Beyond Topological Invariants: Order Parameters from Dominant Fock-state Patterns
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866909035032215552 |
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| author | Hui, Tsz Hin Xia, Xiaodan Sacramento, Pedro D. Yu, Wing Chi |
| author_facet | Hui, Tsz Hin Xia, Xiaodan Sacramento, Pedro D. Yu, Wing Chi |
| contents | We introduce a general scheme for constructing order parameters (OPs) by extracting generic patterns from the dominant Fock states of many-body ground states. While topological phases are traditionally characterized by non-local invariants, we demonstrate that our real-space OPs provide a more refined classification. In the extended Su-Schrieffer-Heeger model, we show that the standard winding number is insufficient to fully distinguish all phases; our OPs reveal a hidden sub-structure where each topological sector splits into two distinct phases. Beyond identifying the phase boundaries, these OPs quantify the depth of a phase, and remain robust in characterizing transitions in disordered systems. Furthermore, our approach provides a practical finite-size diagnostic for the Berezinskii-Kosterlitz-Thouless transition in the interacting spin-1/2 XXZ model. The presented framework offers a broadly applicable tool for uncovering the phase diagrams of diverse interacting and non-interacting quantum many-body systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_10320 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Beyond Topological Invariants: Order Parameters from Dominant Fock-state Patterns Hui, Tsz Hin Xia, Xiaodan Sacramento, Pedro D. Yu, Wing Chi Other Condensed Matter Disordered Systems and Neural Networks Statistical Mechanics Strongly Correlated Electrons Quantum Physics We introduce a general scheme for constructing order parameters (OPs) by extracting generic patterns from the dominant Fock states of many-body ground states. While topological phases are traditionally characterized by non-local invariants, we demonstrate that our real-space OPs provide a more refined classification. In the extended Su-Schrieffer-Heeger model, we show that the standard winding number is insufficient to fully distinguish all phases; our OPs reveal a hidden sub-structure where each topological sector splits into two distinct phases. Beyond identifying the phase boundaries, these OPs quantify the depth of a phase, and remain robust in characterizing transitions in disordered systems. Furthermore, our approach provides a practical finite-size diagnostic for the Berezinskii-Kosterlitz-Thouless transition in the interacting spin-1/2 XXZ model. The presented framework offers a broadly applicable tool for uncovering the phase diagrams of diverse interacting and non-interacting quantum many-body systems. |
| title | Beyond Topological Invariants: Order Parameters from Dominant Fock-state Patterns |
| topic | Other Condensed Matter Disordered Systems and Neural Networks Statistical Mechanics Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2605.10320 |