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Laser cooling of trapped ions: the influence of micromotion

dc.contributor.authorCirac, J. I.
dc.contributor.authorGaray Elizondo, Luis Javier
dc.contributor.authorBlatt, L.
dc.contributor.authorParkins, A. S.
dc.contributor.authorZoller, P.
dc.date.accessioned2023-06-20T20:06:15Z
dc.date.available2023-06-20T20:06:15Z
dc.date.issued1994-01
dc.description© 1994 The American Physical Society. J.I.C. and R.B. acknowledge travel support from NATO. R B. is supported in part by the Deutsche Forschungsgemeinschaft. L.3.G. is supported in part by DGCYT under Contract No. PB-0052 and by a Basque Country Grant. He also thanks the Instituto de Optica, CSIC, for its hospitality. The work at JILA is supported in part by the National Science Foundation. The ESA IUE Observatory is affiliated with the Astrophysics Division, Space Science Department, ESTEC.
dc.description.abstractLaser cooling of a single trapped ion in a Paul trap is discussed theoretically in the Lamb-Dicke limit, with full consideration of the time dependence of the trapping potential. Resulting mean kinetic energies are defined as time averages over one period of the micromotion and are compared with final temperatures expected from the laser cooling treatment with harmonic traps. For laser-atom detunings close to the micromotion frequency the results differ significantly from those expected for a harmonic trap potential. A physical interpretation is given and simple formulas are derived for the strong confinement case.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipDGCYT
dc.description.sponsorshipBasque Country
dc.description.sponsorshipNATO
dc.description.sponsorshipDeutsche Forschungsgemeinschaft
dc.description.sponsorshipNational Science Foundation
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/30098
dc.identifier.doi10.1103/PhysRevA.49.421
dc.identifier.issn1050-2947
dc.identifier.officialurlhttp://dx.doi.org/10.1103/PhysRevA.49.421
dc.identifier.relatedurlhttp://journals.aps.org
dc.identifier.urihttps://hdl.handle.net/20.500.14352/59557
dc.issue.number1
dc.journal.titlePhysical review A
dc.language.isoeng
dc.page.final432
dc.page.initial421
dc.publisherAmerican Physical Society
dc.relation.projectIDPB-0052
dc.rights.accessRightsopen access
dc.subject.cdu51-73
dc.subject.keywordSpectroscopy
dc.subject.keywordMotion
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.ucmFísica matemática
dc.titleLaser cooling of trapped ions: the influence of micromotion
dc.typejournal article
dc.volume.number49
dcterms.references[1] D. J. Wineland, W. M. Itano, and R. S. VanDyck, Jr., Adv. At. Mol. Phys. 19, 135 (1983). [2] See, e.g., J. Mod. Opt. 39, 192 (1992). [3] P. E. Toschek, in 1Veu Trends in Atomic Physics Vol. I, Proceedings of the Les Houches Summer School, Session XVIII, edited by G. Grynberg and R. Stora (NorthHolland, Amsterdam, 1984), p. 381. [4) R. Blatt, in Fundamental Systems in quantum Optics, Proceedings of the Les Houches Summer School, Session LIII, edited by 3. Dalibard, 3. M. Raymond, and J. ZinnJustin (North-Holland, Amsterdam, 1993) p. 253. [5] D. J. Wineland and W. M. Itano, Phys. Rev. A 20, 1521 (1979); W. M. Itano and D. J. Wineland, ibid. 25, 35 (1982). [6] S. Stenholm, Rev. Mod. Phys. 58, 699 (1986). [7] M. Lindberg and S. Stenholm, J. Phys. (1985). [8] M. Lindberg and J. Javanainen, J. Opt. Soc Am. B 3, 1008 (1986). [9] Th. Sauter, R. Blatt, W. Neuhauser, and P. E. Toschek, Phys Scr .T22, 216 (1988). [10] J.I. Cirac, R. Blatt, P. Zoller, and W. D. Phillips, Phys. Rev. A 48, 2668 (1992). [11]R. Blatt, P. Zoller, G. Holzmuller, and I. Siemers, Z. Phys. D 4, 121 (1986). [12] E. Fischer, Z. Phys. 156, 1 (1959). [13] The form of the coefBcients c2„ for the Mathieu equation in some limiting cases, as well as some properties of this equation, can be found, for example, in M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1964). Note that in order to fix these coeKcients we have chosen c_o=1. [14]R. 3. Glanber, in Foundations of Quantum Mechanics, edited by T. D. Black, M. M. Nieto, H. S. Pilloff, M. O. Scnlly, and R. M. Sinclair (World Scientific, Singapore, 1992), p. 23. [15] D. J. Wineland, W. M. Itano, J. C. Bergquist, and R. G. Hulet, Phys. Rev. A 36, 2220 (1987). [16] R. J. Cook, D. G. Shankland, and A. L. Wells, Phys. Rev. A 31, 564 (1985).
dspace.entity.typePublication
relation.isAuthorOfPublication5638c18d-1c35-40d2-8b77-eb558c27585e
relation.isAuthorOfPublication.latestForDiscovery5638c18d-1c35-40d2-8b77-eb558c27585e

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