Quantum noise and its evasion in feedback oscillators

Abstract Feedback oscillators, consisting of an amplifier whose output is partially fed back to its input, provide stable references for standardization and synchronization. Notably, the laser is such an oscillator whose performance can be limited by quantum fluctuations. The resulting frequency ins...

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Main Authors: Hudson A. Loughlin, Vivishek Sudhir
Format: Article
Language:English
Published: Nature Portfolio 2023-11-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-023-42739-9
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author Hudson A. Loughlin
Vivishek Sudhir
author_facet Hudson A. Loughlin
Vivishek Sudhir
author_sort Hudson A. Loughlin
collection DOAJ
description Abstract Feedback oscillators, consisting of an amplifier whose output is partially fed back to its input, provide stable references for standardization and synchronization. Notably, the laser is such an oscillator whose performance can be limited by quantum fluctuations. The resulting frequency instability, quantified by the Schawlow-Townes formula, sets a limit to laser linewidth. Here, we show that the Schawlow-Townes formula applies universally to feedback oscillators beyond lasers. This is because it arises from quantum noise added by the amplifier and out-coupler in the feedback loop. Tracing the precise origin of quantum noise in an oscillator informs techniques to systematically evade it: we show how squeezing and entanglement can enable sub-Schawlow-Townes linewidth feedback oscillators. Our analysis clarifies the quantum limits to the stability of feedback oscillators in general, derives a standard quantum limit (SQL) for all such devices, and quantifies the efficacy of quantum strategies in realizing sub-SQL oscillators.
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spelling doaj.art-795a7cda7bd641338d77d7d6dbf54e942023-11-05T12:24:07ZengNature PortfolioNature Communications2041-17232023-11-011411910.1038/s41467-023-42739-9Quantum noise and its evasion in feedback oscillatorsHudson A. Loughlin0Vivishek Sudhir1LIGO Laboratory, Massachusetts Institute of TechnologyLIGO Laboratory, Massachusetts Institute of TechnologyAbstract Feedback oscillators, consisting of an amplifier whose output is partially fed back to its input, provide stable references for standardization and synchronization. Notably, the laser is such an oscillator whose performance can be limited by quantum fluctuations. The resulting frequency instability, quantified by the Schawlow-Townes formula, sets a limit to laser linewidth. Here, we show that the Schawlow-Townes formula applies universally to feedback oscillators beyond lasers. This is because it arises from quantum noise added by the amplifier and out-coupler in the feedback loop. Tracing the precise origin of quantum noise in an oscillator informs techniques to systematically evade it: we show how squeezing and entanglement can enable sub-Schawlow-Townes linewidth feedback oscillators. Our analysis clarifies the quantum limits to the stability of feedback oscillators in general, derives a standard quantum limit (SQL) for all such devices, and quantifies the efficacy of quantum strategies in realizing sub-SQL oscillators.https://doi.org/10.1038/s41467-023-42739-9
spellingShingle Hudson A. Loughlin
Vivishek Sudhir
Quantum noise and its evasion in feedback oscillators
Nature Communications
title Quantum noise and its evasion in feedback oscillators
title_full Quantum noise and its evasion in feedback oscillators
title_fullStr Quantum noise and its evasion in feedback oscillators
title_full_unstemmed Quantum noise and its evasion in feedback oscillators
title_short Quantum noise and its evasion in feedback oscillators
title_sort quantum noise and its evasion in feedback oscillators
url https://doi.org/10.1038/s41467-023-42739-9
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