Evolution of entanglement in collective excitations in linear atomic chains

Quantum simulation of small physically realizable systems (e.g. chains of precision placed dopant atoms in silicon) provides an opportunity to learn about many-body physics at larger scale. Electrons in 1-D atomic chains with a long range coulomb interaction support plasmonic excitations of various modes and occupations of these modes, as linear superpositions of single particle excitations. We examine the time evolution of entanglement following plasmonic excitation due to coupling between the atomic chain and dipole emitters. We compare the results for a wide range of interaction strength between the electrons, from non interacting to strongly coupled and for pumping various plasmonic modes.