Bifurcating entanglement-renormalization group flows of fracton stabilizer models
Arpit Dua, Pratyush Sarkar, Dominic J. Williamson, Meng Cheng
Abstract
This paper studies the structure of three-dimensional translation invariant Pauli stabilizer models. The authors find that when a model has a bosonic particle which is mobile in two dimensions, a stack of two-dimensional toric code can be extracted from it using a local unitary. Similarly, when a model has a bosonic particle that is mobile in all three dimensions, the three-dimensional toric code can be extracted from it using a local unitary.
Topics & Concepts
FractonInvariant (physics)PhysicsStabilizer (aeronautics)Code (set theory)Abelian groupMathematicsTranslation (biology)Group (periodic table)Pure mathematicsStack (abstract data type)Theoretical physicsComputationPauli exclusion principleParticle (ecology)Work (physics)Statistical physicsToric codeStability (learning theory)Computer scienceParticle dynamicsQuantum many-body systemsTheoretical and Computational PhysicsBlack Holes and Theoretical Physics