Entanglement and factorized ground states in two-dimensional quantum antiferromagnets
arXiv:quant-ph/0412098 · doi:10.1103/PhysRevLett.94.147208
Abstract
Making use of exact results and quantum Monte Carlo data for the entanglement of formation, we show that the ground state of anisotropic two-dimensional S=1/2 antiferromagnets in a uniform field takes the classical-like form of a product state for a particular value and orientation of the field, at which the purely quantum correlations due to entanglement disappear. Analytical expressions for the energy and the form of such states are given, and a novel type of exactly solvable two-dimensional quantum models is therefore singled out. Moreover, we show that the field-induced quantum phase transition present in the models is unambiguously characterized by a cusp minimum in the pairwise-to-global entanglement ratio R, marking the quantum-critical enhancement of \emph{multipartite} entanglement. A detailed discussion is provided on the universality of the cusp in R as a signature of quantum critical behavior entirely based on entanglement.
4 pages, 3 figures
References in corpus (13)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Distributed Entanglement
- Scaling of Entanglement close to a Quantum Phase Transitions
- Critical Phenomena and Renormalization-Group Theory
- Entanglement in a simple quantum phase transition
- Quantum Monte Carlo with Directed Loops
- Quantum Phase Transitions and Bipartite Entanglement
- Dynamics of Entanglement in One-Dimensional Spin Systems
- Studying quantum spin systems through entanglement estimators
- Entanglement and Spontaneous Symmetry Breaking in Quantum Spin Models
- The anisotropic Heisenberg model in a transverse magnetic field
- Dynamical structure factor of the anisotropic Heisenberg chain in a transverse field
- Concurrence in the two dimensional XXZ- and transverse field Ising-models
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