TY - JOUR T1 - Constructing quantum many-body scar Hamiltonians from Floquet automata Y1 - 2021 A1 - Pierre-Gabriel Rozon A1 - Michael Gullans A1 - Kartiek Agarwal AB -

We provide a systematic approach for constructing approximate quantum many-body scars(QMBS) starting from two-layer Floquet automaton circuits that exhibit trivial many-body revivals. We do so by applying successively more restrictions that force local gates of the automaton circuit to commute concomitantly more accurately when acting on select scar states. With these rules in place, an effective local, Floquet Hamiltonian is seen to capture dynamics of the automata over a long prethermal window, and neglected terms can be used to estimate the relaxation of revivals. We provide numerical evidence for such a picture and use our construction to derive several QMBS models, including the celebrated PXP model.

UR - https://arxiv.org/abs/2112.12153 ER -