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Nonadiabatic elimination of auxiliary modes in continuous quantum measurements

Yang, Huan and Miao, Haixing and Chen, Yanbei (2012) Nonadiabatic elimination of auxiliary modes in continuous quantum measurements. Physical Review A, 85 (4). Art. No. 040101. ISSN 1050-2947. http://resolver.caltech.edu/CaltechAUTHORS:20120516-130749358

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Abstract

In quantum measurement or control processes, there are often auxiliary modes coupling to the quantum system that we are interested in—they together form a bath or an environment for the system. The bath can have finite memory (non-Markovian), and simply ignoring its dynamics (i.e., adiabatically eliminating it) will prevent us from predicting the true quantum behavior of the system. We generalize the technique introduced by Strunz et al. [Phys. Rev. Lett. 82 1801 (1999)], and develop a formalism that allows us to eliminate the bath nonadiabatically in continuous quantum measurements, and obtain a non-Markovian stochastic master equation for the system that we focus on. This formalism also illuminates how to design the bath—acting as a quantum filter—to effectively probe interesting system observables (e.g., the quantum-nondemolition observable).


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevA.85.040101 DOIUNSPECIFIED
http://link.aps.org/doi/10.1103/PhysRevA.85.040101PublisherUNSPECIFIED
Additional Information:© 2012 American Physical Society. Received 1 September 2011; published 19 April 2012. We thank B. L. Hu and T. Yu for introducing us to this research direction and further discussions on technical details. We thank S. L. Danilishin and F. Ya. Kahlili for fruitful discussions. This work is supported by NSF Grants No. PHY-0555406, No. PHY-0653653, No. PHY-0601459, No. PHY-0956189, and No. PHY-1068881, as well as the David and Barbara Groce startup fund at Caltech.
Group:TAPIR
Funders:
Funding AgencyGrant Number
NSFPHY-0555406
NSFPHY-0653653
NSFPHY-0601459
NSFPHY-0956189
NSFPHY-1068881
Caltech David and Barbara Groce Startup FundUNSPECIFIED
Classification Code:PACS: 03.65.Ta, 03.65.Sq, 05.40.-a, 42.50.Lc
Record Number:CaltechAUTHORS:20120516-130749358
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20120516-130749358
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:31505
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:22 May 2012 16:44
Last Modified:26 Dec 2012 15:13

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