City Research Online

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 behavior 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.

Publication Type:	Article
Additional Information:	Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.
Publisher Keywords:	Nonlinear sigma model, Quantum computation, Critical phenomena, Lattice field theory, Tensor network methods
Subjects:	Q Science > QC Physics
Departments:	School of Science & Technology School of Science & Technology > Department of Engineering
SWORD Depositor:	Symplectic Administrator

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