Anomalous bulk-edge correspondence in continuous media
C. Tauber, P. Delplace, A. Venaille
Abstract
This work shows that bulk-edge correspondence fails for continuous media. From oceanic to superfluid waves passing by active fluids, the number of edge modes depends on the boundary conditions and does not match with the bulk invariant. This failure is symptomatic of unbounded yet regularized Hamiltonians and is due to the presence of ghost topological modes, revealed by scattering theory, which solves this apparent paradox.
Topics & Concepts
PhysicsScatteringBoundary (topology)Boundary value problemEnhanced Data Rates for GSM EvolutionMathematicsWork (physics)SuperfluidityStatistical physicsMathematical analysisSequence (biology)Scattering theoryClassical mechanicsAbsolute continuityReflection (computer programming)Continuous spectrumTheoretical physicsTopology (electrical circuits)VortexTopological Materials and PhenomenaQuantum many-body systemsAdvanced Condensed Matter Physics