arXivDaily arXiv每日学术速递 周一至周五更新
arXiv quant-ph/9903068quant-phnucl-th
收藏

关于“对我们的论文”非谐振子阱中的单个二能级离子：Q函数和population inversion的时间演化“的评论”的答复

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

S. Shelly Sharma, N. K. Sharma, Larry Zamick

备注：
Revtex, 4pages. To be Published in Physical Review A59, NO.4(April 99)
发表信息：
Phys.Rev.A59:3138-3140,1999
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

我们在这里表明，在我们的论文中使用的模型哈密顿离子振动的q模拟谐振子陷阱和经典的单模光场的相互作用，确实是通过取代通常的玻色子创建和湮灭运营商的谐振子陷阱模型的q变形对应。本文所作的近似相当于在q模拟谐振子阱中的离子-激光相互作用中使用算符$F_{q}=exp{-(|ε|^2}/2)}exp{iεA^{\dagger}}exp{iεA}$，它类似于谐振子阱中离子的相应算符$F=exp{-(|ε|^2 /2)}exp{iεa^{\dagger }}exp{iεa}$。在我们的文章中，我们并不声称已经对角化了算符$F_q = exp{i ε(A^{\dagger}+A)}$，因为它的基态是|g，m>和|e，m>不是解析向量。

英文摘要：

We 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.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

↑