找到了双模场中Susskind-Glogower相算符eiφ态矢|(S),q〉的对偶本征矢|(S),q〉*,运用围道积分证明了|(S),q〉*是e-iφ和光子数差算符的共同本征矢.研究了|(S),q〉*的性质,结果是|(S),q〉*及其对偶〈(S),q |构成围道积分形式的完备性,给出了双模场的相态表象.
We find that there exist dual eigenvectors ｜(S), q〉* of the phase state-vectors ｜(S), q〉of the two-mode Susskind-Glogower phase operator eiφ. By contour integration we show that ｜(S), q〉* is the common eigenvector of e-iφ and the photon number difference operator. The properties of ｜(S),q〉* are studied, it turns out that ｜(S),q〉* and ｜(S),q〉 can compose a completeness relation in contour integration form. A phase state representation for two-mode field is thus presented.
参考文献
| [1] | See e.g.,Loudon R.The Quantum Theory of Light[M].Oxford:Oxford University Press,1973. |
| [2] | Fan Hongyi,Zaidi H R.An exact calculation of the expectation values of phase operators in squeezed states[J].Opt.Commun.,1988,68:143. |
| [3] | Agarwal G S.Eigenstates of the phase operator a la Dirac for a two-mode field[J].Opt.Commun.,1993,100:479. |
| [4] | Fan Hongyi,et al.Does the creation operator a+ possess eigenvectors[J].Commun.Theor.Phys.,1984,3:175. |
| [5] | Fan Hongyi.On the common eigenvectors of two-mode creation operators and the charge operator[J].Mod.Phys.Lett.A,1994,9:1291. |
| [6] | Fan Hongyi.Complex prepresentation of the density matrix obtained via creation operator eigenvectors[J].Phys.Lett.A,1996,219:175. |
| [7] | Fan Hongyi,Wunsche A.Eigenstates of boson creation operator[J].Eur.Phys.J.D,2001,15:405-412. |
| [8] | Fan Hongyi,et al.Dual eigenkets of the Susskind-Glogower phase operator[J].Phys.Rev.A,1996,54:5295. |
| [9] | Heitler W.The Quantum Theory of Radiation[M].3rd ed.Oxford:London:Claredon Press,1954. |
上一张
下一张
上一张
下一张
计量
- 下载量()
- 访问量()
文章评分
- 您的评分：
-
10%
-
20%
-
30%
-
40%
-
50%