2015/04/30 by Xiaopeng Li, Sriram Ganeshan, J. H. Pixley +1 · 174 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Eigenvalues and eigenvectors #Enhanced Data Rates for GSM Evolution #Entropy (arrow of time) #Lattice (music) #Many-body theory #Mathematics #Optical lattice #Physics #Quantum #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Scaling #Statistical physics #Thermalisation #Ultracold atom #cond-mat.quant-gas #cond-mat.str-el #quant-ph
paper · pdf · doi:10.1103/physrevlett.115.186601
published in Physical Review Letters 115(18), 186601 (American Physical Society) · 5+5 pages, 7 figures, replaced with published version
arxiv created 2015/10/28 · openalex publication_date 2015/10/28 · arxiv updated 2015/10/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate many-body localization in the presence of a single-particle mobility edge. By considering an interacting deterministic model with an incommensurate potential in one dimension we find that the single-particle mobility edge in the noninteracting system leads to a many-body mobility edge in the corresponding interacting system for certain parameter regimes. Using exact diagonalization, we probe the mobility edge via energy resolved entanglement entropy (EE) and study the energy resolved applicability (or failure) of the eigenstate thermalization hypothesis (ETH). Our numerical results indicate that the transition separating area and volume law scaling of the EE does not coincide with the nonthermal to thermal transition. Consequently, there exists an extended nonergodic phase for an intermediate energy window where the many-body eigenstates violate the ETH while manifesting volume law EE scaling. We also establish that the model possesses an infinite temperature many-body localization transition despite the existence of a single-particle mobility edge. We propose a practical scheme to test our predictions in atomic optical lattice experiments which can directly probe the effects of the mobility edge.