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Macroscopic Quantum Mechanics in a Classical Spacetime

Yang, Huan and Miao, Haixing and Lee, Da-Shin and Helou, Bassam and Chen, Yanbei (2013) Macroscopic Quantum Mechanics in a Classical Spacetime. Physical Review Letters, 110 (17). Art. No. 170401. ISSN 0031-9007. doi:10.1103/PhysRevLett.110.170401.

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We apply the many-particle Schrödinger-Newton equation, which describes the coevolution of a many-particle quantum wave function and a classical space-time geometry, to macroscopic mechanical objects. By averaging over motions of the objects’ internal degrees of freedom, we obtain an effective Schrödinger-Newton equation for their centers of mass, which can be monitored and manipulated at quantum levels by state-of-the-art optomechanics experiments. For a single macroscopic object moving quantum mechanically within a harmonic potential well, its quantum uncertainty is found to evolve at a frequency different from its classical eigenfrequency—with a difference that depends on the internal structure of the object—and can be observable using current technology. For several objects, the Schrödinger-Newton equation predicts semiclassical motions just like Newtonian physics, yet quantum uncertainty cannot be transferred from one object to another.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Miao, Haixing0000-0003-2879-5821
Chen, Yanbei0000-0002-9730-9463
Additional Information:© 2013 American Physical Society. Received 9 October 2012; revised manuscript received 19 January 2013; published 22 April 2013. We thank R. X. Adhikari, M. Aspelmeyer, C.M. Caves, E. E. Flanagan, B. L. Hu, Y. Levin, H. Wiseman, and our colleagues in the LIGO MQM group for fruitful discussions. We thank W.W. Johnson for pointing us to literature on the Debye-Waller factor. We acknowledge funding provided by the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation. Y. C. thanks the Keck Institute for Space Studies for support. This work has also been supported by NSF Grants Nos. PHY-0555406, PHY-0956189, PHY-1068881, and NSC Grant No. 100-2112-M-259-001-MY3 as well as the David and Barbara Groce startup fund at Caltech.
Group:Institute for Quantum Information and Matter, Keck Institute for Space Studies
Funding AgencyGrant Number
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
NSF Physics Frontiers CenterUNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
Keck Institute for Space Studies (KISS)UNSPECIFIED
Caltech David and Barbara Groce FundUNSPECIFIED
Issue or Number:17
Classification Code:PACS: 03.65.Ta, 03.75.-b, 42.50.Pq
Record Number:CaltechAUTHORS:20130524-102529232
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Official Citation:Yang, H., H. Miao, et al. (2013). "Macroscopic Quantum Mechanics in a Classical Spacetime." Physical Review Letters 110(17): 170401.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:38665
Deposited By: Tony Diaz
Deposited On:31 May 2013 19:16
Last Modified:09 Nov 2021 23:39

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