26 citations · 100 across the 11 of their papers we have counts for
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quant-ph2020★ 23 cited
A classification of phases of bosonic quantum lattice systems in one dimension
Anton Kapustin, Nikita Sopenko, Bowen Yang
We study invertible states of 1d bosonic quantum lattice systems. We show that every invertible 1d state is in a trivial phase: after tensoring with some unentangled ancillas it ca…
math-ph2020★ 26 cited
Hall conductance and the statistics of flux insertions in gapped interacting lattice systems
Anton Kapustin, Nikita Sopenko
We study charge transport for zero-temperature infinite-volume gapped lattice systems in two dimensions with short-range interactions. We show that the Hall conductance is locally…