Exact many-body dynamics in quantum circuits via space-time duality

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• Bruno Bertini, University of Nottingham
• Thursday 16 May 2024, 14:00-15:00
• TCM Seminar Room.

If you have a question about this talk, please contact Gaurav.

In recent years, quantum circuits have emerged as useful effective models to understand generic quantum many-body dynamics, and as concrete platforms for quantum simulation. The most appealing feature of these systems is that, contrary to generic many-body systems in continuous time, the dynamics of quantum circuits are sometimes amenable to analytical treatment. In the talk I will present a fruitful route to achieve this goal based on imposing a duality symmetry between space and time. I will review how this symmetry allows to fully characterise entanglement spreading and operator growth and what are its implications on the spreading of quantum information. I will then show that the duality symmetry, and the constraints it imposes, can be systematically relaxed while retaining exact solvability.

This talk is part of the Theory of Condensed Matter series.

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