Statistics-tuned entanglement of the boundary modes in coupled Su-Schrieffer-Heeger chains

We show that mutual statistics between quantum particles can be tuned to generate emergent novel few-particle quantum mechanics for the boundary modes of symmetry-protected topological phases of matter. As a concrete setting, we study a system of pseudofermions, defined as quantum particles with tunable algebra, which lie on two distinct Su-Schrieffer-Heeger (SSH) chains. We find that as the mutual statistics of the particles are tuned---the...