Is a squeezed state keeping as a squeezed state in its evolution?

[wdlang]

we well know that, a coherent state keeps to be a coherent state in its evolution

does similar conclusion hold for a squeezed state?

 

[wdlang]

the answer is YES!

i have make out of it

 

[comote]

Doesn't a coherent state stays coherent under the evolution of a Hamiltonian that is at most quadratic in Position and momentum. If I am thinking correctly, if a non-quadratic appears in the Hamiltonian the coherent form of the state is no longer valid under time evolution.

I am pretty sure the same thing is true for squeezed states as well.