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Qubit regularization of the O (3) sigma model

Publication ,  Journal Article
Singh, H; Chandrasekharan, S
Published in: Physical Review D
September 17, 2019

We construct a qubit regularization of the O(3) nonlinear sigma model in two and three spatial dimensions using a quantum Hamiltonian with two qubits per lattice site. Using a worldline formulation and worm algorithms, we show that in two spatial dimensions our model has a quantum critical point where the well-known scale-invariant physics of the three-dimensional Wilson-Fisher fixed point is reproduced. In three spatial dimensions, we recover mean-field critical exponents at a similar quantum critical point. These results show that our qubit Hamiltonian is in the same universality class as the traditional classical lattice model close to the critical points. Simple modifications to our model also allow us to study the physics of traditional lattice models with O(2) and Z2 symmetries close to the corresponding critical points.

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Published In

Physical Review D

DOI

EISSN

2470-0029

ISSN

2470-0010

Publication Date

September 17, 2019

Volume

100

Issue

5
 

Citation

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Singh, H., & Chandrasekharan, S. (2019). Qubit regularization of the O (3) sigma model. Physical Review D, 100(5). https://doi.org/10.1103/PhysRevD.100.054505
Singh, H., and S. Chandrasekharan. “Qubit regularization of the O (3) sigma model.” Physical Review D 100, no. 5 (September 17, 2019). https://doi.org/10.1103/PhysRevD.100.054505.
Singh H, Chandrasekharan S. Qubit regularization of the O (3) sigma model. Physical Review D. 2019 Sep 17;100(5).
Singh, H., and S. Chandrasekharan. “Qubit regularization of the O (3) sigma model.” Physical Review D, vol. 100, no. 5, Sept. 2019. Scopus, doi:10.1103/PhysRevD.100.054505.
Singh H, Chandrasekharan S. Qubit regularization of the O (3) sigma model. Physical Review D. 2019 Sep 17;100(5).

Published In

Physical Review D

DOI

EISSN

2470-0029

ISSN

2470-0010

Publication Date

September 17, 2019

Volume

100

Issue

5