Topics of LIGO physics: quantum noise in advanced interferometers and template banks for compact-binary inspirals

black-hole binaries;gravitational waves;quantum measurement;quantum non-demolition

Chen, Yanbei ; Thorne, Kip S.

University:California Institute of Technology

Department:Physics, Mathematics and Astronomy

关键词: black-hole binaries;    gravitational waves;    quantum measurement;    quantum non-demolition;   

Others  :  https://thesis.library.caltech.edu/2286/1/thesis.pdf

美国|英语

来源: Caltech THESIS

【 摘 要 】

This thesisdeals with the planning for advanced interferometric gravitational-wave detectors, as well as the detection of inspiral waves using first-generation interferometers.In Chapters 2 -- 4 (in collaboration with Alessandra Buonanno), the the signal recycling interferometer proposed for LIGO-II is studied in the two-photon formalism. This study reveals the optical spring effect, which allows the interferometer to beat the standard quantum limit, while in the same time introduces a dynamical instability.A classical control system is designed to suppress this instability. In Chapter 5 (in collaboration with Alessandra Buonanno and Nergis Mavalvala), the quantum noise in heterodyne readout schemes for advanced interferometers is studied.In Chapter 6 (in collaboration with Patricia Purdue), a QND Speed-Meter interferometer with Michelson topology is proposed, analyzed and shown to be a promising candidate for third-generation interferometers (LIGO-III or EURO). This design requires adding a kilometer-scale cavity into the interferometer. In Chapter 7,Sagnac interferometers are analyzed and shown to exhibit a similar broadband QND performance without the need of additional cavity --- as expected since these interferometers are sensitive only totime-dependentmirror displacement, and are automatic speed meters.In Chapter 8 (in collaboration with Alessandra Buonanno and Michele Vallisneri), the Post-Newtonian (PN) breakdown at late-stage inspirals of non-spinning binary black holes is studied. We propose the use of Detection TemplateFamilies (DTFs) --- extensions of ordinary PN templates that can mimic all different PN waveformsand hence are plausible to catch the real waveform, yet do not provide straightforward parameter estimation. In Chapter 9 (in collaboration with Alessandra Buonanno and Michele Vallisneri), binaries carrying spins are studied using an adiabatic PN model. Based on features of the precession dynamics, we construct a DTF, usinga modified Apostolatos' ansatz,thatcan mimic the modulated waveforms reasonably well, while keepinga small number of parameters tobe searched over one by one, with the restsearched over automatically. We also propose a (computationally) plausible way of searching over the entire physical parameter space of neutron-star--black-hole binaries.