Fractonic higher-order topological phases in open quantum systems
Jian-Hao Zhang, Ke Ding, Shuo Yang, Zhen Bi
Abstract
In this work, we study the generalization of decohered average symmetry-protected topological phases to open quantum systems with a combination of subsystem symmetries and global symmetries. In particular, we provide examples of two types of intrinsic average higher-order topological phases with average subsystem symmetries. A classification scheme for these phases based on generalized anomaly cancellation criteria of average symmetry is also discussed.
Topics & Concepts
Homogeneous spaceGeneralizationSymmetry (geometry)PhysicsTopology (electrical circuits)QuantumAnomaly (physics)Symmetry protected topological orderOrder (exchange)Theoretical physicsTopological orderQuantum mechanicsMathematicsCombinatoricsMathematical analysisGeometryFinanceEconomicsQuantum many-body systemsMolecular spectroscopy and chiralityQuantum Information and Cryptography