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Manifestations of dynamical localization in the disordered XXZ spin chain

Authors :
Günter Stolz
Alexander Elgart
Abel Klein
Publication Year :
2017

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.<br />32 pages, no figures

Details

Language :
English
Database :
OpenAIRE
Accession number :
edsair.doi.dedup.....34257cd97eebad48155f783cabe32dec