Fractional Quantum Hall States: Infinite Matrix Product Representation and its Implications
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912830091952128 |
|---|---|
| author | Schraven, Severin Warzel, Simone |
| author_facet | Schraven, Severin Warzel, Simone |
| contents | We present a novel matrix product representation of the Laughlin and related fractional quantum Hall wavefunctions based on a rigorous version of the correlators of a chiral quantum field theory. This representation enables the quantitative control of the coefficients of the Laughlin wavefunction times an arbitrary monomial symmetric polynomial when expanded in a Slater determinant or permanent basis. It renders the properties, such as factorization and the renewal structure, inherent in such fractional quantum Hall wavefunctions transparent. We prove bounds on the correlators of the chiral quantum field theory and utilize this representation to demonstrate the exponential decay of connected correlations and a gap in the entanglement spectrum on a thin cylinder. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_12165 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Fractional Quantum Hall States: Infinite Matrix Product Representation and its Implications Schraven, Severin Warzel, Simone Mathematical Physics Strongly Correlated Electrons 81V70 We present a novel matrix product representation of the Laughlin and related fractional quantum Hall wavefunctions based on a rigorous version of the correlators of a chiral quantum field theory. This representation enables the quantitative control of the coefficients of the Laughlin wavefunction times an arbitrary monomial symmetric polynomial when expanded in a Slater determinant or permanent basis. It renders the properties, such as factorization and the renewal structure, inherent in such fractional quantum Hall wavefunctions transparent. We prove bounds on the correlators of the chiral quantum field theory and utilize this representation to demonstrate the exponential decay of connected correlations and a gap in the entanglement spectrum on a thin cylinder. |
| title | Fractional Quantum Hall States: Infinite Matrix Product Representation and its Implications |
| topic | Mathematical Physics Strongly Correlated Electrons 81V70 |
| url | https://arxiv.org/abs/2601.12165 |