  Numerical evidence is given for non-ergodic (non-mixing) behavior, exhibiting
ideal transport, of a simple non-integrable many-body quantum system in the
thermodynamic limit, namely kicked $t-V$ model of spinless fermions on a ring.
However, for sufficiently large kick parameters $t$ and $V$ we recover quantum
ergodicity, and normal transport, which can be described by random matrix
theory.
