Thermalization of a Chiral Floquet Edge

Following the recent construction of chiral topological phases in 2D Floquet systems reliant on many-body localization (MBL) for stability, we examine the thermalization of a 1D MBL chiral edge. While the eigenstates of the 1D Floquet unitary are delocalized, the dynamics of thermalization separates into two regimes of entanglement entropy (EE) growth, linear and logarithmic. In the thermodynamic limit, thermalization occurs on a linear time scale and appears to depend on rare regions of the MBL Hamiltonian. We detail the mechanism by which edge thermalization occurs and probe this behavior via exact diagonalization for small system sizes over long time scales, and Time-evolving block decimation (TEBD) on a 1D MPS for larger system sizes at early times.