Matrix element distributions exhibit non-analytic dependence on ensemble fluctuation scale, exposing multiscale structure in eigenstate thermalization within an integrable field theory.
Free probability and random matri- ces
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Proves that SO(3) lattice Yang-Mills theory fails Wilson's confinement criterion at strong coupling.
In the fully chaotic regime of the kicked top, long-time freeness is reached exponentially fast, accompanied by a hierarchy of time scales indicating a multifractal approach.
The paper reviews spectral properties of operators for open quantum evolution and recent theoretical and experimental work on distinguishing chaotic from integrable dissipative quantum systems.
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Multiscale Structure of Eigenstate Thermalization
Matrix element distributions exhibit non-analytic dependence on ensemble fluctuation scale, exposing multiscale structure in eigenstate thermalization within an integrable field theory.
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Deconfinement For $\mathrm{SO}(3)$ Lattice Yang-Mills at Strong Coupling
Proves that SO(3) lattice Yang-Mills theory fails Wilson's confinement criterion at strong coupling.
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Long-time Freeness in the Kicked Top
In the fully chaotic regime of the kicked top, long-time freeness is reached exponentially fast, accompanied by a hierarchy of time scales indicating a multifractal approach.
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What We Talk About When We Talk About Dissipative Quantum Chaos
The paper reviews spectral properties of operators for open quantum evolution and recent theoretical and experimental work on distinguishing chaotic from integrable dissipative quantum systems.