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arXiv · 1708.00474

Manifestations of dynamical localization in the disordered XXZ spin chain

Alexander Elgart·Abel Klein·Günter Stolz
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Abstract

We study disordered XXZ spin chains in the Ising phase exhibiting droplet localization, a single cluster localization property we previously proved for random XXZ spin chains. It holds in an energy interval $I$ near the bottom of the spectrum, known as the droplet spectrum. We establish dynamical manifestations of localization in the energy window $I$, including non-spreading of information, zero-velocity Lieb-Robinson bounds, and general dynamical clustering. Our results do not rely on knowledge of the dynamical characteristics of the model outside the droplet spectrum. A byproduct of our analysis is that for random XXZ spin chains this droplet localization can happen only inside the droplet spectrum.

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Alexander Elgart, Abel Klein, Günter Stolz. 2017-08-01. Manifestations of dynamical localization in the disordered XXZ spin chain. https://doi.org/10.1007/s00220-018-3132-x

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