Long-range multipartite entanglement close to a first order quantum phase transition
arXiv:1305.6225 · doi:10.1103/PhysRevA.89.032330
Abstract
We provide insight in the quantum correlations structure present in strongly correlated systems beyond the standard framework of bipartite entanglement. To this aim we first exploit rotationally invariant states as a test bed to detect genuine tripartite entanglement beyond the nearest-neighbor in spin-1/2 models. Then we construct in a closed analytical form a family of entanglement witnesses which provides a sufficient condition to determine if a state of a many-body system formed by an arbitrary number of spin-1/2 particles possesses genuine tripartite entanglement, independently of the details of the model. We illustrate our method by analyzing in detail the anisotropic XXZ spin chain close to its phase transitions, where we demonstrate the presence of long range multipartite entanglement near the critical point and the breaking of the symmetries associated to the quantum phase transition.
6 pages, 3 figures, RevTeX 4, the abstract was changed and the manuscript was extended including the contents of the previous appendix B
References in corpus (21)
- Entanglement Entropy and Quantum Field Theory
- Entanglement in quantum critical phenomena
- Scaling of Entanglement close to a Quantum Phase Transitions
- Entanglement in a simple quantum phase transition
- Classification of mixed three-qubit states
- Entanglement Measures under Symmetry
- Entanglement versus Correlations in Spin Systems
- Classification of multi-qubit mixed states: separability and distillability properties
- Multipartite entanglement in spin chains
- The structure of multidimensional entanglement in multipartite systems
- Multipartite Entanglement Signature of Quantum Phase Transitions
- Threshold temperature for pairwise and many-particle thermal entanglement in the isotropic Heisenberg model
- Separability properties of tripartite states with UxUxU-symmetry
- Entanglement criteria for Dicke states
- Multipartite entanglement detection via structure factors
- Multipartite entanglement in quantum spin chains
- Pairwise entanglement in symmetric multi-qubit systems
- Density Matrix Renormalization Group for Dummies
- Energy and multipartite entanglement in multidimensional and frustrated spin models
- Entanglement spectrum of the Heisenberg XXZ chain near the ferromagnetic point
- When finite-size corrections vanish: The S=1/2 XXZ model and the Razumov-Stroganov state
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- Criticality-enhanced quantum sensing in ferromagnetic Bose-Einstein condensates: role of readout measurement and detection noise
- Magnetic quantum correlation in the 1D transverse-field XXZ model
- Multi-partite quantum nonlocality and Bell-type inequalities in an infinite-order quantum phase transition of the one-dimensional spin-1/2 XXZ chain
- Systematic Construction of Genuine Multipartite Entanglement Criteria using Uncertainty Relations
- Intrinsic Jump Character of the First-Order Quantum Phase Transitions
- Growth of genuine multipartite entanglement in random unitary circuits
- Dimension-free entanglement detection in multipartite Werner states
- Entanglement and exotic superfluidity in spin-imbalanced lattices
- Progress towards a unified approach to entanglement distribution
- Entanglement scaling at first order phase transitions
- Long-range multipartite quantum correlations and factorization in a one-dimensional spin-1/2 chain
- Effect of long-range interactions on multipartite entanglement in Heisenberg chains
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- Linear mapping between magnetic susceptibility and entanglement in conventional and exotic one-dimensional superfluids
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- Heuristic for estimation of multiqubit genuine multipartite entanglement
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- General spin systems without genuinely multipartite nonlocality
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