Continuous unitary transformations using tensor network representations access the full many-body localized spectrum
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2026
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866912964742742016 |
|---|---|
| author | Liu, Qiyu Herre, Jan-Niklas Kennes, Dante M. Karrasch, Christoph |
| author_facet | Liu, Qiyu Herre, Jan-Niklas Kennes, Dante M. Karrasch, Christoph |
| contents | We develop variational continuous unitary transformations (VCUTs), which integrate Wegner-Wilson flow equations with tensor network techniques to approximately diagonalize many-body localized (MBL) Hamiltonians. The diagonalizing unitary is represented as a matrix product operator whose bond dimension controls the accuracy. For the disordered Heisenberg chain, VCUTs accurately reproduces the full spectrum across the ergodic-to-MBL crossover at small system sizes and scales to $L = 48$ sites. Beyond eigenenergies, the method can track the spatial entanglement structure of the diagonalizing unitary $U(l)$ at each flow step, enabling identification of local integrals of motion deep in the MBL phase. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_12851 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Continuous unitary transformations using tensor network representations access the full many-body localized spectrum Liu, Qiyu Herre, Jan-Niklas Kennes, Dante M. Karrasch, Christoph Disordered Systems and Neural Networks We develop variational continuous unitary transformations (VCUTs), which integrate Wegner-Wilson flow equations with tensor network techniques to approximately diagonalize many-body localized (MBL) Hamiltonians. The diagonalizing unitary is represented as a matrix product operator whose bond dimension controls the accuracy. For the disordered Heisenberg chain, VCUTs accurately reproduces the full spectrum across the ergodic-to-MBL crossover at small system sizes and scales to $L = 48$ sites. Beyond eigenenergies, the method can track the spatial entanglement structure of the diagonalizing unitary $U(l)$ at each flow step, enabling identification of local integrals of motion deep in the MBL phase. |
| title | Continuous unitary transformations using tensor network representations access the full many-body localized spectrum |
| topic | Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2603.12851 |