Fate of fractional quantum Hall states in open quantum systems: Characterization of correlated topological states for the full Liouvillian
Tsuneya Yoshida, Koji Kudo, Hosho Katsura, Yasuhiro Hatsugai
Abstract
The authors use the pseudo-spin Chern number of the Liouvillian, as defined by twisting the boundary conditions only for one of the subspaces of the doubled Hilbert space, to characterize correlated topological states in open quantum systems.
Topics & Concepts
Hilbert spaceCharacterization (materials science)Quantum Hall effectPhysicsQuantumSpin (aerodynamics)Quantum stateLinear subspaceBoundary (topology)Topology (electrical circuits)Quantum mechanicsMathematicsPure mathematicsMathematical analysisCombinatoricsOpticsElectronThermodynamicsQuantum and electron transport phenomenaTopological Materials and PhenomenaQuantum Mechanics and Non-Hermitian Physics