Reexamination of entanglement and the quantum phase transition
MF Yang - Physical Review A—Atomic, Molecular, and Optical …, 2005 - APS
We show that, for an exactly solvable quantum spin model, a discontinuity in the first
derivative of the ground-state concurrence appears in the absence of a quantum phase …
derivative of the ground-state concurrence appears in the absence of a quantum phase …
Quantum phase transitions in fully connected spin models: An entanglement perspective
M Filippone, S Dusuel, J Vidal - Physical Review A—Atomic, Molecular, and …, 2011 - APS
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 …
transitions and for which we compute the ground-state entanglement in the …
Entanglement in a first-order quantum phase transition
J Vidal, R Mosseri, J Dukelsky - Physical Review A—Atomic, Molecular, and …, 2004 - APS
We analyze the entanglement properties of the ground state for a system of spins half
embedded in a magnetic field, mutually interacting antiferromagnetically. Contrary to the …
embedded in a magnetic field, mutually interacting antiferromagnetically. Contrary to the …
Quantum phase transitions and bipartite entanglement
LA Wu, MS Sarandy, DA Lidar - Physical review letters, 2004 - APS
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 …
characterized by nonanalyticities in the energy and bipartite entanglement. We derive a …
Nature and measure of entanglement in quantum phase transitions
Characterizing and quantifying quantum correlations in states of many-particle systems is at
the core of a full understanding of phase transitions in matter. In this work, we continue our …
the core of a full understanding of phase transitions in matter. In this work, we continue our …
Divergence of the entanglement range in low-dimensional quantum systems
We study the pairwise entanglement close to separable ground states of a class of one-
dimensional quantum spin models. At T= 0 we find that such ground states separate regions …
dimensional quantum spin models. At T= 0 we find that such ground states separate regions …
Genuine multipartite entanglement in quantum phase transitions
We demonstrate that the global-entanglement (GE) measure defined by Meyer and Wallach
[J. Math. Phys. 43, 4273 (2002)] is maximal at the critical point for the Ising chain in a …
[J. Math. Phys. 43, 4273 (2002)] is maximal at the critical point for the Ising chain in a …
Structure of quantum entanglement at a finite temperature critical point
TC Lu, T Grover - Physical Review Research, 2020 - APS
We introduce a framework to distinguish long-range quantum entanglement from long-range
classical correlations close to a finite temperature critical point in a quantum system. In …
classical correlations close to a finite temperature critical point in a quantum system. In …
Macroscopic entanglement jumps in model spin systems
I Bose, E Chattopadhyay - Physical Review A, 2002 - APS
In this paper, we consider some frustrated spin models for which the ground states are
known exactly. The concurrence, a measure of the amount of entanglement can be …
known exactly. The concurrence, a measure of the amount of entanglement can be …
Multipartite entanglement signature of quantum phase transitions
We derive a general relation between the nonanalyticities of the ground state energy and
those of a subclass of the multipartite generalized global entanglement (GGE) measure …
those of a subclass of the multipartite generalized global entanglement (GGE) measure …