Towards the phase diagram of fermions coupled with SO(3) quantum links in (2+1)-D
Towards the phase diagram of fermions coupled with SO(3) quantum links in (2+1)-D
Quantum link models (QLMs) are generalizations of Wilson's lattice gauge theory formulated with finite-dimensional link Hilbert spaces. In certain cases, the non-Abelian Gauss Law constraint can be exactly solved, and the gauge invariant subspace embedded onto local spin Hamiltonians for efficient quantum simulation. In (1+1)d previous studies of the SO(3) QLM coupled to adjoint fermionic matter have been shown to reflect key properties of QCD and nuclear physics, including distinct confining/deconfining phases and hadronic bound states. We extend the model to (2+1)d dimensions for the first time, and report on our initial results. We review the construction of gauge-invariant state space for the proposed models, and study the single-plaquette ground state via exact-diagonalisation. We provide indications of a rich phase diagram which shows both spontaneous and explicit chiral symmetry breaking, confinement, and distinct magnetic phases characterised by different plaquette expectation values.
hep-lat, cond-mat.str-el, quant-ph
Goffrier, Graham Van
18877be8-d9be-4c90-a625-8f1c11b9cb84
Banerjee, Debasish
f307cc20-b852-4105-9e07-33a8c44e913e
Chakraborty, Bipasha
7bc388c0-e36c-47a7-b5f2-a27839178e48
Huffman, Emilie
651edff6-13d7-4205-90f6-40342ccdaf6a
Maiti, Sandip
95f7691a-9956-4e68-8fe3-81d5ed4fa474
Goffrier, Graham Van
18877be8-d9be-4c90-a625-8f1c11b9cb84
Banerjee, Debasish
f307cc20-b852-4105-9e07-33a8c44e913e
Chakraborty, Bipasha
7bc388c0-e36c-47a7-b5f2-a27839178e48
Huffman, Emilie
651edff6-13d7-4205-90f6-40342ccdaf6a
Maiti, Sandip
95f7691a-9956-4e68-8fe3-81d5ed4fa474
[Unknown type: UNSPECIFIED]
Abstract
Quantum link models (QLMs) are generalizations of Wilson's lattice gauge theory formulated with finite-dimensional link Hilbert spaces. In certain cases, the non-Abelian Gauss Law constraint can be exactly solved, and the gauge invariant subspace embedded onto local spin Hamiltonians for efficient quantum simulation. In (1+1)d previous studies of the SO(3) QLM coupled to adjoint fermionic matter have been shown to reflect key properties of QCD and nuclear physics, including distinct confining/deconfining phases and hadronic bound states. We extend the model to (2+1)d dimensions for the first time, and report on our initial results. We review the construction of gauge-invariant state space for the proposed models, and study the single-plaquette ground state via exact-diagonalisation. We provide indications of a rich phase diagram which shows both spontaneous and explicit chiral symmetry breaking, confinement, and distinct magnetic phases characterised by different plaquette expectation values.
Text
2412.09691v1
- Author's Original
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Accepted/In Press date: 12 December 2024
Additional Information:
9 pages, 7 figures, proceedings to talk presented at the 41st International Symposium on Lattice Field Theory, July 28th - August 3rd 2024
Keywords:
hep-lat, cond-mat.str-el, quant-ph
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Local EPrints ID: 498165
URI: http://eprints.soton.ac.uk/id/eprint/498165
PURE UUID: ee60e7b3-41e4-464a-ab3a-1002f3cbb586
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Date deposited: 11 Feb 2025 18:00
Last modified: 12 Feb 2025 03:11
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Contributors
Author:
Graham Van Goffrier
Author:
Debasish Banerjee
Author:
Emilie Huffman
Author:
Sandip Maiti
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