@article{ISI:000338282800001,
 abstract = {We study the nonequilibrium dynamics of quenching through a quantum
critical point in topological systems, focusing on one of their defining
features: ground-state degeneracies and associated topological sectors.
We present the notion of ``topological blocking,″ experienced by the
dynamics due to a mismatch in degeneracies between two phases, and we
argue that the dynamic evolution of the quench depends strongly on the
topological sector being probed. We demonstrate this interplay between
quench and topology in models stemming from two extensively studied
systems, the transverse Ising chain and the Kitaev honeycomb model.
Through nonlocal maps of each of these systems, we effectively study
spinless fermionic p-wave paired topological superconductors. Confining
the systems to ring and toroidal geometries, respectively, enables us to
cleanly address degeneracies, subtle issues of fermion occupation and
parity, and mismatches between topological sectors. We show that various
features of the quench, which are related to Kibble-Zurek physics, are
sensitive to the topological sector being probed, in particular, the
overlap between the time-evolved initial ground state and an appropriate
low-energy state of the final Hamiltonian. While most of our study is
confined to translationally invariant systems, where momentum is a
convenient quantum number, we briefly consider the effect of disorder
and illustrate how this can influence the quench in a qualitatively
different way depending on the topological sector considered.},
 article-number = {235130},
 author = {Kells, G. and Sen, D. and Slingerland, J. K. and Vishveshwara, S.},
 doi = {10.1103/PhysRevB.89.235130},
 eissn = {2469-9969},
 issn = {2469-9950},
 journal = {PHYSICAL REVIEW B},
 month = {JUN 26},
 number = {23},
 orcid-numbers = {Kells, Graham/0000-0003-3008-8691
Slingerland, Johannes Klaas/0000-0002-9112-269X},
 times-cited = {24},
 title = {Topological blocking in quantum quench dynamics},
 unique-id = {ISI:000338282800001},
 volume = {89},
 year = {2014}
}