The reduced transition matrix in chaotic dual-unitary quantum circuits has low-rank structure with entropy growing at most logarithmically in time, enabling efficient approximation for local expectation values.
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In a free-fermion circuit model doped with a tunable density of integrability-breaking gates, OTOCs reveal that local hotspots accumulate to produce chaos, with explicit time and length scales and parameter dependence for butterfly velocity and front broadening.
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Low Rank Structure of the Reduced Transition Matrix
The reduced transition matrix in chaotic dual-unitary quantum circuits has low-rank structure with entropy growing at most logarithmically in time, enabling efficient approximation for local expectation values.
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On the emergence of quantum many-body chaos for tunably-broken integrability
In a free-fermion circuit model doped with a tunable density of integrability-breaking gates, OTOCs reveal that local hotspots accumulate to produce chaos, with explicit time and length scales and parameter dependence for butterfly velocity and front broadening.