Nonlocal magic in fermionic Gaussian states is bounded by the entanglement spectrum of the covariance matrix, is extensive in the Haar ensemble, peaks at criticality in the Kitaev chain, and grows diffusively under random circuits.
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MPS simulations of the Gross-Neveu-Wilson model at finite density reveal topological crystals for weak coupling and soliton lattices for stronger coupling due to Hilbert-space fragmentation, with quasi-spirals off the symmetry line.
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Nonlocal nonstabilizerness in free fermion models
Nonlocal magic in fermionic Gaussian states is bounded by the entanglement spectrum of the covariance matrix, is extensive in the Haar ensemble, peaks at criticality in the Kitaev chain, and grows diffusively under random circuits.
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Topological crystals and soliton lattices in a Gross-Neveu model with Hilbert-space fragmentation
MPS simulations of the Gross-Neveu-Wilson model at finite density reveal topological crystals for weak coupling and soliton lattices for stronger coupling due to Hilbert-space fragmentation, with quasi-spirals off the symmetry line.