Proves a general complexity bound: quantum systems solvable via size-independent level-p positivity have entanglement complexity scaling polynomially in p, linking RDM N-representability constraints to computational tractability.
Schollw¨ ock, The density-matrix renormalization group, Rev
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Experiments, numerics, and analytics on Rydberg atoms in a Lieb lattice reveal density-wave phases including a fluctuation-stabilized collinear order, a quantum liquid-vapor transition with hysteresis, and kinetically constrained slow relaxation after quenches.
New low-bond MPO construction, entanglement-aware MPS optimization, and Gutzwiller parameter tuning enable transcorrelated DMRG on 12x12 lattices, cutting ground-state energy errors by 3x to 17x versus standard DMRG at equal effort.
Tensor cross interpolation learns entanglement features of quantum states with polynomial samples assuming finite MPS bond dimension.
Quantum geometry in lattice compact scalar fields induces pair-dependent Chern couplings that produce non-identical anyons.
citing papers explorer
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Entanglement Complexity in Many-body Systems from Positivity Scaling Laws
Proves a general complexity bound: quantum systems solvable via size-independent level-p positivity have entanglement complexity scaling polynomially in p, linking RDM N-representability constraints to computational tractability.
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Quantum criticality and nonequilibrium dynamics on a Lieb lattice of Rydberg atoms
Experiments, numerics, and analytics on Rydberg atoms in a Lieb lattice reveal density-wave phases including a fluctuation-stabilized collinear order, a quantum liquid-vapor transition with hysteresis, and kinetically constrained slow relaxation after quenches.
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Scaling up the transcorrelated density matrix renormalization group
New low-bond MPO construction, entanglement-aware MPS optimization, and Gutzwiller parameter tuning enable transcorrelated DMRG on 12x12 lattices, cutting ground-state energy errors by 3x to 17x versus standard DMRG at equal effort.
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Tensor Cross Interpolation of Purities in Quantum Many-Body Systems
Tensor cross interpolation learns entanglement features of quantum states with polynomial samples assuming finite MPS bond dimension.
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Non-identical anyon algebras from compact-field quantum geometry
Quantum geometry in lattice compact scalar fields induces pair-dependent Chern couplings that produce non-identical anyons.