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- W2989712948 abstract "We reformulate the traditional lattice $O(N)$ nonlinear sigma models as qubit models with a $N+1$ dimensional Hilbert space at each lattice site. Using an efficient worm algorithm in the worldline formulation, we demonstrate that the model has a quantum critical point in $(2+1)$ dimensions. We compute the critical exponents $nu$ and $eta$ up to $N=8$. By comparing these exponents with results from large-$N$ and $epsilon$-expansions, we demonstrate that these quantum critical points lie in the usual $O(N)$ Wilson-Fisher universality class. Our models are suited for studying $O(N)$ Wilson-Fisher universality class on quantum computers up to $N=8$." @default.
- W2989712948 created "2019-12-05" @default.
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- W2989712948 date "2019-11-27" @default.
- W2989712948 modified "2023-09-27" @default.
- W2989712948 title "Qubit $O(N)$ nonlinear sigma models" @default.
- W2989712948 hasPublicationYear "2019" @default.
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