Resonant invisibility with finite range interacting fermions

TL;DR

This paper investigates how finite-range interactions affect eigenstates of two opposite spin fermions in a 1D lattice, revealing antiresonances that eliminate certain interactions under specific conditions.

Contribution

It introduces the concept of antiresonances in symmetric eigenstates, showing how they suppress interactions based on a new selection rule.

Findings

Antiresonances occur for symmetric eigenstates.

Interaction between symmetric Fock states can be eliminated.

Selection rules determine when antiresonances happen.

Abstract

We study the eigenstates of two opposite spin fermions on a one-dimensional lattice with finite range interaction. The eigenstates are projected onto the set of Fock eigenstates of the noninteracting case. We find antiresonances for symmetric eigenstates, which eliminate the interaction between two symmetric Fock states when satisfying a corresponding selection rule.