  Squeezing is essential to many quantum technologies and our understanding of
quantum physics. Here we develop a theory of steady-state squeezing that can be
generated in the closed and open quantum Rabi as well as Dicke model. To this
end, we eliminate the spin dynamics which effectively leads to an abstract
harmonic oscillator whose eigenstates are squeezed with respect to the physical
harmonic oscillator. The generated form of squeezing has the unique property of
time-independent uncertainties and squeezed dynamics, a novel type of quantum
behavior. Such squeezing might find applications in continuous back-action
evading measurements and should already be observable in optomechanical systems
and Coulomb crystals.
