ICTS:29562

Video URL

Finite Size Scaling of ETH in AdS/CFT

Finite Size Scaling of ETH in AdS/CFT

(2024). Finite Size Scaling of ETH in AdS/CFT. SciVideos. https://youtu.be/SZ0PduM0Pts

Finite Size Scaling of ETH in AdS/CFT. SciVideos, Sep. 03, 2024, https://youtu.be/SZ0PduM0Pts 

          @misc{ scivideos_ICTS:29562,
            doi = {},
            url = {https://youtu.be/SZ0PduM0Pts},
            author = {},
            keywords = {},
            language = {en},
            title = {Finite Size Scaling of ETH in AdS/CFT},
            publisher = {},
            year = {2024},
            month = {sep},
            note = {ICTS:29562 see, \url{https://scivideos.org/icts-tifr/29562}}
          }
Taishi Kawamoto
Talk numberICTS:29562
Source RepositoryICTS-TIFR
Source EventQuantum Information, Quantum Field Theory and Gravity
Collection

Abstract

The eigenstate thermalization hypothesis (ETH) provides a sufficient condition for thermalization and equilibration from any initial states in isolated systems with a large number of degrees of freedom. One part of this statement is that for large systems, the diagonal matrix elements of typical observables in the Hamiltonian eigenstate basis, that is, the expectation values of the energy eigenstates, depend smoothly on the corresponding energy values. This statement is highly related to the fact that the variance of the energy eigenstate expectation values is small. Indeed, it is conjectured that this variance shows power-law decay with respect to the Hilbert space dimension.

On the other hand, in general relativity, it is expected that heavy objects undergo gravitational collapse. Additionally, it is known that gravitational systems with black holes exhibit maximally chaotic properties. By using the holographic principle, or specifically the AdS/CFT correspondence, these facts imp...