Entanglement area law in interacting bosons from the Bose-Hubbard model to phi 4 theory and beyond

arXiv:2411.02157 · quant-ph, cond-mat.quant-gas, cond-mat.stat-mech, math-ph, math.MP · Submitted 2024-11-04 · Read on arXiv

quant-ph, cond-mat.quant-gas, cond-mat.stat-mech, math-ph, math.MP

Submitted: 2024-11-04

Updated: 2026-09-24

Terminology

• Area Law — 73× in this paper · explained in 1 episode
• Entanglement — 53× in this paper · explained in 3 episodes
• Spectral Gap — 33× in this paper · explained in 5 episodes
• Effective Hamiltonian — 27× in this paper · explained in 2 episodes
• Entanglement Entropy — 14× in this paper · explained in 2 episodes
• Hubbard Model — 9× in this paper · explained in 3 episodes
• Hilbert Space — 8× in this paper · explained in 2 episodes
• Matrix Product States — 5× in this paper
• Accuracy — 4× in this paper · explained in 1 episode
• Approximate Ground State Projection — 3× in this paper
• Chebyshev Polynomials — 3× in this paper · explained in 2 episodes
• Frustration — 3× in this paper · explained in 2 episodes
• Generalization — 3× in this paper · explained in 13 episodes
• Matrix Product States (MPS) — 3× in this paper · explained in 2 episodes
• Japan Science and Technology — 2× in this paper
• RIKEN Center for Quantum Computing — 2× in this paper
• RIKEN Cluster for Pioneering Research — 2× in this paper
• Degeneracy — 1× in this paper · explained in 3 episodes

Sources

• An area law and sub-exponential algorithm for 1D systems
• Thermal Area Law in Long-Range Interacting Systems
• Provably Efficient Simulation of 1D Long-Range Interacting Systems at Any Temperature
• Simulating quantum field theory with a quantum computer

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