Emerging Two-Dimensional Gauge Theories in Rydberg Configurable Arrays
Physical Review X, 2020 Solving strongly coupled gauge theories in two or three spatial dimensions is of fundamental importance in several areas of physics ranging from high-energy physics to condensed matter.
Alessio Celi +5 more
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General quantum algorithms for Hamiltonian simulation with applications to a non-Abelian lattice gauge theory [PDF]
Quantum, 2023 With a focus on universal quantum computing for quantum simulation, and through the example of lattice gauge theories, we introduce rather general quantum algorithms that can efficiently simulate certain classes of interactions consisting of correlated ...
Zohreh Davoudi +2 more
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Quantum to classical mapping of the two-dimensional toric code in an external field
SciPost Physics Lecture Notes, 2022 Kitaev's toric code Hamiltonian in dimension D=2 has been extensively studied for its topological properties, including its quantum error correction capabilities.
Sydney R. Timmerman, Zvonimir Z. Bandic, Roger G. Melko
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Gauss law, minimal coupling and fermionic PEPS for lattice gauge theories
SciPost Physics Lecture Notes, 2020 In these lecture notes, we review some recent works on Hamiltonian lattice gauge theories, that involve, in particular, tensor network methods. The results reviewed here are tailored together in a slightly different way from the one used in the ...
Patrick Emonts, Erez Zohar
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Gauge-invariant variational methods for Hamiltonian lattice gauge theories [PDF]
Physical Review D, 1982 This paper develops variational methods for calculating the ground-state and excited-state spectrum of Hamiltonian lattice gauge theories defined in the A/sub 0/ = 0 gauge. The scheme introduced in this paper has the advantage of allowing one to convert more familiar tools such as mean-field, Hartree-Fock, and real-space renormalization-group ...
D. Horn, M. Weinstein
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Journal of High Energy Physics, 2020 Gauge theory is the framework of the Standard Model of particle physics and is also important in condensed matter physics. As its major non-perturbative approach, lattice gauge theory is traditionally implemented using Monte Carlo simulation ...
Xiaopeng Cui, Yu Shi, Ji-Chong Yang
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The Coupled Cluster Method in Hamiltonian Lattice Field Theory: SU(2) Glueballs [PDF]
, 2001 The glueball spectrum within the Hamiltonian formulation of lattice gauge theory (without fermions) is calculated for the gauge group SU(2) and for two spatial dimensions.
A.C. Irving +23 more
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Quasicharacters, recoupling calculus, and Hamiltonian lattice quantum gauge theory [PDF]
Journal of Mathematical Physics, 2021 We study the algebra R of G-invariant representative functions over the N-fold Cartesian product of copies of a compact Lie group G modulo the action of conjugation by the diagonal subgroup. Using the representation theory of G on the Hilbert space H=L2(GN)G, we construct a subset of G-invariant representative functions, which, by standard theorems ...
P. D. Jarvis, G. Rudolph, M. Schmidt
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Dynamical fermions in Hamiltonian lattice gauge theory [PDF]
Nuclear Physics B - Proceedings Supplements, 2002 Lattice2001(algorithms), 3 ...
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The Hamiltonian limit of (3+1)D SU(3) lattice gauge theory on anisotropic lattices [PDF]
, 2003 The extreme anisotropic limit of Euclidean SU(3) lattice gauge theory is examined to extract the Hamiltonian limit, using standard path integral Monte Carlo (PIMC) methods.
A. Hasenfratz +62 more
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