Fully quantum-mechanical dynamic analysis of single-photon transport in a single-mode waveguide coupled to a traveling-wave resonator

Abstract

We analyze the dynamics of single photon transport in a single-mode waveguide coupled to a micro-optical resonator using a fully quantum mechanical model. We examine the propagation of a single-photon Gaussian packet through the system under various coupling conditions. We review the theory of single photon transport phenomena as applied to the system and we develop a discussion on the numerical technique we used to solve for dynamical behavior of the quantized field. To demonstrate our method and to establish robust single photon results, we study the process of adiabatically lowering or raising the energy of a single photon trapped in an optical resonator under active tuning of the resonator. We show that our fully quantum mechanical approach reproduces the semi-classical result in the appropriate limit and that the adiabatic invariant has the same form in each case. Finally, we explore the trapping of a single photon in a system of dynamically tuned, coupled optical cavities.

Tunable slowing, storing, and releasing of a weak microwave field

“…The dynamics of our system is different from those of the previous works [35,36]. In our system the first resonator modeâ 1 couples both traveling modesĉ T andĉ R , while the second resonator modeâ 2 only interacts with the modeâ 1 .…”

Photon-pair generation in a lossy microring resonator. II. Entanglement in the output mixed Gaussian squeezed state

“…Previously, we have (i) examined the quantum dynamics of a single bus microring resonator [23], (ii) proposed and analyzed a 'fundamental circuit' element for this class of devices [12], and (iii) extended the analysis of the fundamental circuit element to examine its response in the presence of quantum noise [3].…”

“…Specifically, in references [3,12,23] we demonstrate theoretically advantageous enhancements of the operating parameter spaces of the devices we consider owing to the Passive Quantum Optical Feedback (PQOF) that is a signature feature of the architecture for this class of device. In this paper, and in the first paper in this two paper sequence (AH-I), we have extended the analysis to include on-chip, intra-ring photon generation via the processes of SPDC and SFWM.…”

“…Our current and future work is focused upon using the theoretical and computational tools we have developed so far in [1,3,12,23] and this current work to inform the design and to optimize the function of devices of high impact for Linear Quantum Optical Information processing, such as the Knill-Laflamme-Milburn (KLM) CNOT gate [24]. Further, we are investigating larger networks of directionally coupled silicon nanophonotonic waveguide/mrr arrays for possible quantum advantages with respect to communications, sensing and metrology [25,26].…”

Theoretical analysis of on-chip linear quantum optical information processing networks

“…A few years ago, we published theoretical results for the single photon dynamics of such a system in which we have shown via a fully quantum mechanical dynamical analysis that the waveguide/ring resonator system exhibits time bin entanglement with the single mode vacuum, efficient adiabatic wavelength conversion, and long term photon storage 16 . The analysis presented in Reference [16] essentially follows a scattering theory approach to modeling the system [17][18][19][20] .…”