Circuit Complexity in Z2 EEFT

Motivated by recent studies of circuit complexity in weakly interacting scalar field theory, we explore the computation Z2 Even Effective Field Theories (Z2 EEFTs). We consider a massive free theory with higher-order Wilsonian operators such as ϕ4, ϕ6, and ϕ8. To facilitate our computation, regularize putting it on lattice. First, simple case two oscillators later generalize results to N oscillators. This study was carried out for nearly Gaussian states. In reference state is an approximately unentangled state, corresponding target calculated from entangled state. compute using geometric approach developed Nielsen, parameterizing path-ordered unitary transformation minimizing geodesic space unitaries. The contribution discussed. also dependency other parameters various cases.