Reply on `comment on our paper `Single two-level ion in an anharmonic-oscillator trap: Time evolution of the Q function and population inversion ''

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dc.creatorSharma, S. Shelly
dc.creatorSharma, N. K.
dc.creatorZamick, Larry
dc.date1999-03-19
dc.date.accessioned2026-07-07T12:17:09Z
dc.date.available2026-07-07T12:17:09Z
dc.descriptionWe show here that the model Hamiltonian used in our paper for ion vibrating in a q-analog harmonic oscillator trap and interacting with a classical single-mode light field is indeed obtained by replacing the usual bosonic creation and annihilation operators of the harmonic trap model by their q-deformed counterparts. The approximations made in our paper amount to using for the ion-laser interaction in a q-analog harmonic oscillator trap, the operator $F_{q}=exp{-(|ε|^2}/2)}exp{iεA^{\dagger}}exp{iεA}$, which is analogous to the corresponding operator for ion in a harmonic oscillator trap that is $F=exp{-(|ε|^2 /2)}exp{iεa^{\dagger }}exp{iεa}$. In our article we do not claim to have diagonalized the operator, $F_q = exp{i ε(A^{\dagger}+A)}$, for which the basis states |g,m> and |e,m> are not analytic vectors.
dc.descriptionRevtex, 4pages. To be Published in Physical Review A59, NO.4(April 99)
dc.identifierhttps://arxiv.org/abs/quant-ph/9903068
dc.identifierhttp://arxiv.org/abs/quant-ph/9903068
dc.identifierPhys.Rev.A59:3138-3140,1999
dc.identifierdoi:10.1103/PhysRevA.59.3138
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212028
dc.subjectQuantum Physics
dc.subjectNuclear Theory
dc.titleReply on `comment on our paper `Single two-level ion in an anharmonic-oscillator trap: Time evolution of the Q function and population inversion ''
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