A transition between volume- and area-law entanglement occurs in row states evolved under transfer matrices of translation-invariant tensor networks, with a dense ring spectrum in the volume-law phase and a dominant eigenvalue in the area-law phase.
Ginibre, Statistical ensembles of complex, quaternion, and real matrices, J
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Complex spacing ratios of the partially open asymmetric quantum baker map exhibit a smooth M- and ρ-controlled crossover from quasi-1D to 2D Ginibre-like statistics, converging to PTCUE at large openings with no abrupt transition.
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Entanglement transitions in translation-invariant tensor networks
A transition between volume- and area-law entanglement occurs in row states evolved under transfer matrices of translation-invariant tensor networks, with a dense ring spectrum in the volume-law phase and a dominant eigenvalue in the area-law phase.
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Complex spacing ratio statistics in the partially open asymmetric quantum baker map
Complex spacing ratios of the partially open asymmetric quantum baker map exhibit a smooth M- and ρ-controlled crossover from quasi-1D to 2D Ginibre-like statistics, converging to PTCUE at large openings with no abrupt transition.