Towards the phase diagram of fermions coupled with $SO(3)$ quantum links in $(2+1)$-D
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866929628362309632 |
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| author | Van Goffrier, Graham Banerjee, Debasish Chakraborty, Bipasha Huffman, Emilie Maiti, Sandip |
| author_facet | Van Goffrier, Graham Banerjee, Debasish Chakraborty, Bipasha Huffman, Emilie Maiti, Sandip |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2412_09691 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Towards the phase diagram of fermions coupled with $SO(3)$ quantum links in $(2+1)$-D Van Goffrier, Graham Banerjee, Debasish Chakraborty, Bipasha Huffman, Emilie Maiti, Sandip High Energy Physics - Lattice Strongly Correlated Electrons Quantum Physics 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. |
| title | Towards the phase diagram of fermions coupled with $SO(3)$ quantum links in $(2+1)$-D |
| topic | High Energy Physics - Lattice Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2412.09691 |