Ultrafast second-order nonlinear photonics -- from classical physics to
non-Gaussian quantum dynamics
- URL: http://arxiv.org/abs/2401.06265v3
- Date: Wed, 17 Jan 2024 06:33:24 GMT
- Title: Ultrafast second-order nonlinear photonics -- from classical physics to
non-Gaussian quantum dynamics
- Authors: Marc Jankowski, Ryotatsu Yanagimoto, Edwin Ng, Ryan Hamerly, Timothy
P. McKenna, Hideo Mabuchi, and M. M. Fejer
- Abstract summary: State-of-the-art devices achieve saturated nonlinear interactions with thousands of photons when driven by continuous-wave lasers.
Ultrafast pulses may soon push nonlinear optics into the realm of single-photon nonlinearities.
- Score: 0.0
- License: http://creativecommons.org/licenses/by-nc-sa/4.0/
- Abstract: Photonic integrated circuits with second-order ($\chi^{(2)}$) nonlinearities
are rapidly scaling to remarkably low powers. At this time, state-of-the-art
devices achieve saturated nonlinear interactions with thousands of photons when
driven by continuous-wave lasers, and further reductions in these energy
requirements enabled by the use of ultrafast pulses may soon push nonlinear
optics into the realm of single-photon nonlinearities. This tutorial reviews
these recent developments in ultrafast nonlinear photonics, discusses design
strategies for realizing few-photon nonlinear interactions, and presents a
unified treatment of ultrafast quantum nonlinear optics using a framework that
smoothly interpolates from classical behaviors to the few-photon scale. These
emerging platforms for quantum optics fundamentally differ from typical
realizations in cavity quantum electrodynamics due to the large number of
coupled optical modes. Classically, multimode behaviors have been well studied
in nonlinear optics, with famous examples including soliton formation and
supercontinuum generation. In contrast, multimode quantum systems exhibit a far
greater variety of behaviors, and yet closed-form solutions are even sparser
than their classical counterparts. In developing a framework for ultrafast
quantum optics, we will identify what behaviors carry over from classical to
quantum devices, what intuition must be abandoned, and what new opportunities
exist at the intersection of ultrafast and quantum nonlinear optics. While this
article focuses on establishing connections between the classical and quantum
behaviors of devices with $\chi^{(2)}$ nonlinearities, the frameworks developed
here are general and are readily extended to the description of dynamical
processes based on third-order ($\chi^{(3)}$) nonlinearities.
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