@article{ISI:000283708700020,
 abstract = {We introduce a one-dimensional version of the Kitaev model consisting of
spins on a two-legged ladder and characterized by Z(2) invariants on the
plaquettes of the ladder. We map the model to a fermionic system and
identify the topological sectors associated with different Z2 patterns
in terms of fermion occupation numbers. Within these different sectors,
we investigate the effect of a linear quench across a quantum critical
point. We study the dominant behavior of the system by employing a
Landau-Zener-type analysis of the effective Hamiltonian in the
low-energy subspace for which the effective quenching can sometimes be
non-linear. We show that the quenching leads to a residual energy which
scales as a power of the quenching rate, and that the power depends on
the topological sectors and their symmetry properties in a non-trivial
way. This behavior is consistent with the general theory of quantum
quenching, but with the correlation length exponent nu being different
in different sectors. Copyright (C) EPLA, 2010},
 article-number = {66009},
 author = {Sen, Diptiman and Vishveshwara, Smitha},
 doi = {10.1209/0295-5075/91/66009},
 issn = {0295-5075},
 journal = {EPL},
 month = {SEP},
 number = {6},
 times-cited = {19},
 title = {Quenching across quantum critical points: Role of topological patterns},
 unique-id = {ISI:000283708700020},
 volume = {91},
 year = {2010}
}