Passive error correction protects logical information forever (in the thermodynamic limit) by
updating the system based only on local information and few-body interactions. A …

We prove the existence of extensive many-body Hamiltonians with few-body interactions
and a many-body mobility edge: all eigenstates below a nonzero energy density are …

We introduce a family of local models of dynamics based on “word problems” from computer
science and group theory, for which we can place rigorous lower bounds on relaxation …

We investigate the phenomenon of Hilbert space fragmentation (HSF) in open quantum
systems and find that it can stabilize highly entangled steady states. For concreteness, we …

Periodically driven closed quantum systems are expected to eventually heat up to infinite
temperature; reaching a steady state described by a circular orthogonal ensemble (COE) …

We present a set of generalized quantum loop models that provably exhibit topologically
stable ergodicity breaking. These results hold for both periodic and open boundary …

We introduce a large class of models exhibiting robust ergodicity breaking in quantum
dynamics. Our work is inspired by recent discussions of “topologically robust Hilbert space …

We present a mathematical theory of metastable pure states in closed many-body quantum
systems with finite-dimensional Hilbert space. Given a Hamiltonian, a pure state is defined to …

We introduce a one-dimensional correlated-hopping model of spinless fermions in which a
particle can hop between two neighboring sites only if the sites to the left and right of those …

We study the possible signatures of prethermal strong Hilbert space fragmentation (HSF) for
one-dimensional (1D) fermions subjected to a periodic drive. We extend the results of Ghosh …