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Quantum Metrology for Enhanced Gravitational-Wave Detection
Quantum Metrology for Enhanced Gravitational-Wave Detection
Quantum Metrology for Enhanced Gravitational-Wave Detection

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자료유형  
 학위논문 서양
최종처리일시  
20260202105057
ISBN  
9798288817021
DDC  
520
저자명  
Tarafder, Rajashik.
서명/저자  
Quantum Metrology for Enhanced Gravitational-Wave Detection
발행사항  
[Sl] : California Institute of Technology, 2025
발행사항  
Ann Arbor : ProQuest Dissertations & Theses, 2025
형태사항  
114 p
주기사항  
Source: Dissertations Abstracts International, Volume: 87-01, Section: B.
주기사항  
Advisor: Chen, Yanbei.
학위논문주기  
Thesis (Ph.D.)--California Institute of Technology, 2025.
초록/해제  
요약Current ground-based gravitational wave detectors are reaching sensitivity limits imposed by quantum, thermal, seismic, and Newtonian noise, motivating the development of novel techniques to surpass these fundamental barriers. This thesis investigates two complementary approaches to enhance interferometric gravitational wave astronomy: displacement-noise-free interferometry (DFI) and real-time waveform estimation via Kalman filtering.First, we introduce a resonant triangular-cavity topology that, by exploiting redundant readout channels, isolates phase shifts induced by gravitational waves from mirror displacement noise. Within an input-output formalism, we define the displacement-free subspace as the null space of the mirror-noise transfer matrix and demonstrate that this configuration retains finite quantum Fisher information even in the limit of arbitrarily large mirror motion. Incorporating realistic thermal and radiation-pressure noise models, we derive optimal homodyne detection angles, characterize pseudo-displacement-free modes over finite bandwidths, and quantify the effect of injected squeezing. Extensions to n-gon cavity networks further establish the versatility and practical feasibility of the DFI paradigm.Second, we cast the readout of detuned interferometers as a multi-parameter estimation problem, where gravitational-wave signals couple amplitude and phase quadratures. To recover the quantum Cramer-Rao bound for a chosen quadrature, we design Bayesian filters --- specifically, Extended and Unscented Kalman Filters --- that treat the orthogonal quadrature as an effective disturbance. Numerical simulations under realistic signal-to-noise conditions reveal that these filters attain the optimal bound for amplitude estimation while providing reliable uncertainty quantification, matching the performance of particle-filter approaches at a fraction of the computational cost.By combining architectural immunity to displacement noise with algorithmic optimality in waveform extraction, this work lays a foundation for quantum-enhanced, broadband gravitational wave observatories. The results inform near-term upgrades and guide the conceptual design of third-generation detectors (e.g., Einstein Telescope, Cosmic Explorer), where mitigating low-frequency environmental noise and delivering real-time signal processing are critical.
일반주제명  
Astronomy
일반주제명  
Interferometry
일반주제명  
Lasers
일반주제명  
Black holes
일반주제명  
Neutron stars
일반주제명  
Gravitational waves
일반주제명  
Kalman filters
일반주제명  
Optics
일반주제명  
Astrophysics
기타저자  
California Institute of Technology Physics Mathematics and Astronomy
기본자료저록  
Dissertations Abstracts International. 87-01B.
전자적 위치 및 접속  
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MARC

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■006m          o    d                
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■020    ▼a9798288817021
■035    ▼a(MiAaPQ)AAI32205953
■035    ▼a(MiAaPQ)Caltech17328
■040    ▼aMiAaPQ▼cMiAaPQ
■0820  ▼a520
■1001  ▼aTarafder,  Rajashik.▼0(orcid)0000-0002-5994-3105
■24510▼aQuantum  Metrology  for  Enhanced  Gravitational-Wave  Detection
■260    ▼a[Sl]▼bCalifornia  Institute  of  Technology▼c2025
■260  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2025
■300    ▼a114  p
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  87-01,  Section:  B.
■500    ▼aAdvisor:  Chen,  Yanbei.
■5021  ▼aThesis  (Ph.D.)--California  Institute  of  Technology,  2025.
■520    ▼aCurrent  ground-based  gravitational  wave  detectors  are  reaching  sensitivity  limits  imposed  by  quantum,  thermal,  seismic,  and  Newtonian  noise,  motivating  the  development  of  novel  techniques  to  surpass  these  fundamental  barriers.  This  thesis  investigates  two  complementary  approaches  to  enhance  interferometric  gravitational  wave  astronomy:  displacement-noise-free  interferometry  (DFI)  and  real-time  waveform  estimation  via  Kalman  filtering.First,  we  introduce  a  resonant  triangular-cavity  topology  that,  by  exploiting  redundant  readout  channels,  isolates  phase  shifts  induced  by  gravitational  waves  from  mirror  displacement  noise.  Within  an  input-output  formalism,  we  define  the  displacement-free  subspace  as  the  null  space  of  the  mirror-noise  transfer  matrix  and  demonstrate  that  this  configuration  retains  finite  quantum  Fisher  information  even  in  the  limit  of  arbitrarily  large  mirror  motion.  Incorporating  realistic  thermal  and  radiation-pressure  noise  models,  we  derive  optimal  homodyne  detection  angles,  characterize  pseudo-displacement-free  modes  over  finite  bandwidths,  and  quantify  the  effect  of  injected  squeezing.  Extensions  to  n-gon  cavity  networks  further  establish  the  versatility  and  practical  feasibility  of  the  DFI  paradigm.Second,  we  cast  the  readout  of  detuned  interferometers  as  a  multi-parameter  estimation  problem,  where  gravitational-wave  signals  couple  amplitude  and  phase  quadratures.  To  recover  the  quantum  Cramer-Rao  bound  for  a  chosen  quadrature,  we  design  Bayesian  filters  ---  specifically,  Extended  and  Unscented  Kalman  Filters  ---  that  treat  the  orthogonal  quadrature  as  an  effective  disturbance.  Numerical  simulations  under  realistic  signal-to-noise  conditions  reveal  that  these  filters  attain  the  optimal  bound  for  amplitude  estimation  while  providing  reliable  uncertainty  quantification,  matching  the  performance  of  particle-filter  approaches  at  a  fraction  of  the  computational  cost.By  combining  architectural  immunity  to  displacement  noise  with  algorithmic  optimality  in  waveform  extraction,  this  work  lays  a  foundation  for  quantum-enhanced,  broadband  gravitational  wave  observatories.  The  results  inform  near-term  upgrades  and  guide  the  conceptual  design  of  third-generation  detectors  (e.g.,  Einstein  Telescope,  Cosmic  Explorer),  where  mitigating  low-frequency  environmental  noise  and  delivering  real-time  signal  processing  are  critical.
■590    ▼aSchool  code:  0037.
■650  4▼aAstronomy
■650  4▼aInterferometry
■650  4▼aLasers
■650  4▼aBlack  holes
■650  4▼aNeutron  stars
■650  4▼aGravitational  waves
■650  4▼aKalman  filters
■650  4▼aOptics
■650  4▼aAstrophysics
■690    ▼a0752
■690    ▼a0606
■690    ▼a0596
■71020▼aCalifornia  Institute  of  Technology▼bPhysics,  Mathematics  and  Astronomy.
■7730  ▼tDissertations  Abstracts  International▼g87-01B.
■790    ▼a0037
■791    ▼aPh.D.
■792    ▼a2025
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17359299▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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