In quantum physics, the squeeze operator for a single mode of the electromagnetic field is
where the operators inside the exponential are the ladder operators. Its action on the annihilation operator produces (for simplicity we use )
with and .
The squeeze operator is ubiquitous in quantum optics and can operate on any state. For example, when acting upon the vacuum, the squeezing operator produces the squeezed vacuum state.
The squeezing operator can also act on coherent states and produce squeezed coherent states. The squeezing operator does not commute with the displacement operator:
nor does it commute with the ladder operators, so one must pay close attention to how the operators are used.
Application of both operators above on the vacuum produces squeezed states:
- .
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Famous quotes containing the word squeeze:
“To minor authors is left the ornamentation of the commonplace: these do not bother about any reinventing of the world; they merely try to squeeze the best they can out of a given order of things, out of traditional patterns of fiction.”
—Vladimir Nabokov (1899–1977)