Gravitational waves: Perspectives of detection

With Giovanni Losurdo, the PI of Advanced Virgo, we recently dwelled on this subject in an invited review paper [1]. Here I first give a short introduction by answering in brief to a few basic and relevant questions, which I was often asked by colleagues not specifically working on gravitation. Then I highlight the main considerations discussed in [1], in a sort of guide for the reader, where more details and an extensive reference list can be found. For more complete info, I call the attention to a number of beautiful pictures, kindly provided by my colleagues, which I put on the IFAE website, but are not given here nor in [1]. After publication of [1], a few relevant developments occurred, especially in the long-term planning of experiments, on which I report here. To update the references would have resulted in adding some sort of ten percent more than those in [1], so I have added only a few, which I rate most recent and particularly relevant to the relative issue

Acoustic GW detectors in the 2010 timeframe

I consider the spectral sensitivities and bandwidths, in the standard quantum limit, of the narrowband spherical detectors, which would evolve from the present bar detectors and the wideband novel 'dual' detectors that have been proposed recently. If appropriate advanced fabrication and read-out technologies are developed, both kinds of GW acoustic detectors would play a relevant role in the near-kHz frequency region

Principles of wide bandwidth acoustic detectors and the single-mass DUAL detector

We apply the standard theory of the elastic body to obtain a set of equations describing the behavior of an acoustic Gravitational Wave detector, fully taking into account the 3-dimensional properties of the mass, the readout and the signal. We show that the advantages given by a Dual detector made by two nested oscillators can also be obtained by monitoring two different acoustic modes of the same oscillator, thus easing the detector realization. We apply these concepts and by means of an optimization process we derive the main figures of such a single-mass Dual detector designed specifically for the frequency interval 2-5kHz. Finally we calculate the SQL sensitivity of this detector.Comment: 29 pages, 10 figure

Dc superconducting quantum interference device amplifier for gravitational wave detectors with a true noise temperature of 16 μK

We report on the noise characterization of a two-stage dc superconducting quantum interference device (SQUID) amplifier developed for resonant gravitational wave detectors. The back action noise is estimated by coupling the SQUID to an electrical resonator at 1.6 kHz with Q=1.1×106. From measurements of back action and additive SQUID noise, performed in the temperature range 1.5–4.2 K, an upper limit is set on the noise temperature Tn of the device at the resonator frequency. The best value obtained at 1.5 K is Tn⩽16 μK and corresponds to 200 resonator quanta. The thermal component of the noise temperature is found in reasonable agreement with the predicted value

Timing with resonant gravitational wave detectors: An experimental test

We measure the time of arrival ${t}_{0}$ of a force signal acting on a room temperature gravitational wave antenna. The antenna has a noise spectral density whose shape is a rescaled replica of that predicted for the two subkelvin antennas located in Italy, once at their sensitivity goal. ${t}_{0}$ is expressed as {t}_{0}{=t}_{\ensuremath{\varphi}}{+kT}_{0} where ${T}_{0}$ is half the natural period of oscillation of the antenna, |{t}_{\ensuremath{\varphi}}|l~{T}_{0}/2, and $k$ is an integer. We measure the phase part {t}_{\ensuremath{\varphi}} with an accuracy of {\ensuremath{\sigma}}_{{t}_{\ensuremath{\varphi}}}\ensuremath{\approx}174\mathrm{\ensuremath{\mu}}\mathrm{s}/\mathrm{S}\mathrm{N}\mathrm{R}, where SNR is the signal to noise ratio for the signal amplitude. We also find that, for $\mathrm{SNR}g~20,$ the error on $k$ is \ensuremath{\delta}k\ensuremath{\ll}1 so that the total statistical error on the arrival time reduces to the phase error {\ensuremath{\sigma}}_{{t}_{\ensuremath{\varphi}}}. We discuss how this last result can be achieved even for smaller values of the SNR, by better tuning the modes of the antenna. We finally discuss the relevance of these results for source location and spuria events rejection with the two subkelvin detectors above