Berry phase in quantum field theory: Diabolical points and boundary phenomena
Po-Shen Hsin, Anton Kapustin, Ryan Thorngren
Abstract
The quantum mechanical Berry phase is a topological contribution to the adiabatic response as system parameters are varied. It is the root of many fascinating topological phenomena in physics. Here, the authors consider spatiotemporal adiabatic response for many-body quantum systems in any dimension, and find analogous topological contributions they dub the ``higher Berry phase''. These contributions constrain the global structure of the phase diagrams of these systems and imply the existence of boundary modes at special parameter values.
Topics & Concepts
Geometric phaseAdiabatic processPhysicsQuantumBerry connection and curvatureBoundary (topology)Quantum field theoryField (mathematics)Phase (matter)Topological orderTheoretical physicsQuantum mechanicsTopology (electrical circuits)MathematicsPure mathematicsMathematical analysisCombinatoricsTopological Materials and PhenomenaQuantum Mechanics and Non-Hermitian PhysicsQuantum many-body systems