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

Daniel Töyrä, Daniel D. Brown, McKenna Davis, Shicong Song, Alex Wormald, Jan Harms, Haixing Miao, Andreas Freise

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

## 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.
Original language English 022006 Physical Review D (Particles, Fields, Gravitation and Cosmology) 96 2 https://doi.org/10.1103/PhysRevD.96.022006 Published - 13 Jul 2017

### Bibliographical note

10 pages, 12 figures

## Keywords

• physics.optics
• quant-ph

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