Stark many-body localization: Evidence for Hilbert-space shattering
Elmer V. H. Doggen, I. V. Gornyi, D. G. Polyakov
Abstract
The ergodic hypothesis lies at the heart of classical statistical physics. A crucial question, therefore, is how this idea translates into the quantum world. Many-body localization -- the analog of Anderson localization to the many-body case -- has emerged as a key example of nonergodicity. Here, the authors analyze a disorder-free Heisenberg spin chain under the influence of a constant field gradient (Stark many-body localization). Surprisingly, they find that nonergodicity results, even for a vanishingly small gradient.
Topics & Concepts
Ergodic theoryHilbert spaceAnderson localizationPhysicsField (mathematics)Space (punctuation)Quantum mechanicsConstant (computer programming)Theoretical physicsStatistical physicsPhilosophyMathematicsPure mathematicsComputer scienceLinguisticsProgramming languageQuantum many-body systemsModel Reduction and Neural NetworksTensor decomposition and applications