On thermalization in the SYK and supersymmetric SYK models

作者:Hunter Jones Nicholas*; Liu Junyu; Zhou Yehao
来源:The Journal of High Energy Physics, 2018, 2018(2): 142.
DOI:10.1007/JHEP02(2018)142

摘要

The eigenstate thermalization hypothesis is a compelling conjecture which strives to explain the apparent thermal behavior of generic observables in closed quantum systems. Although we are far from a complete analytic understanding, quantum chaos is often seen as a strong indication that the ansatz holds true. In this paper, we address the thermalization of energy eigenstates in the Sachdev-Ye-Kitaev model, a maximally chaotic model of strongly-interacting Majorana fermions. We numerically investigate eigenstate thermalization for specific few-body operators in the original SYK model as well as its N = 1 supersymmetric extension and find evidence that these models satisfy ETH. We discuss the implications of ETH for a gravitational dual and the quantum information-theoretic properties of SYK it suggests.

  • 出版日期2018-2-22