Weak breakdown of bulk-boundary correspondence in a symmetry-protected topological phase out-of-equilibrium
Thomas L. M. LaneMikl\'os Horv\'athKristian Patrick
Thomas L. M. LaneMikl\'os Horv\'athKristian Patrick
Nov 2023
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摘要原文
Time evolution of topological systems is an active area of interest due to their expected uses in fault tolerant quantum computing. Here, we analyze the dynamics of a non-interacting spinless fermion chain in its topological phase, when the system is quenched out-of-equilibrium by a Hamiltonian belonging to the same symmetry class. Due to the presence of particle-hole symmetry, we find that the bulk properties of the system remain intact throughout the evolution. However, the boundary properties may be drastically altered, where we see delocalization of initially localized Majorana edge modes. The presence of local static disorder can be utilized to preserve exponential localization, yet we still identify non-trivial dynamics in the Majorana polarization and Loschmidt echo. We find that, due to delocalization, the entanglement spectrum is no longer a good indicator of the bulk topological phase, as the system remains non-trivial while degeneracies in the many-body entanglement spectrum are lost.
