Explicit convergence rates for noncommutative SOS hierarchies on the Pauli algebra are bounded using smallest roots of Krawtchouk polynomials.
Han, Quantum Many-body Bootstrap, arXiv e-prints arXiv:2006.06002, 2020, [arXiv:2006.06002 [cond-mat.str-el]]
4 Pith papers cite this work. Polarity classification is still indexing.
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Incorporating string operators into the bootstrap program allows tighter rigorous bounds on ground-state correlations in SSB phases of 1D spin models and quantitative phase boundary estimates.
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Derives lower bound on collective mean free path ℓ = √(τ D) in Drude-Kadanoff-Martin model from Green's function bounds, implying Mott-Ioffe-Regel limit for lattice models.
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Convergence rates of Sum-of-Hermitian-Squares Hierarchies for the Pauli algebra
Explicit convergence rates for noncommutative SOS hierarchies on the Pauli algebra are bounded using smallest roots of Krawtchouk polynomials.
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Incorporating string operators into the bootstrap program allows tighter rigorous bounds on ground-state correlations in SSB phases of 1D spin models and quantitative phase boundary estimates.
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Representability for Quantum Theory beyond Particle-Number Conservation
A hierarchy of representability conditions for 2-RDMs in non-particle-number-conserving quantum systems is obtained from the polar cone of the p-positive cone, unified with conserving cases by adding particle-number variance.
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Bootstrapping transport in the Drude-Kadanoff-Martin model
Derives lower bound on collective mean free path ℓ = √(τ D) in Drude-Kadanoff-Martin model from Green's function bounds, implying Mott-Ioffe-Regel limit for lattice models.