Single-mode photon number measurement for the squeezed two-mode number state  

作　　者：许雪芬 朱士群 

机构地区：[1]School of Physical Science and Technology, Suzhou University [2]School of Mathematics and Physics, Jiangsu Teachers University of Technology

出　　处：《Chinese Physics B》2009年第4期1512-1516,共5页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant No 10774108)

摘　　要：Based on the fact that a two-mode squeezed number state is a two-variable Hermite polynomial excitation of the two-mode squeezed vacuum state, the result of one-mode l-photon measurement for the two-mode squeezed number state S2｜m, n） is discussed. It is found that a remaining field-mode simultaneously collapses into a number state ｜n - m＋l｜ with the coefficient being a Jacobi polynomial of n, m and l, which manifestly exhibits the entanglement between the two modes, i.e. it depends on the number-difference between the two modes. The second mode collapses into an excited coherent state when the first mode is measured as a coherent state.Based on the fact that a two-mode squeezed number state is a two-variable Hermite polynomial excitation of the two-mode squeezed vacuum state, the result of one-mode l-photon measurement for the two-mode squeezed number state S2｜m, n） is discussed. It is found that a remaining field-mode simultaneously collapses into a number state ｜n - m＋l｜ with the coefficient being a Jacobi polynomial of n, m and l, which manifestly exhibits the entanglement between the two modes, i.e. it depends on the number-difference between the two modes. The second mode collapses into an excited coherent state when the first mode is measured as a coherent state.

关 键 词：photon number measurement two-mode squeezed number state quantum entanglement 

分 类 号：O431.2[机械工程—光学工程] O431[理学—光学]