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Quantum Simulation

Qubit regularized O(N) nonlinear sigma models

arXiv
Authors: Hersh Singh

Year

2019

Paper ID

14487

Status

Preprint

Abstract Read

~2 min

Abstract Words

127

Citations

N/A

Abstract

Motivated by the prospect of quantum simulation of quantum field theories, we formulate the O(N) nonlinear sigma model as a "qubit" model with an (N+1)-dimensional local Hilbert space at each lattice site. Using an efficient worm algorithm in the worldline formulation, we demonstrate that the model has a second-order critical point in (2+1) dimensions, where the continuum physics of the nontrivial O(N) Wilson-Fisher fixed point is reproduced. We compute the critical exponents ν and η for the O(N) qubit models up to N=8, and find excellent agreement with known results in literature from various analytic and numerical techniques for the O(N) Wilson-Fisher universality class. Our models are suited for studying O(N) nonlinear sigma models on quantum computers up to N=8 in d=2,3 spatial dimensions.

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  • Motivated by the prospect of quantum simulation of quantum field theories, we formulate the O(N) nonlinear sigma model as a "qubit" model with an (N+1)-dimensional local...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1911.12353 [2] arXiv https://arxiv.org/abs/1911.12353 [3] Publisher https://arxiv.org/abs/1911.12353

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