Single-mode photon number measurement for the squeezed two-mode number state
Xu Xue-Fen(许雪芬)a)b) and Zhu Shi-Qun(朱士群)a)†
a School of Physical Science and Technology, Suzhou University, Suzhou 215006, China; b School of Mathematics and Physics, Jiangsu Teachers University of Technology, Changzhou 213001, China
AbstractBased 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 $S_2|m,n\rangle$ is discussed. It is found that a remaining field-mode simultaneously collapses into a number state $|n-m+l\rangle$ 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.
Received: 10 December 2008
Revised: 20 January 2009
Accepted manuscript online:
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