A bulk-boundary correspondence for dynamical phase transitions in one-dimensional topological insulators and superconductors
Statistical Mechanics
2018-02-21 v1 Quantum Gases
Strongly Correlated Electrons
Quantum Physics
Abstract
We study the Loschmidt echo for quenches in open one-dimensional lattice models with symmetry protected topological phases. For quenches where dynamical quantum phase transitions do occur we find that cusps in the bulk return rate at critical times tc are associated with sudden changes in the boundary contribution. For our main example, the Su-Schrieffer-Heeger model, we show that these sudden changes are related to the periodical appearance of two eigenvalues close to zero in the dynamical Loschmidt matrix. We demonstrate, furthermore, that the structure of the Loschmidt spectrum is linked to the periodic creation of long-range entanglement between the edges of the system.
Keywords
Cite
@article{arxiv.1712.03618,
title = {A bulk-boundary correspondence for dynamical phase transitions in one-dimensional topological insulators and superconductors},
author = {N. Sedlmayr and P. Jäger and M. Maiti and J. Sirker},
journal= {arXiv preprint arXiv:1712.03618},
year = {2018}
}