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Manifestations of dynamical localization in the disordered XXZ spin chain
- 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
- Subjects :
- Complex system
Phase (waves)
FOS: Physical sciences
01 natural sciences
Spin chain
Physics::Fluid Dynamics
Mathematics - Spectral Theory
82B44, 82C44
0103 physical sciences
Energy interval
FOS: Mathematics
Statistical physics
0101 mathematics
010306 general physics
Spectral Theory (math.SP)
Mathematical Physics
Spin-½
Physics
Quantum Physics
Single cluster
010102 general mathematics
Spectrum (functional analysis)
Statistical and Nonlinear Physics
Mathematical Physics (math-ph)
Ising model
Condensed Matter::Strongly Correlated Electrons
Quantum Physics (quant-ph)
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....34257cd97eebad48155f783cabe32dec