Estimating entanglement in 2D Heisenberg model in the strong rung-coupling limit
| Autor: | Pushpan, Chandrima B., J., Harikrishnan K., Narayan, Prithvi, Pal, Amit Kumar |
|---|---|
| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Phys. Rev. A 110, 032408 (2024) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevA.110.032408 |
| Popis: | In this paper, we calculate entanglement in the isotropic Heisenberg model in a magnetic field on a two-dimensional rectangular zig-zag lattice in the strong rung-coupling limit, using the one-dimensional XXZ model as a proxy. Focusing on the leading order in perturbation, for arbitrary size of the lattice, we show how the one-dimensional effective description emerges. We point out specific states in the low-energy sector of the two-dimensional model that are well-approximated by the one-dimensional spin-1/2 XXZ model. We propose a systematic approach for mapping matrix-elements of operators defined on the two-dimensional model to their low-energy counterparts on the one-dimensional XXZ model. We also show that partial trace-based description of entanglement in the two-dimensional model can be satisfactorily approximated using the one-dimensional XXZ model as a substitute. We further show numerically that the one-dimensional XXZ model performs well in estimating entanglement quantified using a measurement-based approach in the two-dimensional model for specific choices of measured Hermitian operators. Comment: 23 pages, 9 figures, 1 table |
| Databáze: | arXiv |
| Externí odkaz: |
|