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Friday, April 20th 2018

12:20 pm:

Sachdev-Ye-Kitaev (SYK) model is a strongly correlated disordered model which exhibits many interesting properties, such as non-Fermi liquid behavior, AdS/CFT correspondence, and maximally chaoticity. In this talk, I will introduce a modified SYK model to investigate the interplay between interaction and disorder numerically. By adding constrain in coupling constant of SYK, a many-body "mobility edge" in the spectrum can be found by checking the nearest neighbor spacing distribution. When choosing a specific basis of many-body Hilbert space, one can find localized and delocalized wavefunction in Fock space. A discussion of connection and difference between chaoticity and locality of the states in this model will also be present.

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