Squeezing and displacement

Displacement and squeezing are two fundamental transformations of the quantum state of a single optical mode. Together with the time evolution operator they generate all possible linear transformations of the creation and annihilation operator preserving the canonical commutation relation, and consequently, e.g., the Gaussian shape of wavefunction and Wigner function and the product of uncertainties in its main axes. In this demo you can explore two measures of nonclassicality, the mandel Q parameter and the squeezing parameter S_θ.

Apply an operator:

Tips for trying:

• Displacements and time evolution alone cannot create any nonclassical features (starting from the vacuum state). With the measures of nonclassicality shown, is any squeezed state nonclassical or can some combination of transformations mask this?
• What properties do squeezed vacuum, phase- and amplitude-squeezed states have?
• Choose some combination of operators and try to reach the same result applying them in the other order. Did you need equal α, ζ, t, or different?

See also

• Source code
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