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Spread of entanglement in a Sachdev-Ye-Kitaev chain | | Yingfei Gu
; Andrew Lucas
; Xiao-Liang Qi
; | | Date: |
2 Aug 2017 | | Abstract: | We study the spread of R’enyi entropy between two halves of a
Sachdev-Ye-Kitaev (SYK) chain of Majorana fermions, prepared in a thermofield
double (TFD) state. The SYK chain model is a model of chaotic many-body
systems, which describes a one-dimensional lattice of Majorana fermions, with
spatially local random quartic interaction. We find that for integer R’enyi
index $n>1$, the R’enyi entanglement entropy saturates at a parametrically
smaller value than expected. This implies that the TFD state of the SYK chain
does not rapidly thermalize, despite being maximally chaotic: instead, it
rapidly approaches a prethermal state. We compare our results to the signatures
of thermalization observed in other quenches in the SYK model, and to intuition
from nearly-$mathrm{AdS}_2$ gravity. | | Source: | arXiv, 1708.0871 | | Services: | Forum | Review | PDF | Favorites | |
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