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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A human-in-the-loop multi-stage LLM workflow with an intermediate technical specification externalizing index conventions and contraction orders enables reliable DMRG code generation that reproduces known entanglement scaling and SPT order in spin chains, succeeding in all tested cases.
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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Hierarchical entanglement transitions and hidden area-law sectors in quantum many-body dynamics
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.
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From Paper to Program: Accelerating Quantum Many-Body Algorithm Development via a Multi-Stage LLM-Assisted Workflow
A human-in-the-loop multi-stage LLM workflow with an intermediate technical specification externalizing index conventions and contraction orders enables reliable DMRG code generation that reproduces known entanglement scaling and SPT order in spin chains, succeeding in all tested cases.
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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.
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Schr\"odinger-Navier-Stokes Equation for the Quantum Simulation of Navier-Stokes Flows
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.
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Large Nc Truncations for SU(Nc) Lattice Yang-Mills Theory with Fermions
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.