An m-fold superposition of typical sub-maximally entangled states gains a universal ln(m) entanglement enhancement, while maximally entangled states relax to the Haar limit via N-independent scaling laws.
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Eigenstates in interacting integrable models match random superpositions of polynomially many Gaussian states for entanglement and non-Gaussianity, while nonintegrable models match exponentially many.
The volume-law coefficient of eigenstate entanglement entropy in Bose-Hubbard models remains unchanged by on-site disorder, while the O(1) contribution depends on particle density and bosonic cutoff in conserving cases and may become universal without conservation.
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Typical Entanglement of Superpositions
An m-fold superposition of typical sub-maximally entangled states gains a universal ln(m) entanglement enhancement, while maximally entangled states relax to the Haar limit via N-independent scaling laws.
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One-Body Purity, Non-Gaussianity, and Entanglement in Interacting Integrable Models
Eigenstates in interacting integrable models match random superpositions of polynomially many Gaussian states for entanglement and non-Gaussianity, while nonintegrable models match exponentially many.
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Eigenstate entanglement entropy in Bose-Hubbard models
The volume-law coefficient of eigenstate entanglement entropy in Bose-Hubbard models remains unchanged by on-site disorder, while the O(1) contribution depends on particle density and bosonic cutoff in conserving cases and may become universal without conservation.