13 citations · 16 across the 4 of their papers we have counts for
4 papers · 1 filter
Exponentially slow thermalization in 1D fragmented dynamics
Cheng Wang, Shankar Balasubramanian, Yiqiu Han +3
We investigate the thermalization dynamics of 1D systems with local constraints coupled to an infinite temperature bath at one boundary. The coupling to the bath eventually erases…
A local automaton for the 2D toric code
Shankar Balasubramanian, Margarita Davydova, Ethan Lake
We construct a local decoder for the 2D toric code using ideas from the hierarchical classical cellular automata of Tsirelson and Gács. Our decoder is a circuit of strictly local q…
Exponentially slow thermalization and the robustness of Hilbert space fragmentation
Yiqiu Han, Xiao Chen, Ethan Lake
The phenomenon of Hilbert space fragmentation, whereby dynamical constraints fragment Hilbert space into many disconnected sectors, provides a simple mechanism by which thermalizat…
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…