Abstract
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 language | English (US) |
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Article number | 2350003 |
Journal | Reviews in Mathematical Physics |
Volume | 35 |
Issue number | 3 |
DOIs | |
State | Published - Apr 1 2023 |
Keywords
- Quantum oscillator systems
- dynamical entanglement
- logarithmic negativity
- many-body localization
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics