Summary
It is shown that aresonant transducer is indispensable in a wide range of experimental conditions in order to accomplish optimum matching between a cryogenic antenna and a low-noise amplifier. Noise characteristics of a d.c. SQUID are analyzed and an improved design of a point contact d.c. SQUID is described. Conditions for transducer matching and detectability of a gravitational-wave signal are derived for a system employing a d.c. SQUID. It appears that a d.c. SQUID operating at the quantum-limited sensitivity could be realized in our proposed design and matched to a massive aluminum antenna cooled to 0.05 K by using a resonant superconducting inductive transducer. Presently achievable detector parameters are shown to be sufficient to allow a detection sensitivity corresponding to a resolution of a few photons in the antenna, the ultimate quantum-mechanical limit derived for an antenna instrumented with a linear-motion detector.
Riassunto
Si mostra che un trasduttore un trasduttore risonante è indispensabile in un ampio lasso di condizioni sperimentali allo scopo di ottenere condizioni operative ottimali tra un’antenna criogenica e un amplificatore a basso disturbo. Si analizzano caratteristiche di disturbo di uno SQUID d.c. e si descrive uno schema migliorato di uno SQUID d.c. a contatto puntiforme. Si derivano condizioni per l’uso del trasduttore e per la determinazione di un segnale di onda gravitazionale per un sistema che impiega lo SQUID d.c. Appare che uno SQUID d.c. che opera a sensibilità quanto-limitata potrebbe essere realizzato nello schema da noi proposto e collegato a un’antenna di alluminio massiva riscaldata a 0.05 K usando un trasduttore induttivo risonante superconduttore. Si mostra che i parametri del detettore attualmente ottenibili sono sufficienti per permettere una sensibilità di detezione corrispondente a una risoluzione di pochi fononi nell’antenna, il limite quantomeccanico definitivo derivato per un’antenna attrezzata con un detettore con moto lineare.
Резюме
Показывается, чторезонансный датчик необходим в широкой области зкспериментальных условий, чтобы получить оптимальное согласование межди криогенной антенной и усилителем. Анализируются характеристики шумов в dc SQUID и описывается улучшенная конструкция dc SQUID. Для системы, использующейся dc SQUID, выводятся условия для согласования датчика и для обнаружимости сигнала от гравитационных волн. Оказывается, что dc SQUID с чувствительностьу, ограниченной квантовыми эффектами, может быть реализован в предложенной нами конструкции и может быть согласован с массивной алюмниевой антенной, охлажденной до 0.05 К, используя резонансный сверхпроводящий нндуктивныи датчик. Показывается, что параметры детектора позволяют определить чувствительность детектирования, соответствующую разрешению нескольких фононов в антенне, т.е. соответствующую квантовомеханическому пределу.
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Work partly supported by the National Science Foundation.
The original manuscript of this paper was attached as an appendix to a research proposal to the National Science Foundation (December 1978) and copies of the preprints distributed in January 1979.
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Paik, H.J. Design of a resonant gravitational-wave detector with quantum-limited sensitivity. Nuov Cim B 55, 15–36 (1980). https://doi.org/10.1007/BF02728373
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DOI: https://doi.org/10.1007/BF02728373