| | |
| | |
Stat |
Members: 3645 Articles: 2'504'928 Articles rated: 2609
26 April 2024 |
|
| | | |
|
Article forum
| |
|
Quantum Phase Transitions and Bipartite Entanglement | Lian-Ao Wu
; Marcelo S. Sarandy
; Daniel A. Lidar
; | Rating: | Members: 5/5 (1 reader) | Visitors: 5/5 (1 visitor) | Date: |
7 Jul 2004 | Journal: | Phys. Rev. Lett. 93, 250404 (2004) | Subject: | Quantum Physics; Statistical Mechanics | quant-ph cond-mat.stat-mech | Affiliation: | Center for Quantum Information and Quantum Control, University of Toronto | Abstract: | 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. | Source: | arXiv, quant-ph/0407056 | Other source: | [GID 794622] pmid15697878 | Services: | Forum | Review | PDF | Favorites |
|
|
No message found in this article forum.
You have a question or message about this article?
Ask the community and write a message in the forum.
If you want to rate this article, please use the review section..
To add a message in the forum, you need to login or register first. (free): registration page
|
| |
|
|
|
| News, job offers and information for researchers and scientists:
| |