SciPost Phys. 12, 203 (2022) ·
published 27 June 2022
Thouless pumping is a fundamental instance of quantized transport, which is
topologically protected. Although its theoretical importance, the adiabaticity
condition is an obstacle for further practical applications. Here, focusing on
the Rice-Mele model, we provide a family of finite-frequency examples that
ensure both the absence of excitations and the perfect quantization of the
pumped charge at the end of each cycle. This family, which contains an
adiabatic protocol as a limiting case, is obtained through a mapping onto the
zero curvature representation of the Euclidean sinh-Gordon equation.
SciPost Phys. 4, 038 (2018) ·
published 25 June 2018
We study the eigenstates of a paradigmatic model of many-body localization in
the Fock basis constructed out of the natural orbitals. By numerically studying
the participation ratio, we identify a sharp crossover between different phases
at a disorder strength close to the disorder strength at which subdiffusive
behaviour sets in, significantly below the many-body localization transition.
We repeat the analysis in the conventionally used computational basis, and show
that many-body localized eigenstates are much stronger localized in the Fock
basis constructed out of the natural orbitals than in the computational basis.