TY - JOUR
T1 - Dynamical evolution of entanglement in disordered oscillator systems
AU - Abdul-Rahman, Houssam
N1 - Funding Information:
The author would like to thank Robert Sims and Günter Stolz for insightful discussions and comments.
Publisher Copyright:
© 2023 World Scientific Publishing Company.
PY - 2023/4/1
Y1 - 2023/4/1
N2 - 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.
AB - 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.
KW - Quantum oscillator systems
KW - dynamical entanglement
KW - logarithmic negativity
KW - many-body localization
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U2 - 10.1142/S0129055X23500034
DO - 10.1142/S0129055X23500034
M3 - Article
AN - SCOPUS:85143852280
SN - 0129-055X
VL - 35
JO - Reviews in Mathematical Physics
JF - Reviews in Mathematical Physics
IS - 3
M1 - 2350003
ER -