5 papers
Thermalization with Gaussian Quantum Cellular Automata
Roman Geiko, Jake Gerenraich
We study the long-time dynamics of many-body bosonic lattice systems under translation-invariant Gaussian quantum cellular automata. We formulate two sets of conditions on GQCAs wh…
Anomalies on the Lattice, Homotopy of Quantum Cellular Automata, and a Spectrum of Invertible States
Alexander M. Czajka, Roman Geiko, Ryan Thorngren
We develop a rigorous topological theory of anomalies on the lattice, which are obstructions to gauging global symmetries and the existence of trivial symmetric states. We also con…
A Classification of Invertible Stabilizer Codes
Roman Geiko, Georgii Shuklin
We develop a framework for the classification of invertible translation-invariant stabilizer codes modulo condensation and stabilization with simple codes. We introduce generalizat…
An Algebraic Theory of Gapped Domain Wall Partons
Matthew Buican, Roman Geiko, Milo Moses +1
The entanglement bootstrap program has generated new quantum numbers associated with degrees of freedom living on gapped domain walls between topological phases in two dimensions.…
Parametrized topological phases in 1d and T-duality
Roman Geiko
There are families of physical systems that cannot be adiabatically evolved to the trivial system uniformly across the parameter space, even if each system in the family belongs to…