Dynamical evolution of entanglement in disordered oscillator systems

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We study the non-equilibrium dynamics of a disordered quantum system consisting of harmonic oscillators in a d-dimensional lattice. If the system is sufficiently localized, we show that, starting from a broad class of initial product states that are associated with a tiling (decomposition) of the d-dimensional lattice, the dynamical evolution of entanglement follows an area law in all times. Moreover, the entanglement bound reveals a dependency on how the subsystems are located within the lattice in dimensions d ≥ 2. In particular, the entanglement grows with the maximum degree of the dual graph associated with the lattice tiling.

Original languageEnglish
Article number2350003
JournalReviews in Mathematical Physics
Issue number3
Publication statusPublished - Apr 1 2023
Externally publishedYes


  • dynamical entanglement
  • logarithmic negativity
  • many-body localization
  • Quantum oscillator systems

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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