Multi-spatial-mode effects in squeezed-light-enhanced interferometric gravitational wave detectors

Abstract

Proposed near-future upgrades of the current advanced interferometric gravitational wave detectors include the usage of frequency dependent squeezed light to reduce the current sensitivity-limiting quantum noise. We quantify and describe the degradation effects that spatial mode-mismatches between optical resonators have on the squeezed field. These mode-mismatches can to first order be described by scattering of light into second-order Gaussian modes. As a demonstration of principle, we also show that squeezing the second-order Hermite-Gaussian modes ${\mathrm{HG}}_{02}$ and ${\mathrm{HG}}_{20}$, in addition to the fundamental mode, has the potential to increase the robustness to spatial mode-mismatches. This scheme, however, requires independently optimized squeeze angles for each squeezed spatial mode, which would be challenging to realise in practise.

arXiv comment10 pages, 12 figures

References in corpus (17)

• Advanced LIGO
• Conversion of conventional gravitational-wave interferometers into QND interferometers by modifying their input and/or output optics
• Quantum Imaging
• Quantum-enhanced optical phase tracking
• Interferometer Techniques for Gravitational-Wave Detection
• Squeezed-input, optical-spring, signal-recycled gravitational-wave detectors
• Realistic Filter Cavities for Advanced Gravitational Wave Detectors
• Experimental characterization of frequency dependent squeezed light
• Frequency domain interferometer simulation with higher-order spatial modes
• Decoherence and degradation of squeezed states in quantum filter cavities
• Optimal configurations of filter cavity in future gravitational-wave detectors
• Mathematical framework for simulation of quantum fields in complex interferometers using the two-photon formalism
• Generation of Squeezing in Higher Order Hermite-Gaussian Modes with an Optical Parametric Amplifier
• Quantum variational measurement in the next generation gravitational-wave detectors
• Single-mode squeezing in arbitrary spatial modes
• Effects of static and dynamic higher-order optical modes in balanced homodyne readout for future gravitational waves detectors
• Quantum-Noise Power Spectrum of Fields with Discrete Classical Components

Cited by in corpus (4)

• Mitigating mode-matching loss in nonclassical laser interferometry
• Robust squeezed light against mode mismatch using a self imaging optical parametric oscillator
• Beam focusing and reduction of quantum uncertainty in width at the few-photon level via multi-spatial-mode squeezing
• An optical lock-in camera for advanced gravitational wave interferometers