Rare thermal bubbles at the many-body localization transition from the Fock space point of view
Giuseppe De Tomasi, Ivan M. Khaymovich, Frank Pollmann, Simone Warzel
Abstract
A relation between the local integrals of motions and the Hilbert-space structure of eigenstates is found across the many-body localization transition. Absence of self-averaging of wave function spread in the Hilbert space at the transition is related to the jump in the fractal dimensions and the localization length.
Topics & Concepts
Fock spaceJumpHilbert spaceRigged Hilbert spaceSpace (punctuation)Transition pointEigenvalues and eigenvectorsPoint (geometry)FractalPhysicsTransition (genetics)Wave functionFunction (biology)MathematicsQuantum mechanicsMathematical analysisGeometryReproducing kernel Hilbert spaceChemistryMechanicsEvolutionary biologyLinguisticsPhilosophyGeneBiochemistryBiologyQuantum many-body systemsQuantum, superfluid, helium dynamicsCold Atom Physics and Bose-Einstein Condensates