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This work contributes to the study of non-equilibrium aspects of the Casimirforces with the introduction of squeezed states in the calculations. Throughoutthis article two main results can be found, being both strongly correlated.Primarily, the more formal result involves the development of afirst-principles canonical quantization formalism to study the vacuum inpresence different dissipative bodies in completely general scenarios. Weconsidered a one-dimensional quantum scalar field interacting with the volumeelements' degrees of freedom of the material bodies, which are modeled ascomposite systems consisting in a harmonic oscillators interacting with anenvironment. Solving the full dynamics of the composite system through itsHeisenberg equations, we studied each contribution to the field operator byemploying general properties of the Green function. We deduced the long-timelimit of the field operator. In agreement with previous works, we showed thatthe expectation values of the components of the energy-momentum tensor presenttwo contributions, one associated to the thermal baths and the other oneassociated to the field's initial conditions. This allows us to the directstudy of steady situations involving different initial states for the field andarbitrary thermal states for the baths. This leads to the other main result,consisting in computing the Casimir force when the field is initially inthermal or continuum-single-mode squeezed states (characterized by a givenbandwidth and frequency). Time-averaging is required for the squeezed case,showing both results in a unified way. For the thermal state, all thewell-known equilibrium results can be successfully reproduced. Finally, wecompared the initial conditions' contribution and the total force for eachcase, showing that the latter can be tuned in a wide range of values throughvarying the size of the bandwidth.

Quantum Vacuum Fluctuations in Presence of Dissipative Bodies: Dynamical Approach for Non-Equilibrium and Squeezed States