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Steady state of a laser-cooled trapped ion in the Lamb-Dicke limit

M Lindberg

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The author formulates the problem of the steady state for a laser-cooled trapped ion using a generalisation of the method of moments. The problem is solved using a perturbation expansion and he obtains a steady-state solution which is exact in the Lamb-Dicke limit. The stead-state energy is compared with earlier results. The populations of the occupation number eigenstates of the harmonic trap are also obtained.


PACS

37.10.De Atom cooling methods

31.15.-p Calculations and mathematical techniques in atomic and molecular physics

Subjects

Atomic and molecular physics

Computational physics

Dates

Issue 10 (28 May 1984)



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