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Quantum quench of the Sachdev-Ye-Kitaev Model
- Source :
- Phys. Rev. B 96, 205123 (2017)
- Publication Year :
- 2017
-
Abstract
- We describe the non-equilibrium dynamics of the Sachdev-Ye-Kitaev models of fermions with all-to-all interactions. These provide tractable models of the dynamics of quantum systems without quasiparticle excitations. The Kadanoff-Baym equations show that the final state is thermal, and their numerical analysis appears consistent with a thermalization rate proportional to the absolute temperature of the final state. We also obtain an exact analytic solution of the non-equilibrium dynamics in the large $q$ limit of a model with $q$ fermion interactions: in this limit, the thermalization of the fermion Green's function is instantaneous.<br />Comment: 35 pages, 9 figures; (v2) added clarifications and refs
- Subjects :
- Condensed Matter - Strongly Correlated Electrons
High Energy Physics - Theory
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. B 96, 205123 (2017)
- Publication Type :
- Report
- Accession number :
- edsarx.1706.07803
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevB.96.205123