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We study the time evolution of bi- and tripartite operator mutual information of the time-evolution operator and Paulis spin operators in the one-dimensional Ising model with magnetic field and the disordered Heisenberg model. In the Ising model, the early-time evolution qualitatively follows an effective light cone picture, and the late-time value is well described by Pages value for a random pure state. In the Heisenberg model with strong disorder, we find many-body localization prevents the information from propagating and being delocalized. We also find an effective Ising Hamiltonian describes the time evolution of bi- and tripartite operator mutual information for the Heisenberg model in the large disorder regime.
Using strong-disorder renormalization group, numerical exact diagonalization, and quantum Monte Carlo methods, we revisit the random antiferromagnetic XXZ spin-1/2 chain focusing on the long-length and ground-state behavior of the average time-indepe
We show that a wide class of spin chains with topological frustration cannot develop any local order. In particular, we consider translational-invariant one-dimensional chains with frustrated boundary conditions, i.e. periodic boundary conditions and
While there are well established methods to study delocalization transitions of single particles in random systems, it remains a challenging problem how to characterize many body delocalization transitions. Here, we use a generalized real-space renor
Quantum entanglement permeates the complex ground states of correlated electron materials defying single-particle descriptions. Coupled magnetic atoms have potential as model systems for entanglement in condensed matter giving the opportunity to crea
We present a new class of local quenches described by mixed states, parameterized universally by two parameters. We compute the evolutions of entanglement entropy for both a holographic and Dirac fermion CFT in two dimensions. This turns out to be eq