翻訳と辞書 Words near each other ・ Lambda calculus definition ・ Lambda Cancri ・ Lambda Canis Majoris ・ Lambda Capricorni ・ Lambda Cassiopeiae ・ Lambda Centauri ・ Lambda Cephei ・ Lambda Ceti ・ Lambda Chamaeleontis ・ Lambda Chi Alpha ・ Lambda Chi Mu ・ Lambda Chi Site, RI-704 ・ Lambda Columbae ・ Lambda Coronae Australis ・ Lamb Creek, Idaho ・ Lamb Dicke regime ・ Lamb fries ・ Lamb Holm ・ LAMB Hospital, Bangladesh ・ Lamb Hotel, Eccles ・ Lamb Hotel, Nantwich ・ Lamb House ・ Lamb House (disambiguation) ・ Lamb House, Kangaroo Point ・ Lamb in His Bosom ・ Lamb Island (film) ・ Lamb Island Pioneer Hall ・ Lamb Island, Queensland ・ Lamb Lake ・ Lamb Leer Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Lamb Dicke regime ： ウィキペディア英語版 Lamb Dicke regime In ion trapping experiments, the Lamb Dicke regime (or Lamb Dicke limit) is a quantum regime in which the coupling (induced by an external light field) between the ion's internal qubit's states and its motional states is sufficiently small so that transitions that change the motional quantum number by more than one, are strongly suppressed. This condition is quantitively expressed by the inequality :$$ \eta^2 (2n+1) \ll 1, where $\backslash eta$ is the Lamb-Dicke parameter and $n$ is the motional quantum number of the ion's harmonic oscillator state. == Relation between Lamb Dicke parameter and Lamb Dicke regime == Considering the ion's motion along the direction of the static trapping potential of an ion trap (the axial motion in $z$-direction), the trap potential can be validly approximated as quadratic around the equilibrium position and the ion's motion locally be considered as that of a quantum harmonic oscillator with quantum harmonic oscillator eigenstates $|n\backslash rangle$. In this case the position operator $\backslash hat$ is given by :$$ \hat = z_0 (\hat + \hat^\dagger). where :$z\_0\; =\; (\backslash langle\; 0\backslash vert\; z^2\; \backslash vert\; 0\backslash rangle)^\}\; =\; (\backslash hbar/2m\backslash omega\_z)^\}$ is the spread of the zero-point wavefunction, $\backslash omega\_z$ is the frequency of the static harmonic trapping potential in $z$-direction and $\backslash hat,\backslash hat^\backslash dagger$ are the ladder operators of the harmonic oscillator. The Lamb Dicke regime corresponds to the condition :$$ \langle\Psi_\vert ^2 z^2 \vert \Psi_ \rangle^ \ll 1 where $\backslash langle\backslash Psi\_\backslash vert$ is the motional part of the ion's wavefunction and $k\_z\; =\; \backslash mathbf\backslash cdot\; \backslash hat\; =\; |\backslash mathbf|\backslash cos\backslash theta\; =\; \backslash cos\backslash theta\; (\backslash frac)$ is the projection of the wavevector of the light field acting on the ion on the $z$-direction. The Lamb-Dicke parameter actually is defined as :$$ \eta = k_z z_0. Upon absorption or emission of a photon with momentum $\backslash hbar\; k\_z$ the kinetic energy of the ion is changed by the amount of the recoil energy $E\_R\; =\; \backslash hbar\; \backslash omega\_R$ where the definition of the recoil frequency is :$$ \omega_R = \frac. The square of the Lamb Dicke parameter then is given by :$$ \eta^2 = \frac = \frac}. Hence the Lamb Dicke parameter $\backslash eta$ quantifies the coupling strength between internal states and motional states of an ion. If the Lamb Dicke parameter is much smaller than one, the quantized energy spacing of the harmonic oscillator is larger than the recoil energy and transitions changing the motional state of the ion are negligible. The Lamb Dicke parameter being small is a necessary, but not a sufficient condition for the Lamb Dicke regime. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Lamb Dicke regime」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.