Sine-Gordon Model with Bosonic Tensor Networks: Continuum Matching and Soliton Scattering

arXiv:2609.21846 · quant-ph, hep-ph, hep-th, nucl-th · Submitted 2026-09-18 · Read on arXiv

quant-ph, hep-ph, hep-th, nucl-th

Submitted: 2026-09-18

Updated: 2026-09-18

Code: https://github.com/QuantumKitHub/MPSKit.jl

Terminology

• Benchmark — 6× in this paper · explained in 2 episodes
• Regularization — 3× in this paper · explained in 3 episodes
• Entanglement — 2× in this paper · explained in 3 episodes
• Hilbert Space — 2× in this paper · explained in 2 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Bosonization — 1× in this paper · explained in 2 episodes
• Gauge Freedom — 1× in this paper · explained in 2 episodes
• Matrix Product States (MPS) — 1× in this paper · explained in 2 episodes
• Metastability — 1× in this paper · explained in 2 episodes
• Phase Transitions — 1× in this paper · explained in 2 episodes
• Quantization — 1× in this paper · explained in 12 episodes

Sources

• Chirality distributions inside baryons in ${\rm QCD_2}$
• Inhomogeneous quantum quenches in the sine-Gordon theory
• Finite temperature dynamics in gapped 1D models in the sine-Gordon family
• Tangent-space methods for uniform matrix product states
• Variational optimization algorithms for uniform matrix product states
• Collisions of false-vacuum bubble walls in a quantum spin chain
• Time-dependent variational principle for quantum lattices
• Unifying time evolution and optimization with matrix product states
• Real-Time Scattering in Ising Field Theory using Matrix Product States
• Real-time Scattering in \phi^4 Theory using Matrix Product States
• Entanglement generation in $(1+1)D$ QED scattering processes
• High-Energy Collision of Quarks and Mesons in the Schwinger Model: From Tensor Networks to Circuit QED
• Real-time scattering of interacting quasiparticles in quantum spin chains
• Real-time quantum calculations of phase shifts using wave packet time delays
• Quantum Simulations of Hadron Dynamics in the Schwinger Model using 112 Qubits
• Scattering wave packets of hadrons in gauge theories: Preparation on a quantum computer
• Fermionic wave packet scattering: a quantum computing approach
• Scattering of mesons in quantum simulators
• Simulating Meson Scattering on Spin Quantum Simulators
• A Cold-Atom Particle Collider

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