Gemma Shay

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Local quantum circuits provide a tractable setting to study how unitary dynamics and measurements shape the emergence of universal statistical behavior in quantum many-body systems. In this talk, I will explore how two very different measurement protocols affect Hilbert-space delocalization, anticoncentration, and quantum state k-design formation in these models. It is well-established that random circuits subject to mid-circuit measurements exhibit entanglement transitions at certain critical measurement rates, but I will show that arbitrarily low rates can already obstruct anticoncentration, regardless of the specific unitary dynamics. I will then turn to the projected ensemble, in which dual-unitary kicked Ising dynamics followed by measurements on a large bath subsystem can generate “deep thermalization,” forming exact state designs in the thermodynamic limit. In this setting, I will show how changes in the local unitary dynamics control the rate of design convergence as the bath size increases.

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FU Berlin
0.03
Contact: Xhek Turkeshi