Two-particle coined-quantum walk with long-range interaction

Abstract

We present and study a two-particle quantum walk on the line in which the two particles interact via a long-range Coulombian-like interaction. We obtain the spectrum of the system as well as study the type of molecules that form, attending to the bosonic or fermionic nature of the walkers. The usual loss of distinction between attractive and repulsive forces does not entirely apply in our model because of the long-range of the interaction.

Diverse tunable dynamics of two quantum random walkers

“…We have considered here only 1 and π-phase interactions. An interesting extension of the present work would be to consider other types of possible two-particle interactions such as long range interactions [41]. Our work will form a base for understanding such results by comparing and contrasting those results with the results presented here.…”

Correlations in few two-component quantum walkers on a tilted lattice

“…This prediction was awaiting for experimental confirmation over 60 years and was first demonstrated for electrons moving in a semiconductor superlattice [27]. The role of inter-particle interactions between indistinguishable walkers in the tilted lattice has been deeply explored in the literature [28][29][30][31][32][33][34][35][36][37][38]. However, some questions still remain open and appropriate analysis is required.…”