Single-mode photon number measurement for the squeezed two-mode number state |
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| Authors: | Xu Xue-Fen and Zhu Shi-Qun |
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| Affiliation: | School of Physical Science and Technology, Suzhou University, Suzhou 215006, China; School of Mathematics and Physics, Jiangsu Teachers University of Technology, Changzhou 213001, China |
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| Abstract: | 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. |
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| Keywords: | photon number measurement two-mode squeezed number state quantum entanglement |
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