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math-ph2026
Anomalies, higher symmetries, and homotopy theory I: crossed precosheaves and a nonabelian Cech construction
Anton Kapustin, Shixiong Xu
Symmetries of a quantum field theory or a quantum lattice model are expected to be described not by a group but by a homotopy type, whose homotopy groups are the higher symmetry gr…
cond-mat.stat-mech2026
On thermalization in many-body classical Floquet systems
Anton Kapustin
It is expected that a generic closed many-body system prepared in a well-behaved initial state and subjected to a periodic drive will eventually thermalize, i.e. approach the state…
quant-ph2026
Chaos and thermalization in Clifford-Floquet dynamics
Anton Kapustin, Daniil Radamovich
We study the ergodic properties of a unitary Floquet dynamics arising from the repeated application of a translationally-invariant Clifford Quantum Cellular Automata to an infinite…