Entanglement Dynamics of Disordered Quantum XY Chains
Abdul-Rahman, Houssam, Nachtergaele, Bruno, Sims, Robert +1 more
We consider the dynamics of the quantum XY chain with disorder under the\ngeneral assumption that the expectation of the eigenfunction correlator of the\nassociated one-particle Hamiltonian satisfies a decay estimate typical of\nAnderson localization. We show that, starting from a broad class of product\ninitial states, entanglement remains bounded for all times. For the XX chain,\nwe also derive bounds on the particle transport which, in particular, show that\nthe density profile of initial states that consist of fully occupied and empty\nintervals, only have significant dynamics near the edges of those intervals,\nuniformly for all times.
•Jan 1, 2015•20 citations