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Updated: Jul 10, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

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Published on: May 30, 2014

Spatial quantum noise in singly resonant second-harmonic generation.

P Lodahl, M Saffman

|November 17, 2007

Summary

This summary is machine-generated.

We investigated quantum noise in second-harmonic generation. Maximum squeezing occurs at zero wave number for stable fields, but shifts to a critical wave number under modulational instability.

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Generation and Coherent Control of Pulsed Quantum Frequency Combs

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Published on: June 8, 2018

Area of Science:

Quantum Optics
Nonlinear Optics
Quantum Noise

Background:

Singly resonant second-harmonic generation (SR-SHG) is a fundamental nonlinear optical process.
Understanding quantum noise spatial distribution is crucial for quantum information applications.
Spatial modulational instability can significantly alter optical field dynamics.

Purpose of the Study:

To analyze the spatial distribution of quantum noise in SR-SHG below threshold.
To investigate the impact of spatial modulational instability on quantum noise squeezing.
To compare noise behavior under stable and unstable intracavity field conditions.

Main Methods:

Theoretical calculations of quantum noise spectra in SR-SHG.
Analysis performed below the threshold for spatial modulational instability.
Examination of the spatial spectrum of quantum squeezing.

Main Results:

For modulationally stable intracavity fields, maximum quantum squeezing is observed at zero wave number (k=0).
Under conditions of modulational instability, maximum squeezing shifts to a finite wave number |k|=k(c).
The critical wave number k(c) corresponds to the classical threshold for modulational instability.

Conclusions:

Spatial modulational instability fundamentally alters the spatial distribution of quantum noise in SR-SHG.
The transition of maximum squeezing from k=0 to k(c) provides a signature of instability.
These findings have implications for controlling and utilizing quantum noise in nonlinear optical systems.