Adaptive Pseudoboson Density-Matrix Renormalization Group for Dilute 2D Systems
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866911447646208000 |
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| author | Pauw, Fabian J. Köhler, Thomas Schollwöck, Ulrich Paeckel, Sebastian |
| author_facet | Pauw, Fabian J. Köhler, Thomas Schollwöck, Ulrich Paeckel, Sebastian |
| contents | Simulating strongly correlated systems in two dimensions is notoriously challenging due to rapid entanglement growth and frustration. Here, we introduce the adaptive projected-purified pseudoboson density-matrix renormalization group (A3P-DMRG) tailored to explore the ground states of dilute lattice models. The method compresses cluster Hilbert spaces by retaining only the most probable low-occupation Fock states, identified via probabilistic bounds and refined through a self-consistent mean-field basis optimization. We demonstrate that A3P-DMRG is advantageous in low-filling and weak-coupling regimes for large system sizes where conventional DMRG struggles. This establishes the method as a versatile tool for studying dilute quantum many-body systems relevant to ultra-cold atom quantum simulators, photonic lattices, Moiré materials and quantum chemistry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_13374 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Adaptive Pseudoboson Density-Matrix Renormalization Group for Dilute 2D Systems Pauw, Fabian J. Köhler, Thomas Schollwöck, Ulrich Paeckel, Sebastian Strongly Correlated Electrons Quantum Physics Simulating strongly correlated systems in two dimensions is notoriously challenging due to rapid entanglement growth and frustration. Here, we introduce the adaptive projected-purified pseudoboson density-matrix renormalization group (A3P-DMRG) tailored to explore the ground states of dilute lattice models. The method compresses cluster Hilbert spaces by retaining only the most probable low-occupation Fock states, identified via probabilistic bounds and refined through a self-consistent mean-field basis optimization. We demonstrate that A3P-DMRG is advantageous in low-filling and weak-coupling regimes for large system sizes where conventional DMRG struggles. This establishes the method as a versatile tool for studying dilute quantum many-body systems relevant to ultra-cold atom quantum simulators, photonic lattices, Moiré materials and quantum chemistry. |
| title | Adaptive Pseudoboson Density-Matrix Renormalization Group for Dilute 2D Systems |
| topic | Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2602.13374 |