Quantum Phase Transitions and Bipartite Entanglement
| dc.creator | Wu, Lian-Ao | |
| dc.creator | Sarandy, Marcelo S. | |
| dc.creator | Lidar, Daniel A. | |
| dc.date | 2004-07-07 | |
| dc.date | 2004-12-17 | |
| dc.date.accessioned | 2026-07-07T06:23:08Z | |
| dc.date.available | 2026-07-07T06:23:08Z | |
| dc.description | We develop a general theory of the relation between quantum phase transitions (QPTs) characterized by nonanalyticities in the energy and bipartite entanglement. We derive a functional relation between the matrix elements of two-particle reduced density matrices and the eigenvalues of general two-body Hamiltonians of $d$-level systems. The ground state energy eigenvalue and its derivatives, whose non-analyticity characterizes a QPT, are directly tied to bipartite entanglement measures. We show that first-order QPTs are signalled by density matrix elements themselves and second-order QPTs by the first derivative of density matrix elements. Our general conclusions are illustrated via several quantum spin models. | |
| dc.description | 5 pages, incl. 2 figures. v3: The version published in PRL, including a few extra comments and clarifications for which there was no space in the PRL | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0407056 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0407056 | |
| dc.identifier | Phys. Rev. Lett. 93, 250404 (2004) | |
| dc.identifier | doi:10.1103/PhysRevLett.93.250404 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/96128 | |
| dc.subject | Quantum Physics | |
| dc.subject | Statistical Mechanics | |
| dc.title | Quantum Phase Transitions and Bipartite Entanglement | |
| dc.type | text |