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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.00771 |
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| _version_ | 1866916307759267840 |
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| author | Erpenbeck, Andre Blommel, Thomas Zhang, Lei Lin, Wei-Ting Cohen, Guy Gull, Emanuel |
| author_facet | Erpenbeck, Andre Blommel, Thomas Zhang, Lei Lin, Wei-Ting Cohen, Guy Gull, Emanuel |
| contents | A precise dynamical characterization of quantum impurity models with multiple interacting orbitals is challenging. In quantum Monte Carlo methods, this is embodied by sign problems. A dynamical sign problem makes it exponentially difficult to simulate long times. A multi-orbital sign problem generally results in a prohibitive computational cost for systems with multiple impurity degrees of freedom even in static equilibrium calculations. Here, we present a numerically exact inchworm method that simultaneously alleviates both sign problems, enabling simulation of multi-orbital systems directly in the equilibrium or nonequilibrium steady-state. The method combines ideas from the recently developed steady-state inchworm Monte Carlo framework [Phys. Rev. Lett. 130, 186301 (2023)] with other ideas from the equilibrium multi-orbital inchworm algorithm [Phys. Rev. Lett. 124, 206405 (2020)]. We verify our method by comparison with analytical limits and numerical results from previous methods. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_00771 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Steady-state properties of multi-orbital systems using quantum Monte Carlo Erpenbeck, Andre Blommel, Thomas Zhang, Lei Lin, Wei-Ting Cohen, Guy Gull, Emanuel Mesoscale and Nanoscale Physics A precise dynamical characterization of quantum impurity models with multiple interacting orbitals is challenging. In quantum Monte Carlo methods, this is embodied by sign problems. A dynamical sign problem makes it exponentially difficult to simulate long times. A multi-orbital sign problem generally results in a prohibitive computational cost for systems with multiple impurity degrees of freedom even in static equilibrium calculations. Here, we present a numerically exact inchworm method that simultaneously alleviates both sign problems, enabling simulation of multi-orbital systems directly in the equilibrium or nonequilibrium steady-state. The method combines ideas from the recently developed steady-state inchworm Monte Carlo framework [Phys. Rev. Lett. 130, 186301 (2023)] with other ideas from the equilibrium multi-orbital inchworm algorithm [Phys. Rev. Lett. 124, 206405 (2020)]. We verify our method by comparison with analytical limits and numerical results from previous methods. |
| title | Steady-state properties of multi-orbital systems using quantum Monte Carlo |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2407.00771 |