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Trapped Ion Quantum Computing Quantum Simulation

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

arXiv
Authors: Jack Y. Araz, Sebastian Schenk, Michael Spannowsky

Year

2022

Paper ID

58594

Status

Preprint

Abstract Read

~2 min

Abstract Words

104

Citations

N/A

Abstract

We determine the mass gap of a two-dimensional O(3) nonlinear sigma model augmented with a topological θ-term using tensor network and digital quantum algorithms. As proof of principle, we consider the example θ= π 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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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • We determine the mass gap of a two-dimensional O(3) nonlinear sigma model augmented with a topological θ-term using tensor network and digital quantum algorithms.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2210.03679 [2] arXiv https://arxiv.org/abs/2210.03679 [3] Publisher https://arxiv.org/abs/2210.03679

Local Citation Graph (Related-Paper Links)

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