  Fluctuation-induced forces occur generically when long-ranged correlations
(e.g., in fluids) are confined by external bodies. In classical systems, such
correlations require specific conditions, e.g., a medium close to a critical
point. On the other hand, long-ranged correlations appear more commonly in
certain non-equilibrium systems with conservation laws. Consequently, a variety
of non-equilibrium fluctuation phenomena, including fluctuation-induced forces,
have been discovered and explored recently. Here, we address a long-standing
problem of non-equilibrium critical Casimir forces emerging after a quench to
the critical point in a confined fluid with order-parameter-conserving dynamics
and non-symmetry-breaking boundary conditions. The interplay of inherent
(critical) fluctuations and dynamical non-local effects (due to density
conservation) gives rise to striking features, including correlation functions
and forces exhibiting oscillatory time-dependences. Complex transient regimes
arise, depending on initial conditions and the geometry of the confinement. Our
findings pave the way for exploring a wealth of non-equilibrium processes in
critical fluids (e.g., fluctuation-mediated self-assembly or aggregation). In
certain regimes, our results are applicable to active matter.
