Interplay of Gauss Law and the fermion sign problem in quantum link models with dynamical matter
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917294903394304 |
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| author | Dey, Pallabi Banerjee, Debasish Huffman, Emilie |
| author_facet | Dey, Pallabi Banerjee, Debasish Huffman, Emilie |
| contents | Quantum Link Models with dynamical matter coupled to spin-$\frac{1}{2} \ \rm U(1)$ gauge fields in $d=2+1 $ and $3+1$ can potentially give rise to the Coulomb phase expected in quantum electrodynamics (QED) and other confining phases. Using exact diagonalization techniques, we show that the ground state in a class of models without the magnetic field always lies in the sector which satisfies $(G_e,G_o) = (d,\ -d)$, where $d$ is the spatial dimension and $e$ and $o$ are even and odd sites. It can be analytically proven that this sector is free of the fermion sign problem. We also demonstrate that a meron cluster algorithm for the problem naturally samples the ground states of the Hamiltonian in the aforementioned Gauss Law sector. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_22332 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Interplay of Gauss Law and the fermion sign problem in quantum link models with dynamical matter Dey, Pallabi Banerjee, Debasish Huffman, Emilie High Energy Physics - Lattice Quantum Link Models with dynamical matter coupled to spin-$\frac{1}{2} \ \rm U(1)$ gauge fields in $d=2+1 $ and $3+1$ can potentially give rise to the Coulomb phase expected in quantum electrodynamics (QED) and other confining phases. Using exact diagonalization techniques, we show that the ground state in a class of models without the magnetic field always lies in the sector which satisfies $(G_e,G_o) = (d,\ -d)$, where $d$ is the spatial dimension and $e$ and $o$ are even and odd sites. It can be analytically proven that this sector is free of the fermion sign problem. We also demonstrate that a meron cluster algorithm for the problem naturally samples the ground states of the Hamiltonian in the aforementioned Gauss Law sector. |
| title | Interplay of Gauss Law and the fermion sign problem in quantum link models with dynamical matter |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2602.22332 |