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

Research output: Contribution to journalArticlepeer-review

## Authors

• Daniel Töyrä
• McKenna Davis
• Shicong Song
• Alex Wormald
• Jan Harms

## 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.

## Bibliographic note

10 pages, 12 figures

## Details

Original language English 022006 Physical Review D (Particles, Fields, Gravitation and Cosmology) 96 2 Published - 13 Jul 2017

## Keywords

• physics.optics, quant-ph