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Emergent Black Hole Dynamics in Critical Floquet Systems

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

While driven interacting quantum matter is generically subject to heating and scrambling, certain classes of systems evade this paradigm. I will discuss such an exceptional class in periodically driven critical (1 + 1)-dimensional systems with a spatially modulated, but disorder-free time evolution operator. Instead of complete scrambling, the excitations of the system remain well-defined. Their propagation is analogous to the evolution along light cones in a curved space-time obtained by two Schwarzschild black holes. The Hawking temperature serves as an order parameter which distinguishes between heating and non-heating phases. Beyond a time scale determined by the inverse Hawking temperature, excitations are absorbed by the black holes resulting in a singular concentration of energy at their center. I will discuss how these results can be obtained analytically within conformal field theory and complementary by means of numerical calculations for an interacting XXZ spin-1/2 chain. The latter demonstrate that our findings are surprisingly robust and survive lattice regularization.

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

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