Correlations in disordered quantum harmonic oscillator systems: The\n effects of excitations and quantum quenches

2017/04/16 by Houssam Abdul‐Rahman, Abdul-Rahman, Houssam, Robert Sims +3
Physics and Astronomy · Mathematics · #Quantum chaos and dynamical systems #Cold Atom Physics and Bose-Einstein Condensates #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1704.04841

Abstract

We prove spatial decay estimates on disorder-averaged position-momentum\ncorrelations in a gapless class of random oscillator models. First, we prove a\ndecay estimate on dynamic correlations for general eigenstates with a bound\nthat depends on the magnitude of the maximally excited mode. Then, we consider\nthe situation of a quantum quench. We prove that the full time-evolution of an\ninitially chosen (uncorrelated) product state has disorder-averaged\ncorrelations which decay exponentially in space, uniformly in time.\n

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