qit.ho.squeeze

qit.ho.squeeze(z, n=30)

Bosonic squeezing operator.

Parameters

• z (complex) – squeezing parameter

• n (int) – truncation dimension

Returns

squeezing operator

Return type

array[complex]

Returns the n-dimensional approximation for the bosonic phase space squeezing operator

$$S(z):=\exp (\frac{1}{2}(z^{\ast }{a}^2-z{a}^{†2}))=\exp \left(\frac{i}{2}((QP+PQ)\mathrm{Re}z+(P^2-Q^2)\mathrm{Im}z)\right)$$

in the number basis.