Talk page
Title:
Localization and Entanglement in Disordered Oscillator Systems
Speaker:
Abstract:
We consider a class of disordered oscillator systems associated with an effective one particle Hamiltonian that is localized (only) at the bottom of its spectrum. We establish energy-restricted versions of Lieb-Robinson bounds, quasi-locality properties of the time evolution of local observables, and of dynamic correlations bound at general eigenstates. We will show how this is done through the introduction of projections onto the suitable invariant subspaces for the Hamiltonian. Then we show area laws for the entanglement of a class of non-gaussian states defined as a uniform ensemble of eigenstates associated with a fixed number of modes. Finally, we consider the oscillator systems after a quantum quench and we present some initial results on the disorder-averaged dynamical entanglement of some product local gaussian states.
Link:
Workshop: