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Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model
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An action-angle representation of spin variables was used to relate the large-S Heisenberg antiferromagnet to the O(3) nonlinear sigma model quantum field theory, with precise equivalence for integral S as discussed by the authors.About:
This article is published in Physics Letters A.The article was published on 1983-02-14. It has received 1855 citations till now. The article focuses on the topics: Sigma model & AKLT model.read more
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Symmetry protected topological phases in two-orbital SU(4) fermionic atoms
TL;DR: In particular, the authors showed that the ground state of SU(4) $e\text{\ensuremath{-}}g$ spin model is a nontrivial symmetry protected topological (SPT) phase protected by {Z}_{4}\ifmmode\times\else\texttimes\fi{Z}{4}$ symmetry.
Exotic phases of matter in quantum magnets: A tensor networks tale
TL;DR: In this article, the ground state phase diagram of the bilinear-biquadratic Heisenberg model on the square and triangular lattices by means of infinite projected entangled pairs states is computed.
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Local order parameters for symmetry fractionalization
José Garre-Rubio,Sofyan Iblisdir +1 more
TL;DR: In this article, a family of order parameters is proposed to detect the symmetry fractionalization class of anyons in 2D topological phases, which accounts for the projective, as opposed to linear, representations of the symmetry group on the anyons.
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Determination of quantum toric error correction code threshold using convolutional neural network decoders
Natalia Jarska,Miles Schaeffer +1 more
TL;DR: In this article , a convolutional neural network (CNN) decoder was proposed to correct errors in the toric code based on the system research of machine learning, and the decoder reached 10.8%, which is closer to the optimal threshold of about 11%.
References
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Zur Theorie der Metalle
TL;DR: In this article, a Methode angegeben, um die Eigenfunktionen nullter and Eigenwerte erster Naherung (im Sinne des Approximationsverfahrens von London and Heitler) fur ein „eindimensionales Metall“ zu berechnen, bestehend aus einer linearen Kette von sehr vielen Atomen, von denen jedes auser abgeschlossenen Schalen eins-Elektron with Spin besitz
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On the theory of metals. 1. Eigenvalues and eigenfunctions for the linear atomic chain
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Integrable Hamiltonian systems and interactions through quadratic constraints
TL;DR: In this article, the relativistic field theories in one time and one space dimension with interactions that are entirely due to quadratic constraints are shown to be closely related to integrable Hamiltonian systems.
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Interaction of Goldstone Particles in Two-Dimensions. Applications to Ferromagnets and Massive Yang-Mills Fields
TL;DR: In this paper, it is shown that due to interaction the regime of the asymmptotic freedom arises and the continuation to higher dimensions and the applications of the result are briefly discussed.
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What is the spin of a spin wave
L. D. Faddeev,L.A. Takhtajan +1 more
TL;DR: In this paper, it was shown that the spin of a spin wave in the Heisenberg antiferromagnetic chain of spins 1 2 is equal to 1 2 rather than 1 as is generally considered to be true.