Superposition of Squeezed States
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Date
2010-06
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Addis Ababa University
Abstract
We discuss the statistical and squeezing properties of squeezed coherent state, squeezed
vacuum state and displaced squeezed vacuum state. We also study the quantum properties
of the superposition of squeezed coherent and squeezed vacuum states as well as the
superposition of displaced squeezed vacuum and squeezed vacuum states.
It so turns out that the mean photon number of the superposed state is the sum of
the mean photon number of the separate squeezed states. In addition, we note that the
superposition of a coherent state and a squeezed vacuum state is the displaced squeezed
vacuum state.
Furthermore, the superposition leads to a two-fold increase in the degree of squeezing.
Unlike the individual squeezed states, the squeezing occurs for 0 < r < 1/2
ln 2
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Keywords
Superposition