Quantum entropy thermalization


Huang, Y. (2023). Quantum entropy thermalization. Perimeter Institute. https://pirsa.org/23020059


Huang, Yichen. Quantum entropy thermalization. Perimeter Institute, Feb. 21, 2023, https://pirsa.org/23020059


          @misc{ pirsa_PIRSA:23020059,
            doi = {10.48660/23020059},
            url = {https://pirsa.org/23020059},
            author = {Huang, Yichen},
            keywords = {Condensed Matter},
            language = {en},
            title = {Quantum entropy thermalization},
            publisher = {Perimeter Institute},
            year = {2023},
            month = {feb},
            note = {PIRSA:23020059 see, \url{https://pirsa.org}}

Yichen Huang Massachusetts Institute of Technology (MIT)

Talk Type Scientific Series


In an isolated quantum many-body system undergoing unitary evolution, the entropy of a subsystem (smaller than half the system size) thermalizes if at long times, it is to leading order equal to the thermodynamic entropy of the subsystem at the same energy. We prove entropy thermalization for a nearly integrable Sachdev-Ye-Kitaev model initialized in a pure product state. The model is obtained by adding random all-to-all 4-body interactions as a perturbation to a random free-fermion model. In this model, there is a regime of “thermalization without eigenstate thermalization.” Thus, the eigenstate thermalization hypothesis is not a necessary condition for thermalization. Joint work with Aram W. Harrow

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