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dc.contributor.authorChantasri, Areeya
dc.contributor.authorJordan, Andrew N.
dc.date.accessioned2017-10-09T03:26:06Z
dc.date.available2017-10-09T03:26:06Z
dc.date.issued2015
dc.identifier.issn2469-9926
dc.identifier.doi10.1103/PhysRevA.92.032125
dc.identifier.urihttp://hdl.handle.net/10072/347935
dc.description.abstractWe generalize and extend the stochastic path-integral formalism and action principle for continuous quantum measurement introduced in Chantasri, Dressel, and Jordan [Phys. Rev. A 88, 042110 (2013)], where the optimal dynamics, such as the most likely paths, is obtained by extremizing the action of the stochastic path integral. In this work, we apply exact functional methods as well as develop a perturbative approach to investigate the statistical behavior of continuous quantum measurement. Examples are given for the qubit case. For qubit measurement with zero-qubit Hamiltonian, we find analytic solutions for average trajectories and their variances while conditioning on fixed initial and final states. For qubit measurement with unitary evolution, we use the perturbation method to compute expectation values, variances, and multi-time-correlation functions of qubit trajectories in the short-time regime. Moreover, we consider continuous qubit measurement with feedback control, using the action principle to investigate the global dynamics of its most likely paths, and finding that in an ideal case, qubit state stabilization at any desired pure state is possible with linear feedback. We also illustrate the power of the functional method by computing correlation functions for the qubit trajectories with a feedback loop to stabilize the qubit Rabi frequency.
dc.description.peerreviewedYes
dc.languageEnglish
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.relation.ispartofpagefrom032125-1
dc.relation.ispartofpageto032125-22
dc.relation.ispartofissue3
dc.relation.ispartofjournalPhysical Review A
dc.relation.ispartofvolume92
dc.subject.fieldofresearchQuantum Physics not elsewhere classified
dc.subject.fieldofresearchcode020699
dc.titleStochastic path-integral formalism for continuous quantum measurement
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
dc.description.versionAccepted Manuscript (AM)
gro.rights.copyright© 2015 American Physical Society. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
gro.hasfulltextFull Text
gro.griffith.authorChantasri, Areeya


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