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Condensed Matter > Disordered Systems and Neural Networks

Title:Algebraic Many-Body Localization and its implications on information propagation

Abstract: We probe the existence of a many-body localized phase (MBL-phase) in a spinless fermionic Hubbard chain with algebraically localized single-particle states, by investigating both static and dynamical properties of the system. This MBL-phase can be characterized by an extensive number of integrals of motion which develop algebraically decaying tails, unlike the case of exponentially localized single-particle states. We focus on the implications for the quantum information propagation through the system. We provide evidence that the bipartite entanglement entropy after a quantum quench has an unbounded algebraic growth in time, while the quantum Fisher information grows logarithmically.
Subjects: Disordered Systems and Neural Networks (cond-mat.dis-nn)
Journal reference: Phys. Rev. B 99, 054204 (2019)
DOI: 10.1103/PhysRevB.99.054204
Report number: Phys. Rev. B 99, 054204
Cite as: arXiv:1811.04941 [cond-mat.dis-nn]
  (or arXiv:1811.04941v1 [cond-mat.dis-nn] for this version)

Submission history

From: Giuseppe De Tomasi [view email]
[v1] Mon, 12 Nov 2018 19:00:01 UTC (155 KB)