2017/07/31 by Julian Sonner, Manuel Vielma · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Eigenvalues and eigenvectors #Noncommutative and Quantum Gravity Theories #Quantum #Quantum Chromodynamics and Particle Interactions #Realization (probability) #Scrambling #Thermal #Thermal fluctuations #Thermalisation #Unitary state #cond-mat.str-el #hep-th
paper · pdf · doi:10.1007/jhep11(2017)149
36 pages, many figures; references added; matches published version
openalex created_date 2017/07/31 · openalex publication_date 2017/11/01 · arxiv created 2018/01/30 · arxiv updated 2018/02/01 · openalex updated_date 2026/08/05
A bstract The eigenstate thermalization hypothesis (ETH) explains how closed unitary quantum systems can exhibit thermal behavior in pure states. In this work we examine a recently proposed microscopic model of a black hole in AdS 2 , the so-called Sachdev-Ye-Kitaev (SYK) model. We show that this model satisfies the eigenstate thermalization hypothesis by solving the system in exact diagonalization. Using these results we also study the behavior, in eigenstates, of various measures of thermalization and scrambling of information. We establish that two-point functions in finite-energy eigenstates approximate closely their thermal counterparts and that information is scrambled in individual eigenstates. We study both the eigenstates of a single random realization of the model, as well as the model obtained after averaging of the random disordered couplings. We use our results to comment on the implications for thermal states of a putative dual theory, i.e. the AdS 2 black hole.