Meron-Cluster Algorithms for Quantum Link Models
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914664233828352 |
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| author | Barros, Joao C. Pinto Budde, Thea Marinkovic, Marina Krstic |
| author_facet | Barros, Joao C. Pinto Budde, Thea Marinkovic, Marina Krstic |
| contents | State-of-the-art algorithms for simulating fermions coupled to gauge fields often rely on integrating fermion degrees of freedom. While successful in simulating QCD at zero chemical potential, at finite density these approaches are hindered by the sign problem. We discuss the simulation of lattice gauge theories in the Hamiltonian formalism and present a generalized meron-cluster algorithm for the simulation of the $U\left(1\right)$ Quantum Link Model for spin $1/2$. This enables the study of models directly relevant to current quantum simulators and is a promising first step toward constructing new efficient algorithms for more complicated gauge theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_01039 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Meron-Cluster Algorithms for Quantum Link Models Barros, Joao C. Pinto Budde, Thea Marinkovic, Marina Krstic High Energy Physics - Lattice Statistical Mechanics State-of-the-art algorithms for simulating fermions coupled to gauge fields often rely on integrating fermion degrees of freedom. While successful in simulating QCD at zero chemical potential, at finite density these approaches are hindered by the sign problem. We discuss the simulation of lattice gauge theories in the Hamiltonian formalism and present a generalized meron-cluster algorithm for the simulation of the $U\left(1\right)$ Quantum Link Model for spin $1/2$. This enables the study of models directly relevant to current quantum simulators and is a promising first step toward constructing new efficient algorithms for more complicated gauge theories. |
| title | Meron-Cluster Algorithms for Quantum Link Models |
| topic | High Energy Physics - Lattice Statistical Mechanics |
| url | https://arxiv.org/abs/2402.01039 |