Manifestations of dynamical localization in the disordered XXZ spin chain

Alexander Elgart, Abel Klein, Günter Stolz

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


We study disordered XXZ spin chains in the Ising phase exhibiting droplet localization, a single cluster localization property we previously proved for randomXXZ 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.

Original languageEnglish
Pages (from-to)1083-1113
Number of pages31
JournalCommunications in Mathematical Physics
Issue number3
StatePublished - 1 Aug 2018
Externally publishedYes


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