A Converse to Lieb–Robinson Bounds in One Dimension Using Index Theory
A Converse to Lieb–Robinson Bounds in One Dimension Using Index Theory
Abstract Unitary dynamics with a strict causal cone (or “light cone”) have been studied extensively, under the name of quantum cellular automata (QCAs). In particular, QCAs in one dimension have been completely classified by an index theory. Physical systems often exhibit only approximate causal cones; Hamiltonian evolutions on the lattice …