Coherent LQG Control, Free-Carrier Oscillations, Optical Ising Machines and Pulsed OPO Dynamics

Abstract

Broadly speaking, this thesis is about nonlinear optics, quantum mechanics, and computing. More specifically, it covers four main topics: Coherent LQG Control, Free-Carrier Oscillations, Optical Ising Machines and Pulsed OPO Dynamics. Tying them all together is a theory of open quantum systems called the SLH model, which I introduce in Chapters 1-2. The SLH model is a general framework for open quantum systems that interact through bosonic fields, and is the basis for the quantum circuit theory developed in the text. Coherent LQG control is discussed in Chapters 3-4, where I demonstrate that coherent feedback outperforms measurement-based feedback for certain linear quadratic-Gaussian (LQG) problems, and explain the discrepancy by the former's simultaneous utilization of both light quadratures. Semiclassical truncated-Wigner techniques for quantum-optical networks are discussed in Chapter 5, leading to a thorough discussion of quantum noise in systems with free-carrier nonlinearities (Chapter 6), comparison to the Kerr nonlinearity, and potential applications for analog computing based on limit cycles and amplification (Chapters 7-8). Ising machines based on optical parametric oscillators (OPOs) are discussed in Chapters 9-10, the former focusing on large 1D and 2D networks of OPOs, and the latter on the dynamics of a single OPO in the ultrafast, synchronously-pumped regime. Optical properties and design considerations for silicon photonic waveguides are are treated in Chapter 11.

414 pages, 12 tables, 158 figures, 332 references. Stanford University PhD thesis. Readers: Harold Hwang, Surya Ganguli, Patrick Hayden

References in corpus (17)

• Quantum nature of a strongly-coupled single quantum dot-cavity system
• Bright Coherent Ultrahigh Harmonics in the keV X-Ray Regime from Mid-Infrared Femtosecond Lasers
• Quantum Theory of Cavity-Assisted Sideband Cooling of Mechanical Motion
• Theory of ground state cooling of a mechanical oscillator using dynamical back-action
• Self-cooling of a micro-mirror by radiation pressure
• Generation of a superposition of odd photon number states for quantum information networks
• Network of Time-Multiplexed Optical Parametric Oscillators as a Coherent Ising Machine
• Giant optical Faraday rotation induced by a single electron spin in a quantum dot: Applications to entangling remote spins via a single photon
• Coherent-feedback quantum control with a dynamic compensator
• Beating quantum limits in optomechanical sensor by cavity detuning
• Low-lying bifurcations in cavity quantum electrodynamics
• Spatial homogeneity of optically switched semiconductor photonic crystals and of bulk semiconductors
• Coherent supercontinuum generation in a silicon photonic wire in the telecommunication wavelength range
• Commutativity of the adiabatic elimination limit of fast oscillatory components and the instantaneous feedback limit in quantum feedback networks
• Derivation of Maxwell-Bloch-type equations by projection of quantum models
• Towards the theory of control in observable quantum systems
• Optomechanics (a brief review)