3 papers
cond-mat.stat-mech2025
Strong Hilbert space fragmentation and fractons from subsystem and higher-form symmetries
Charles Stahl, Oliver Hart, Alexey Khudorozhkov +1
We introduce a new route to Hilbert space fragmentation in high dimensions leveraging the group-word formalism. We show that taking strongly fragmented models in one dimension and…
cond-mat.stat-mech2025
Robust Hilbert space fragmentation in group-valued loop models
Alexey Khudorozhkov, Charles Stahl, Oliver Hart +1
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 fr…
quant-ph2024
Glassy word problems: ultraslow relaxation, Hilbert space jamming, and computational complexity
Shankar Balasubramanian, Sarang Gopalakrishnan, Alexey Khudorozhkov +1
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 time…