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Open Quantum Systems Decoherence Quantum Simulation

Manifestations of dynamical localization in the disordered XXZ spin chain

arXiv
Authors: Alexander Elgart, Abel Klein, Günter Stolz

Year

2017

Paper ID

44249

Status

Preprint

Abstract Read

~2 min

Abstract Words

106

Citations

N/A

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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  • 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.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1708.00474 [2] arXiv https://arxiv.org/abs/1708.00474 [3] Publisher https://arxiv.org/abs/1708.00474

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