Scar states in a system of interacting chiral fermions
I. Martin, K. A. Matveev

TL;DR
This paper investigates the eigenstates of interacting chiral fermions on a ring, revealing coexistence of fermionic and bosonic states and persistent density oscillations across interaction regimes.
Contribution
It uncovers the coexistence of fermionic and bosonic eigenstates and shows bosonic states persist at various interaction strengths, affecting system dynamics.
Findings
Coexistence of fermionic and bosonic eigenstates in the spectrum
Bosonic eigenstates persist beyond strong interactions
Persistent density oscillations occur despite non-integrability
Abstract
We study the nature of many-body eigenstates of a system of interacting chiral spinless fermions on a ring. We find a coexistence of fermionic and bosonic types of eigenstates in parts of the many-body spectrum. Some bosonic eigenstates, native to the strong interaction limit, persist at intermediate and weak couplings, enabling persistent density oscillations in the system, despite it being far from integrability.
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