Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:quant-ph/0511243 · Chinese Physics Letters

Pairwise Entanglement and Quantum Phase Transitions in Spin Systems

Shi-Jian Gu, Tian Guang-Shan, Hai-Qing Lin

Published Sep 28, 2007• 24 citations
arXivHTMLPDF

Abstract

We examine several well-known quantum spin models and categorize the behaviour of pairwise entanglement at quantum phase transitions. A unified picture on the connection between the entanglement and quantum phase transition in spin systems is presented.
DOI
10.1088/0256-307x/24/10/007

Related papers

Pairwise Entanglement and Quantum Phase Transitions in Spin Systems

顾世建, 田光善, 林海青

Chinese Physics Letters•Jan 1, 2007•0 citations

Properties of entanglement in interacting spin systems

Rosario Fazio, Chiara Macchiavello

Abstract We briefly review recent work on entanglement with particular emphasis on its behaviour in interacting spin systems. As already pointed out by several authors a general understanding of the properties of entanglement in condensed matter systems may lead to a deeper comprehension of both dynamics and thermodynamics of many‐body systems. After a brief resume of known means to identify and quantify entanglement, we take interacting spins on a network as an example. We briefly discuss critical properties of entanglement, if the system undergoes a quantum phase transition, and some aspects of its dynamical behaviour.

Annalen der Physik•Feb 2, 2005•0 citations

Local entanglement and quantum phase transition in spin models

Shi-Jian Gu, Guang-Shan Tian, Hai-Qing Lin

In this paper, we study quantum phase transitions in both the one- and two-dimensional XXZ models with either spin S = 1/2 or S = 1 by a local entanglement E v . We show that the behaviour of E v is dictated by the low-lying spin excitation spectra of these systems. Therefore, the anomalies of E v imply their critical points. This recalls the well-known fact in optics: the three-dimensional image of one subject can be recovered from a small piece of holograph, which records the interference pattern of the reflected light beams from it. Similarly, we find that the local entanglement, which is rooted in the quantum superposition principle, provides us with a deep insight into the long-range spin correlations in these quantum spin systems.

arXiv:quant-ph/0509070•New Journal of Physics•Apr 27, 2006•53 citations

Quantum phase transitions in fully connected spin models: An entanglement perspective

Michele Filippone, Sébastien Dusuel, Julien Vidal

We consider a set of fully connected spin models that display first- or second-order transitions and for which we compute the ground-state entanglement in the thermodynamical limit. We analyze several entanglement measures (concurrence, R\'enyi entropy, and negativity) and show that, in general, discontinuous transitions lead to a jump of these quantities at the transition point. Interestingly, we also find examples where this is not the case.

arXiv:1101.3654•Physical Review A•Feb 25, 2011•52 citations

Measures of quantum entanglement

Igor Bajo

We present measures of bipartite entanglement in the multiparticle spin-1/2 systems. We also touch on the phenomenon of Quantum Phase Transitions and spin coupling. In the end we create a Python code for graphical visualisation of entanglement in relation to ground state energy behaviour. 1

•Jan 1, 2023•0 citations

Exploring quantum phase transitions with a sublattice entanglement scenario

Yan Chen, Z. D. Wang, Fu‐Chun Zhang

We introduce a measure called reduced entropy of sublattice to quantify entanglement in spin, electron, and boson systems. By analyzing this quantity, we reveal an intriguing connection between quantum entanglement and quantum phase transitions in various strongly correlated systems: the local extremes of reduced entropy and its first derivative as functions of the coupling constant coincide, respectively, with the first and second order transition points. Exact numerical studies merely for small lattices reproduce several well-known results, demonstrating that our scenario is quite promising for exploring quantum phase transitions.

arXiv:quant-ph/0512143•Physical Review B•Jun 9, 2006•31 citations
Abstract We briefly review recent work on entanglement with particular emphasis on its behaviour in interacting spin systems. As already pointed out by several authors a general understanding of the properties of entanglement in condensed matter systems may lead to a deeper comprehension of both dynamics and thermodynamics of many‐body systems. After a brief resume of known means to identify and quantify entanglement, we take interacting spins on a network as an example. We briefly discuss critical properties of entanglement, if the system undergoes a quantum phase transition, and some aspects of its dynamical behaviour.
In this paper, we study quantum phase transitions in both the one- and two-dimensional XXZ models with either spin S = 1/2 or S = 1 by a local entanglement E v . We show that the behaviour of E v is dictated by the low-lying spin excitation spectra of these systems. Therefore, the anomalies of E v imply their critical points. This recalls the well-known fact in optics: the three-dimensional image of one subject can be recovered from a small piece of holograph, which records the interference pattern of the reflected light beams from it. Similarly, we find that the local entanglement, which is rooted in the quantum superposition principle, provides us with a deep insight into the long-range spin correlations in these quantum spin systems.
We introduce a measure called reduced entropy of sublattice to quantify entanglement in spin, electron, and boson systems. By analyzing this quantity, we reveal an intriguing connection between quantum entanglement and quantum phase transitions in various strongly correlated systems: the local extremes of reduced entropy and its first derivative as functions of the coupling constant coincide, respectively, with the first and second order transition points. Exact numerical studies merely for small lattices reproduce several well-known results, demonstrating that our scenario is quite promising for exploring quantum phase transitions.