Krylov complexity of open quantum systems: from hard spheres to black holes
Vyshnav Mohan
Abstract
A bstract We examine the complexity of quasi-static chaotic open quantum systems. As a prototypical example, we analytically compute the Krylov complexity of a slowly leaking hard-sphere gas using Berry’s conjecture. We then connect it to the holographic complexity of a d + 1-dimensional evaporating black hole using the Complexity=Volume proposal. We model the black hole spacetime by stitching together a sequence of static Schwarzschild patches across incoming negative energy null shock waves. Under certain identification of parameters, we find the late time complexity growth rate during each quasi-static equilibrium to be the same in both systems.
Topics & Concepts
PhysicsSchwarzschild radiusBlack hole (networking)QuantumWhite holeConjectureSpacetimeHawking radiationMembrane paradigmClassical mechanicsTheoretical physicsQuantum mechanicsCharged black holeGravitational collapsePure mathematicsMathematicsLink-state routing protocolEntropy (arrow of time)Computer networkRouting protocolRouting (electronic design automation)Computer scienceBlack Holes and Theoretical PhysicsQuantum many-body systemsCosmology and Gravitation Theories