Quantum simulation of thermalization in a nonuniform Dicke model with up to 200 trapped ions shows sensitivity of observables and entropy growth to coupling inhomogeneity.
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Under Floquet ETH, the trace distance between energy-filtered and thermal states is bounded by O(√δ), where δ is the filter width.
A flow equation for the resonance density exponent θ(w) derived in the SJA predicts resonance proliferation driving delocalization, with θ(w)>0 for localized phases and instability signaling thermalization, matching numerics in Anderson and MBL models.
In the long-range Haldane-Shastry model, pristine Poisson level statistics emerge only with combined position disorder and random magnetic fields, with an approximate scaling collapse governed by the product αδ when SU(2) symmetry is broken.
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Quantum simulation of thermalization dynamics of a nonuniform Dicke model
Quantum simulation of thermalization in a nonuniform Dicke model with up to 200 trapped ions shows sensitivity of observables and entropy growth to coupling inhomogeneity.
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How thermal is a filtered state?
Under Floquet ETH, the trace distance between energy-filtered and thermal states is bounded by O(√δ), where δ is the filter width.
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Resonance Proliferation Across Localization Transitions
A flow equation for the resonance density exponent θ(w) derived in the SJA predicts resonance proliferation driving delocalization, with θ(w)>0 for localized phases and instability signaling thermalization, matching numerics in Anderson and MBL models.
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Level statistics of the disordered Haldane-Shastry model with $1/r^\alpha$ interaction
In the long-range Haldane-Shastry model, pristine Poisson level statistics emerge only with combined position disorder and random magnetic fields, with an approximate scaling collapse governed by the product αδ when SU(2) symmetry is broken.