Speaker
Description
In chaotic quantum many-body systems, it was shown that the relaxation timescales of correlation functions can be encoded as quantum Ruelle–Pollicott (RP) resonances. They can arise as the leading eigenvalues of a propagator truncated to short-ranged operators, with the insight that short-ranged operators govern local thermalization. In this work, we extend RP resonances to the relaxation of Rényi entropies, closely related to the entanglement membrane picture. These RP resonances arise as leading eigenvalues of a higher-copy propagator, truncated to dressed domain walls between the effective degrees of freedom of the entanglement membrane. Focusing on translationally invariant Floquet brickwall circuits, we show that the RP resonance of the two-copy propagator governs the growth rate of the second Rényi entropy. By analyzing momentum-resolved propagators, we extract the membrane tension, which satisfies the expected universal constraints.
| Project | T5 - From localization in quenched disorder to new forms of many-body localization |
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