  In this work, we explore the effects of a quantum quench on the circuit
complexity for a quenched quantum field theory having weakly coupled quartic
interaction. We use the invariant operator method, under a perturbative
framework, for computing the ground state of this system}. We give the
analytical expressions for specific reference and target states using the
ground state of the system. Using a particular cost functional, we show the
analytical computation of circuit complexity for the quenched and interacting
field theory. Further, we give a numerical estimate of circuit complexity with
respect to the quench rate, $\delta t$ for two coupled oscillators. The
parametric variation of the unambiguous contribution of the circuit complexity
for an arbitrary number of oscillators has been studied with respect to the
dimensionless parameter $(t/\delta t$). We comment on the variation of circuit
complexity for different values of coupling strength, different number of
oscillators, and even in different dimensions.
