Lorentz 2DRNN introduces the first 2D hyperbolic NQS and outperforms Euclidean 2DRNN at the 2DTFIM critical point; 1D hyperbolic NQS also tested on reshaped 2D lattices.
Hibat-Allah, E
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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.
Hyperbolic recurrent networks, especially a Lorentz-model RNN, reach lower variational ground-state energies than Euclidean RNN/GRU wavefunctions on 100-spin Heisenberg chains, with up to three times fewer parameters.
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Two-dimensional Hyperbolic RNN Neural Quantum State
Lorentz 2DRNN introduces the first 2D hyperbolic NQS and outperforms Euclidean 2DRNN at the 2DTFIM critical point; 1D hyperbolic NQS also tested on reshaped 2D lattices.
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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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New non-Euclidean neural quantum states from hyperbolic Lorentz recurrent architectures
Hyperbolic recurrent networks, especially a Lorentz-model RNN, reach lower variational ground-state energies than Euclidean RNN/GRU wavefunctions on 100-spin Heisenberg chains, with up to three times fewer parameters.