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Probing macroscopic quantum states with a sub-Heisenberg accuracy

Miao, Haixing and Danilishin, Stefan and Müller-Ebhardt, Helge and Rehbein, Henning and Somiya, Kentaro and Chen, Yanbei (2010) Probing macroscopic quantum states with a sub-Heisenberg accuracy. Physical Review A, 81 (1). 012114. ISSN 1050-2947.

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Significant achievements in high-sensitivity measurements will soon allow us to probe quantum behaviors of macroscopic mechanical oscillators. In a recent work [Phys. Rev. A 80, 043802 (2009)], we formulated a general framework for treating preparation of Gaussian quantum states of macroscopic oscillators through linear position measurements. To outline a complete procedure for testing macroscopic quantum mechanics, here we consider a subsequent verification stage which probes the prepared macroscopic quantum state and verifies the quantum dynamics. By adopting an optimal time-dependent homodyne detection in which the phase of the local oscillator varies in time, the conditional quantum state can be characterized below the Heisenberg limit, thereby achieving a quantum tomography. In the limiting case of no readout loss, such a scheme evades measurement-induced back action, which is identical to the variational-type measurement scheme invented by Vyatchanin et al. [JETP 77, 218 (1993)] but in the context for detecting gravitational waves. To motivate macroscopic quantum mechanics experiments with future gravitational-wave detectors, we mostly focus on the parameter regime where the characteristic measurement frequency is much higher than the oscillator frequency and the classical noises are Markovian, which captures the main feature of a broadband gravitational-wave detector. In addition, we discuss verifications of Einstein-Podolsky-Rosen-type entanglement between macroscopic test masses in future gravitational-wave detectors, which enables us to test one particular version of gravity decoherence conjectured by Diósi [Phys. Lett. A120, 377 (1987)] and Penrose [Gen. Rel. Grav. 28, 581 (1996)].

Item Type:Article
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Miao, Haixing0000-0003-2879-5821
Chen, Yanbei0000-0002-9730-9463
Additional Information:© 2010 American Physical Society. Received 22 May 2009; revised 20 October 2009; published 25 January 2010. We thank Farid Khalili and all the members of the AEI-Caltech-MIT MQM discussion group for very fruitful discussions.We thank K. S. Thorne for initiating this research project and V. B. Braginsky for important critical comments. H.M. would like to thank D. G. Blair, L. Ju, and C. Zhao for their keen support of his visit to AEI and Caltech. Research of Y.C., S.D., H.M.-E., and K.S. is supported by theAlexander vonHumboldt Foundation’s SofjaKovalevskaja Programme, as well as NSF Grant Nos. PHY-0653653 and PHY-0601459 and the David and Barbara Groce startup fund at Caltech. Research of H.R. is supported by the Deutsche Forschungsgemeinschaft through SFB No. 407. H.M. has been supported by the Australian Research Council and the Department of Education, Science and Training.
Funding AgencyGrant Number
Alexander von Humboldt FoundationUNSPECIFIED
David and Barbara Groce startup fund, CaltechUNSPECIFIED
Deutsche ForschungsgemeinschaftSFB No. 407
Australian Research CouncilUNSPECIFIED
Department of Education, Science and TrainingUNSPECIFIED
Issue or Number:1
Classification Code:PACS: 03.65.Ta, 42.50.Dv, 03.65.Ud, 04.80.Nn
Record Number:CaltechAUTHORS:20100217-111045765
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:17504
Deposited By: Jason Perez
Deposited On:17 Feb 2010 21:44
Last Modified:09 Mar 2020 13:19

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