Entanglement in quantum critical phenomena.
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Summary
The results establish a precise connection between concepts of quantum information, condensed matter physics, and quantum field theory, by showing that the behavior of critical entanglement in spin systems is analogous to that of entropy in conformal field theories.
- Type
- article
- Published
- 2002-11-13
- Cited by
- 2,169
- References
- 18
- Access
- Open access
- OpenAlex
- https://openalex.org/W1990516747
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:2107525
Keywords
Quantum entanglement, Quantum discord, Physics, Quantum phases, Quantum phase transition
References
- Quantum Phase Transitions: A first course
- Entanglement, Quantum Phase Transitions, and Density Matrix Renormalization
- Fermionic entanglement in itinerant systems
- Scaling of entanglement close to a quantum phase transition
- Entanglement in a simple quantum phase transition
- Matrix analysis
- Density Matrix Renormalization
- Quantum Phase Transitions
- Matrix Analysis
- Quantum Computation and Quantum Communication
- Applied Conformal Field Theory
- Quantum information and physics: some future directions
- Entanglement in a simple quantum phase transition
Cited by
- Entanglement and Bond Fluctuations in Random Singlet Phases
- Quantum phase transitions and string orders in the spin-1/2 Heisenberg–Ising alternating chain with Dzyaloshinskii–Moriya interaction
- Entanglement-area law for general bosonic harmonic lattice systems (14 pages)
- Simulations of quantum spin chains with translationally invariant Matrix Product States
- Performance of various correlation measures in quantum phase transitions using the quantum renormalization-group method
- Two-mode entanglement in two-component Bose-Einstein condensates (9 pages)
- Correlations in low-dimensional quantum many-particle systems
- Dynamics of entanglement in one-dimensional spin systems (24 pages)
- Entanglement and majorization in (1+1)-dimensional quantum systems (7 pages)
- Nature and measure of entanglement in quantum phase transitions (21 pages)
- Mutual information in interacting spin systems
- Quantum Markov processes and applications in many-body systems
- A Density-Matrix Renormalization Group Study of Quantum Spin Models with Ring Exchange
- Quantum spin chains and random matrix theory
- Quantum correlations in (1+1)-dimensional systems
- Quantum dissection of a covalent bond with the entanglement spectrum
- On Quantum Simulators and Adiabatic Quantum Algorithms
- Nontrivial Quantized Berry Phases for Itinerant Spin Liquids(Condensed matter : structure and mechanical and thermal properties)
- Entanglement Entropy of One-dimensional Gapped Spin Chains(Condensed matter: structure and mechanical and thermal properties)
- Correlations and quantum dynamics of 1D fermionic models : new results for the Kitaev chain with long-range pairing
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