum photonics, where carefully prepared states of light are used as resources for emerging technologies such as secure communication, ultra-precise measurement, and new forms of information processing. A major challenge, however, is that these effects are delicate, difficult to control, and highly sensitive to the imperfections that arise when trying to build practical devices on a chip. This thesis examines how such nonlinear quantum-optical processes can be both engineered more deliberately and modelled more realistically, with the broader goal of helping move quantum photonic technology from proof-of-principle laboratory demonstrations toward robust and scalable implementation. To do this, the thesis first places nonlinear quantum photonics in a broader technological context and explains the main physical ideas needed to understand how quantum states of light are generated, transformed, and measured. It then develops this picture through a set of concrete examples. These include a method for generating quantum light on a chip while avoiding one of the field’s standard fabrication steps, a proposed chip-scale device that could help connect otherwise incompatible quantum systems by changing the colour and spectral width of light, and a modelling framework that links quantum theory directly to realistic fabricated waveguides, including common imperfections such as loss, non-uniformity, and writing errors. The thesis also reviews a wider class of design methods in which the nonlinear properties of a material are deliberately patterned in order to tailor the light produced. Taken together, the central message is that progress in quantum photonics will depend not only on discovering new effects, but on learning how to design, fabricate, and model these devices in ways that make them practical outside idealized laboratory conditions.