Monte Carlo Methods in the Manifold of Hartree-Fock-Bogoliubov Wave Functions
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866912033318895616 |
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| author | Vitali, Ettore Rosenberg, Peter Zhang, Shiwei |
| author_facet | Vitali, Ettore Rosenberg, Peter Zhang, Shiwei |
| contents | We explore the possibility to implement random walks in the manifold of Hartree-Fock-Bogoliubov wave functions. The goal is to extend state-of-the-art quantum Monte Carlo approaches, in particular the constrained-path auxiliary-field quantum Monte Carlo technique, to systems where finite pairing order parameters or complex pairing mechanisms, e.g., Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) pairing or triplet pairing, may be expected. Leveraging the flexibility to define a vacuum state tailored to the physical problem, we discuss a method to use imaginary-time evolution of Hartree-Fock-Bogoliubov states to compute ground state correlations, extending beyond situations spanned by current formalisms. Illustrative examples are provided. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2409_11571 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Monte Carlo Methods in the Manifold of Hartree-Fock-Bogoliubov Wave Functions Vitali, Ettore Rosenberg, Peter Zhang, Shiwei Strongly Correlated Electrons Quantum Gases We explore the possibility to implement random walks in the manifold of Hartree-Fock-Bogoliubov wave functions. The goal is to extend state-of-the-art quantum Monte Carlo approaches, in particular the constrained-path auxiliary-field quantum Monte Carlo technique, to systems where finite pairing order parameters or complex pairing mechanisms, e.g., Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) pairing or triplet pairing, may be expected. Leveraging the flexibility to define a vacuum state tailored to the physical problem, we discuss a method to use imaginary-time evolution of Hartree-Fock-Bogoliubov states to compute ground state correlations, extending beyond situations spanned by current formalisms. Illustrative examples are provided. |
| title | Monte Carlo Methods in the Manifold of Hartree-Fock-Bogoliubov Wave Functions |
| topic | Strongly Correlated Electrons Quantum Gases |
| url | https://arxiv.org/abs/2409.11571 |