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Continuous measurement feedback control of a Bose-Einstein condensate using phase-contrast imaging

Szigeti, Stuart; Hush, Michael; Carvalho, Andre; Hope, Joseph

Description

We consider the theory of feedback control of a Bose-Einstein condensate (BEC) confined in a harmonic trap under a continuous measurement constructed via nondestructive imaging. A filtering theory approach is used to derive a stochastic master equation (SME) for the system from a general Hamiltonian based upon system-bath coupling. Numerical solutions for this SME in the limit of a single atom show that the final steady-state energy is dependent upon the measurement strength, the ratio of...[Show more]

dc.contributor.authorSzigeti, Stuart
dc.contributor.authorHush, Michael
dc.contributor.authorCarvalho, Andre
dc.contributor.authorHope, Joseph
dc.date.accessioned2015-12-07T22:18:41Z
dc.identifier.issn1050-2947
dc.identifier.urihttp://hdl.handle.net/1885/18931
dc.description.abstractWe consider the theory of feedback control of a Bose-Einstein condensate (BEC) confined in a harmonic trap under a continuous measurement constructed via nondestructive imaging. A filtering theory approach is used to derive a stochastic master equation (SME) for the system from a general Hamiltonian based upon system-bath coupling. Numerical solutions for this SME in the limit of a single atom show that the final steady-state energy is dependent upon the measurement strength, the ratio of photon kinetic energy to atomic kinetic energy, and the feedback strength. Simulations indicate that for a weak measurement strength, feedback can be used to overcome heating introduced by the scattering of light, thereby allowing the atom to be driven toward the ground state.
dc.publisherAmerican Physical Society
dc.sourcePhysical Review A: Atomic, Molecular and Optical Physics
dc.subjectKeywords: Atomic kinetics; Bose-Einstein condensates; Continuous measurements; Feedback strength; Filtering theory; Harmonic trap; Nondestructive imaging; Numerical solution; Phase-contrast imaging; Single atoms; Steady-state energies; Stochastic master equations;
dc.titleContinuous measurement feedback control of a Bose-Einstein condensate using phase-contrast imaging
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume80
dc.date.issued2009
local.identifier.absfor020601 - Degenerate Quantum Gases and Atom Optics
local.identifier.absfor020604 - Quantum Optics
local.identifier.ariespublicationu4296190xPUB6
local.type.statusPublished Version
local.contributor.affiliationSzigeti, Stuart, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationHush, Michael, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationCarvalho, Andre, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationHope, Joseph, College of Physical and Mathematical Sciences, ANU
local.bibliographicCitation.startpage013614
local.identifier.doi10.1103/PhysRevA.80.013614
dc.date.updated2016-02-24T10:53:53Z
local.identifier.scopusID2-s2.0-68849115457
local.identifier.thomsonID000268616900147
CollectionsANU Research Publications

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