Skip to main content
U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

Constructing quantum many-body scar Hamiltonians from Floquet automata



Michael Gullans, Pierre-Gabriel Rozon, Kartiek Agarwal


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 re- vivals. 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 re- vivals. We provide numerical evidence for such a picture and use our construction to derive several QMBS models, including the celebrated PXP model.
Physical Review B


quantum information, quantum simulation, statistical mechanics


Gullans, M. , Rozon, P. and Agarwal, K. (2022), Constructing quantum many-body scar Hamiltonians from Floquet automata, Physical Review B, [online],, (Accessed June 15, 2024)


If you have any questions about this publication or are having problems accessing it, please contact

Created November 22, 2022, Updated December 19, 2022