Many-body localization for the random XXZ spin chain in fixed energy intervals
Alexander Elgart, Abel Klein
TL;DR
This paper demonstrates that the infinite random Heisenberg XXZ spin-1/2 chain exhibits slow, logarithmic information propagation within fixed energy intervals, indicating many-body localization across various regimes.
Contribution
It establishes the presence of slow, logarithmic information spreading in the XXZ spin chain for fixed energy intervals, covering weak interactions and strong disorder regimes.
Findings
Logarithmic light cone observed in the spin chain
Slow information propagation across energy intervals
Applicable to both weak interaction and strong disorder regimes
Abstract
A key signature of MBL (many-body localization) is the slow rate at which information spreads. It is shown that the infinite random Heisenberg XXZ spin- chain exhibits slow propagation of information (logarithmic light cone) in any arbitrary but fixed energy interval. The relevant parameter regime, which covers both weak interaction and strong disorder, is determined solely by the energy interval.
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Taxonomy
TopicsQuantum many-body systems · Quantum Information and Cryptography · Theoretical and Computational Physics