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IEEE photonics journal

Modeling of Amplitude Squeezing in a Pump-Noise-Suppressed Interband Cascade Laser

Shiyuan Zhao, Frédéric Grillot

Published Mar 30, 2022• 10 citations
Publisher

Abstract

A semi-classical rate equation model for the amplitude squeezing of mid-infrared interband cascade lasers is presented based on Green's function method. We analytically investigate the squeezing performance through a small signal analysis, where an additional partition noise in the output power is considered because of the anti-correlation between photons reflected and transmitted at the output laser facet. Thus, the squeezing effect can be achieved in the low frequency region with noise-suppressed pump. Amplitude squeezed states in interband cascade lasers can qualitatively be evaluated depending on the pump noise conditions. Such ultra-low amplitude noise laser sources enable various applications such as high precision measurements, metrology, and spectroscopy range where squeezed states can be used to replace current shot-noise limited laser mid-infrared sources.

DOI
10.1109/jphot.2022.3163546

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A semi-classical rate equation model for the amplitude squeezing of mid-infrared interband cascade lasers is presented based on Green's function method. We analytically investigate the squeezing performance through a small signal analysis, where an additional partition noise in the output power is considered because of the anti-correlation between photons reflected and transmitted at the output laser facet. Thus, the squeezing effect can be achieved in the low frequency region with noise-suppressed pump. Amplitude squeezed states in interband cascade lasers can qualitatively be evaluated depending on the pump noise conditions. Such ultra-low amplitude noise laser sources enable various applications such as high precision measurements, metrology, and spectroscopy range where squeezed states can be used to replace current shot-noise limited laser mid-infrared sources.
The pump amplitude fluctuation of a current-driven semiconductor laser can be suppressed to below the ordinary shot-noise level by ``high-impedance suppression.'' As a result of this pump-fluctuation suppression, the output of a current-driven semiconductor laser exhibits amplitude squeezing in the frequency region below the cavity bandwidth. The noise equivalent circuits and the quantum-mechanical Langevin equations are derived and discussed for clarifying the difference between an ordinary laser oscillator with shot-noise-limited pump fluctuation and a constant-current-driven semiconductor laser.
Squeezed states of light are used for precision metrology and quantum-enhanced measurements, with applications spanning communication and sensing. State-of-the-art squeezed-light sources typically rely on optical cavities to achieve high, usable levels of squeezing. Recently, waveguide-based squeezed-light sources have demonstrated significant improvements in achievable squeezing, with performance currently limited by fabrication-induced losses. In this work, we present a detailed analysis of waveguide-based squeezers, examining the effects of phase noise, multiple loss mechanisms, and fundamental light leakage seeding the squeezer. We further investigate a cascaded squeezer architecture, in which a second waveguide operates as a phase-sensitive amplifier to mitigate out-coupling and detection losses. Owing to their ease of integration, robustness to high pump powers, and low intrinsic phase noise, we propose waveguide-based squeezed-light sources as a promising alternative for quantum noise reduction in future gravitational wave detectors, such as the Einstein Telescope.
A semiclassical model of semiconductor laser noise, based on the Green's function method, is used to derive analytical formulas for the amplitude and frequency noise spectra taking into account incoming vacuum fluctuations and noise due to internal loss. This formalism also takes into account phenomena such as gain suppression as well as spatial hole burning (SHB). The amplitude noise squeezing is studied for Fabry-Perot structures pointing out the influence of the laser structural parameters. A complete agreement with already existing quantum mechanical models is found. However, extension of the model to SHB induces limitations in the squeezing performances, which are very important for more complex structures as will be pointed out in detail, in Part II.
Our work investigates the generation of non-classical light by cascade lasers in the mid-infrared (MIR, 3–5μm) spectral region. Using a MIR-balanced detector sensitive to the intensity noise below the classical level, we demonstrated shot-noise-limited operations of MIR cascade lasers. The same setup was exploited to measure four-wave-mixing-induced correlations between modes in harmonic combs emitted by these devices. Moreover, we recently tested the electron-to-photon noise transfer function in cascade lasers, paving the way to control their emissions down to the quantum level. These novel insights should make laser sensing possible at unprecedented sensitivity levels.