Gauge theory couplings on anisotropic lattices

Carena, Marcela; Gustafson, Erik; Lamm, Henry; Li, Yingying; Liu, Wanqiang

doi:10.1103/physrevd.106.114504

Cited by 15 publications

(1 citation statement)

References 86 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We hope that this exploration will improve our understanding of inhomogeneous phases and the Lifshitz regime of lattice quantum chromodynamics [29,30], as well as the examination of "chiral spiral" condensation [31]. One should also compare the manipulation of the three states associated with a rung in our approach with qutrit simulations [32] and decide if the quartic term could be found in the context of Symanzik improvement [33,34]…”

Section: The Effective Hamiltonian and Phase Diagrammentioning

confidence: 98%

Scalar QED with Rydberg atoms

Meurice,

Corona,

Cantu

et al. 2024

Proceedings of the 40th International Symposium on Lattice Field Theory — PoS(LATTICE2023)

View full text Add to dashboard Cite

We review recent suggestions to quantum simulate scalar electrodynamics (the lattice Abelian Higgs model) in 1 + 1 dimensions with rectangular arrays of Rydberg atoms. We show that platforms made publicly available recently allow empirical explorations of the critical behavior of quantum simulators. We discuss recent progress regarding the phase diagram of two-leg ladders, effective Hamiltonian approaches and the construction of hybrid quantum algorithms targeting hadronization in collider physics event generators.

show abstract

Section: The Effective Hamiltonian and Phase Diagrammentioning

confidence: 98%

Scalar QED with Rydberg atoms

Meurice,

Corona,

Cantu

et al. 2024

Proceedings of the 40th International Symposium on Lattice Field Theory — PoS(LATTICE2023)

View full text Add to dashboard Cite

show abstract

From square plaquettes to triamond lattices for SU(2) gauge theory

Kavaki,

Lewis

2024

Commun Phys

View full text Add to dashboard Cite

Lattice gauge theory should be able to address significant new scientific questions when implemented on quantum computers. In practice, error-mitigation techniques have already allowed encouraging progress on small lattices. In this work we focus on a truncated version of SU(2) gauge theory, which is a familiar non-Abelian step toward quantum chromodynamics. First, we demonstrate effective error mitigation for imaginary time evolution on a lattice having two square plaquettes, obtaining the ground state using an IBM quantum computer and observing that this would have been impossible without error mitigation. Then we propose the triamond lattice as an expedient approach to lattice gauge theories in three spatial dimensions and we derive the Hamiltonian. Finally, error-mitigated imaginary time evolution is applied to the three-dimensional triamond unit cell, and its ground state is obtained from an IBM quantum computer. Future work will want to relax the truncation on the gauge fields, and the triamond lattice is increasingly valuable for such studies.

show abstract