The University of Arizona

Localized phase of excitations in disordered harmonic oscillator systems

Localized phase of excitations in disordered harmonic oscillator systems

Series: Mathematical Physics and Probability Seminar
Location: Math 402
Presenter: Houssam Abdul-Rahman, University of Arizona

We consider a class of disordered harmonic oscillator systems associated with an effective one particle Hamiltonian that is localized (only) at the bottom of its spectrum. We identify the corresponding phase of localized excitations then 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.

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