Quantum simulating continuum field theories with large-spin lattice models

Summary

Quantum simulating continuum field theories with large-spin lattice models.

Highlights

• Quantum field theories (QFTs) can be simulated using large-spin lattice models.
• A sequence of extrapolations is necessary to reach the continuum limit.
• The large-spin limit, thermodynamic limit, and continuum limit must be taken in the correct order.
• The sine-Gordon model is a paradigmatic example of an integrable QFT.
• The model's equilibrium properties can be simulated using matrix product states.
• Real-time dynamics of individual solitons can be studied using a semi-classical model.
• Scattering of soliton-antisoliton pairs can be simulated and compared to theoretical predictions.

Key Insights

• The large-spin lattice model can be used to simulate a wide range of QFTs, including those with non-trivial interactions and in higher dimensions.
• The sine-Gordon model is a useful test case for the simulation of QFTs due to its integrability and well-known properties.
• The semi-classical model used to study soliton dynamics is a useful tool for understanding the behavior of topological excitations in QFTs.
• The simulation of scattering events in the sine-Gordon model can provide insights into the behavior of particles in QFTs.
• The use of large-spin lattice models can provide a more efficient and accurate way to simulate QFTs compared to traditional methods.
• The simulation of QFTs using large-spin lattice models can be used to study a wide range of phenomena, including phase transitions and non-equilibrium dynamics.
• The development of new numerical methods and algorithms will be necessary to fully exploit the potential of large-spin lattice models for simulating QFTs.

Mindmap

Citation

Calliari, G., Di Liberto, M., Pichler, H., & Zache, T. V. (2024). Quantum simulating continuum field theories with large-spin lattice models (Version 1). arXiv. https://doi.org/10.48550/ARXIV.2412.15325