Local quenches in chaotic quantum systems produce a Renyi-index-tuned hierarchy of entanglement transitions, with S_alpha>1 obeying area law while S_alpha<=1 is volume-law, carried by an O(1)-dimensional dominant Schmidt sector that itself exhibits similar transitions at lower critical indices.
Or´ us, Annals of Physics349, 117 (2014)
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Tensor network simulations of the Ising model on hyperbolic lattices with coordination number 7 reveal power-law boundary spin correlations in the disordered phase and logarithmic boundary entanglement entropy at criticality, consistent with holography.
A quantum algorithm for genuine Navier-Stokes equations is developed using Schrödinger-Navier-Stokes reformulation, Hamilton-Jacobi equations, and tensor-network Carleman embedding, with classical emulation shown for moderate-Reynolds Kolmogorov flows.
A multi-part truncation for lattice QCD with fermions enables explicit Hamiltonians in 1+1D and 2+1D and string-breaking simulations by capping basis states, electric energy, fermions per site, and using large-Nc matrix element scaling.
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Quantum Ising Model on $(2+1)-$Dimensional Anti$-$de Sitter Space using Tensor Networks
Tensor network simulations of the Ising model on hyperbolic lattices with coordination number 7 reveal power-law boundary spin correlations in the disordered phase and logarithmic boundary entanglement entropy at criticality, consistent with holography.