Duality Approach to the Spectral Statistics

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• Bruno Bertini (University of Nottingham)
• Thursday 24 March 2022, 13:15-14:30
• Theory Library.

If you have a question about this talk, please contact Dr Hannah Price.

I will describe a spacetime-duality-based approach to access the spectral statistics of quantum many-body systems. The approach can be generally applied for systems in discrete time but in the generic case it can be pushed to the end only with the aid of numerical computations. In certain cases, however, it leads to exact analytical results. I will describe two classes of local quantum circuits where this can indeed be done: dual-unitary circuits and strongly localising circuits. I will show that these two classes of circuit systems can be respectively considered minimal realisations of chaotic and localised quantum many-body systems.

This talk is part of the Theoretical Physics Seminars series.

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• Bham Talks
• Theoretical Physics Seminars
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