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Quantum noise of a white-light cavity using a double-pumped gain medium

Ma, Yiqiu and Miao, Haixing and Zhao, Chunnong and Chen, Yanbei (2015) Quantum noise of a white-light cavity using a double-pumped gain medium. Physical Review A, 92 (2). Art. No. 023807 . ISSN 1050-2947.

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Laser interferometric gravitational-wave detectors implement Fabry-Pérot cavities to increase their peak sensitivity. However, this is at the cost of reducing their detection bandwidth, which originates from the propagation phase delay of the light. The “white-light-cavity” idea, first proposed by Wicht et al. [Opt. Commun. 34, 431 (1997)], is to circumvent this limitation by introducing anomalous dispersion, using a double-pumped gain medium, to compensate for such a phase delay. In this article, starting from the Hamiltonian of the atom-light interaction, we apply an input-output formalism to evaluate the quantum noise of the system. We find that apart from the additional noise associated with the parametric amplification process noted by others, the stability condition for the entire system poses an additional constraint. By surveying the parameter regimes where the gain medium remains stable (not lasing) and stationary, we find that there is no net enhancement of the shot-noise-limited sensitivity. Therefore, other gain media or different parameter regimes should be explored for realizing the white-light cavity.

Item Type:Article
Related URLs:
URLURL TypeDescription DOIArticle Paper
Ma, Yiqiu0000-0001-7192-4874
Miao, Haixing0000-0003-2879-5821
Zhao, Chunnong0000-0001-5825-2401
Chen, Yanbei0000-0002-9730-9463
Additional Information:© 2015 American Physical Society. Received 6 January 2015; published 5 August 2015. We thank Atsushi Nishizawa, Bassam Helou, Belinda Pang, and other members of the LIGO-MQM discussion group for fruitful discussions. We thank Vsevolod Ivanov for reading our manuscript and André Fletcher for carefully proofreading the draft thereof. We also thank S. Shahriar for giving useful comments on the manuscript. Y.M. is supported by the Australian Department of Education, Science and Training. C.Z. is supported by the Australian Research Council. H.M. is supported by the Marie-Curie Fellowship. Y.C. is supported by NSF Grant No. PHY-1068881 and CAREER Grant No. PHY-0956189. Y.M. would like to thank Li Ju and David Blair for their keen support of his visit to Caltech where this work was done.
Funding AgencyGrant Number
Australian Departement of Education, Science and TrainingUNSPECIFIED
Australian Research Council (ARC)UNSPECIFIED
Marie-Curie FellowshipUNSPECIFIED
Issue or Number:2
Classification Code:PACS number(s): 42.50.Pq, 04.80.Nn, 95.55.Ym, 42.50.Lc
Record Number:CaltechAUTHORS:20150828-103327520
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:59947
Deposited By: Tony Diaz
Deposited On:28 Aug 2015 19:23
Last Modified:09 Mar 2020 13:19

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