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Quantum State Preparation of Spin Ensembles by Continuous Measurement and Feedback

van Handel, Ramon and Stockton, John K. and Mabuchi, Hideo and Wiseman, Howard M. (2007) Quantum State Preparation of Spin Ensembles by Continuous Measurement and Feedback. In: Quantum information with continuous variables of atoms and light. Imperial College Press , London, pp. 463-486. ISBN 978-1-86094-760-5.

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Beginning with a microscopic model for the interaction between atoms and the electromagnetic field, we describe how stochastic equations for the state of the atomic ensemble conditioned upon homodyne measurement of the field can be derived. We investigate the evolution of the stochastic state both in the short time scale, where a description in terms of continuous variables (spin quadratures) is possible, and in the longer time scale where this description breaks down. Next we discuss general principles of quantum feedback control, and apply them to quantum state preparation in the atomic ensemble. We consider three cases: producing spin-squeezed states, preparing Dicke states (the long-time limit), and producing twin-ensemble squeezing. Where appropriate, we emphasize relations with experiments.

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Additional Information:© 2007 Imperial College Press. The authors would like to thank Luc Bouten and JM Geremia for many fruitful discussions. This work was supported by the Australian Research Council, the ARO and the Caltech MURI Center for Quantum Networks. JKS acknowledges a Hertz fellowship. Some of this chapter was originally published (in extended form) in Ref. 64. These parts are reproduced here with permission of Institute of Physics Publishing Ltd.
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Australian Research CouncilUNSPECIFIED
Army Research Office (ARO)UNSPECIFIED
Fannie and John Hertz FoundationUNSPECIFIED
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:20671
Deposited By: Ruth Sustaita
Deposited On:04 Nov 2010 20:08
Last Modified:03 Oct 2019 02:13

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