TY - JOUR

T1 - Generalized analysis of quantum noise and dynamic backaction in signal-recycled Michelson-type laser interferometers

AU - Khalili, Farid Ya

AU - Tarabrin, Sergey P.

AU - Hammerer, Klemens

AU - Schnabel, Roman

PY - 2016/7/25

Y1 - 2016/7/25

N2 - We analyze the radiation-pressure-induced interaction of mirror motion and light fields in Michelson-type interferometers used for the detection of gravitational waves and for fundamental research in tabletop quantum optomechanical experiments, focusing on the asymmetric regime with a (slightly) unbalanced beam splitter and a (small) offset from the dark port. This regime, as it was shown recently, provides new interesting features, in particular a stable optical spring and optical cooling on cavity resonance. We show that, generally, the nature of optomechanical coupling in Michelson-type interferometers does not fit into the standard dispersive-dissipative dichotomy. In particular, a symmetric Michelson interferometer with signal-recycling but without power-recycling cavity is characterized by a purely dissipative optomechanical coupling; only in the presence of asymmetry, additional dispersive coupling arises. In gravitational waves detectors possessing signal- and power-recycling cavities, yet another coherent type of optomechanical coupling takes place. We develop here a generalized framework for the analysis of asymmetric Michelson-type interferometers, which also covers the possibility of the injection of carrier light into both ports of the interferometer. Using this framework, we analyze in depth the anomalous features of the Michelson-Sagnac interferometer, which have been discussed and observed experimentally previously [A. Xuereb, Phys. Rev. Lett. 107, 213604 (2011)PRLTAO0031-900710.1103/PhysRevLett.107.213604; S. P. Tarabrin, Phys. Rev. A 88, 023809 (2013);PLRAAN1050-294710.1103/PhysRevA.88.023809 A. Sawadsky, Phys. Rev. Lett. 114, 043601 (2015)PRLTAO0031-900710.1103/PhysRevLett.114.043601].

AB - We analyze the radiation-pressure-induced interaction of mirror motion and light fields in Michelson-type interferometers used for the detection of gravitational waves and for fundamental research in tabletop quantum optomechanical experiments, focusing on the asymmetric regime with a (slightly) unbalanced beam splitter and a (small) offset from the dark port. This regime, as it was shown recently, provides new interesting features, in particular a stable optical spring and optical cooling on cavity resonance. We show that, generally, the nature of optomechanical coupling in Michelson-type interferometers does not fit into the standard dispersive-dissipative dichotomy. In particular, a symmetric Michelson interferometer with signal-recycling but without power-recycling cavity is characterized by a purely dissipative optomechanical coupling; only in the presence of asymmetry, additional dispersive coupling arises. In gravitational waves detectors possessing signal- and power-recycling cavities, yet another coherent type of optomechanical coupling takes place. We develop here a generalized framework for the analysis of asymmetric Michelson-type interferometers, which also covers the possibility of the injection of carrier light into both ports of the interferometer. Using this framework, we analyze in depth the anomalous features of the Michelson-Sagnac interferometer, which have been discussed and observed experimentally previously [A. Xuereb, Phys. Rev. Lett. 107, 213604 (2011)PRLTAO0031-900710.1103/PhysRevLett.107.213604; S. P. Tarabrin, Phys. Rev. A 88, 023809 (2013);PLRAAN1050-294710.1103/PhysRevA.88.023809 A. Sawadsky, Phys. Rev. Lett. 114, 043601 (2015)PRLTAO0031-900710.1103/PhysRevLett.114.043601].

UR - http://www.scopus.com/inward/record.url?scp=84979917663&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.94.013844

DO - 10.1103/PhysRevA.94.013844

M3 - Article

AN - SCOPUS:84979917663

VL - 94

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 1

M1 - 013844

ER -