Scaling of entanglement entropy and correlations in the variable-range extended Ising model
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866915959880548352 |
|---|---|
| author | J, Harikrishnan K Sadhukhan, Debasis Pal, Amit Kumar |
| author_facet | J, Harikrishnan K Sadhukhan, Debasis Pal, Amit Kumar |
| contents | We study the two-point correlation functions and the bipartite entanglement in the ground state of the exactly-solvable variable-range extended Ising model of qubits in the presence of a transverse field on a one-dimensional lattice. We introduce the variation in the range of interaction by varying the coordination number, $\mathcal{Z}$, of each qubit, where the interaction strength between a pair of qubits at a distance $r$ varies as $\sim r^{-α}$. We show that the algebraic nature of the correlation functions is present only up to $r=\mathcal{Z}$, above which it exhibits short-range exponential scaling. We also show that at the critical point, the bipartite entanglement exhibits a power-law decrease ($\sim\mathcal{Z}^{-γ}$) with increasing coordination number irrespective of the partition size and the value of $α$ for $α>1$. We further consider a sudden quench of the system starting from the ground state of the infinite-field limit of the system Hamiltonian via turning on the critical Hamiltonian, and demonstrate that the long-time averaged bipartite entanglement exhibits a qualitatively similar variation ($\sim\mathcal{Z}^{-γ}$) with $\mathcal{Z}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_01846 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Scaling of entanglement entropy and correlations in the variable-range extended Ising model J, Harikrishnan K Sadhukhan, Debasis Pal, Amit Kumar Quantum Physics Strongly Correlated Electrons We study the two-point correlation functions and the bipartite entanglement in the ground state of the exactly-solvable variable-range extended Ising model of qubits in the presence of a transverse field on a one-dimensional lattice. We introduce the variation in the range of interaction by varying the coordination number, $\mathcal{Z}$, of each qubit, where the interaction strength between a pair of qubits at a distance $r$ varies as $\sim r^{-α}$. We show that the algebraic nature of the correlation functions is present only up to $r=\mathcal{Z}$, above which it exhibits short-range exponential scaling. We also show that at the critical point, the bipartite entanglement exhibits a power-law decrease ($\sim\mathcal{Z}^{-γ}$) with increasing coordination number irrespective of the partition size and the value of $α$ for $α>1$. We further consider a sudden quench of the system starting from the ground state of the infinite-field limit of the system Hamiltonian via turning on the critical Hamiltonian, and demonstrate that the long-time averaged bipartite entanglement exhibits a qualitatively similar variation ($\sim\mathcal{Z}^{-γ}$) with $\mathcal{Z}$. |
| title | Scaling of entanglement entropy and correlations in the variable-range extended Ising model |
| topic | Quantum Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2504.01846 |