Towards a Quantum Simulation of Nonlinear Sigma Models with a Topological Term

• URL: http://arxiv.org/abs/2210.03679v2
• Date: Thu, 30 Mar 2023 12:18:20 GMT
• Title: Towards a Quantum Simulation of Nonlinear Sigma Models with a Topological Term
• Authors: Jack Y. Araz, Sebastian Schenk and Michael Spannowsky
• Abstract summary: We show that the quantum theory is massless in the strong-coupling regime. We also highlight the limitations of current quantum algorithms, designed for noisy intermediate-scale quantum devices.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We determine the mass gap of a two-dimensional $O(3)$ nonlinear sigma model augmented with a topological $\theta$-term using tensor network and digital quantum algorithms. As proof of principle, we consider the example $\theta = \pi$ and study its critical behaviour on a quantum simulator by examining the entanglement entropy of the ground state. We confirm that the quantum theory is massless in the strong-coupling regime, in agreement with analytical results. However, we also highlight the limitations of current quantum algorithms, designed for noisy intermediate-scale quantum devices, in the theory simulation at weak coupling. Finally, we compare the performance of our quantum algorithms to classical tensor network methods.

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