Simulation of plasmonic behaviors in extended Hubbard model using tensor networks

We simulate the collective plasmonic behaviors in fermionic systems using an extended Hubbard model and utilizing various tensor network techniques to overcome the severe scaling limitation of exact diagonalization in such systems. By coupling the system with quantum emitters through dipole interactions and beyond, we observe the dynamical flow of quantum information through the system. We measure the quality of these collective excitations using metrics such as the Generalized Plasmonicity Index. Furthermore, we explore the transport dynamics in these systems while they are coupled to source and drain leads. By utilizing a mixed-basis quantum reservoir approach, we ameliorate the rapid growth of entanglement in time evolution simulations. This allows us to extend the feasibility of tensor networks techniques for simulations to longer time scales.