Ergodic and localized regions in quantum spin glasses on the Bethe lattice
Disordered Systems and Neural Networks
2018-02-07 v2 Quantum Physics
Abstract
By considering the quantum dynamics of a transverse field Ising spin glass on the Bethe lattice we find the existence of a many body localized region at small transverse field and low temperature. The region is located within the thermodynamic spin glass phase. Accordingly, we conjecture that quantum dynamics inside the glassy region is split in a small MBL and a large delocalized (but not necessarily ergodic) region. This has implications for the analysis of the performance of quantum adiabatic algorithms.
Keywords
Cite
@article{arxiv.1703.03678,
title = {Ergodic and localized regions in quantum spin glasses on the Bethe lattice},
author = {Gianni Mossi and Antonello Scardicchio},
journal= {arXiv preprint arXiv:1703.03678},
year = {2018}
}
Comments
19 pages, 6 figures. Invited paper for the issue on Breakdown of ergodicity in quantum systems: from solids to synthetic matter of Philosophical Transactions A of the Royal Society