Scaling of quantum correlation and monogamy relation near a quantum phase transitions in two-dimensional XY spin system
arXiv:1609.09190
Abstract
The purpose of the paper is mainly to investigate the quantum critical behavior of two-dimensional XY spin system by calculating quantum correlation and monogamy relation through implementation of quantum renormalization group theory. Numerical analysis indicates that quantum correlation as well as quantum nonlocality can be used to efficiently detect the quantum critical property in two-dimensional XY spin system. The nonanalytic behavior of the first derivative of quantum correlation approaches infinity and the critical point is reached as the size of the model increases. Furthermore, we discuss the quantum correlation distribution in this model based on square of concurrence (SC) and square of quantum discord (SQD). The monogamous properties of SC and SQD are obtained for the present system. We finally reveal that the monogamy score can be used to capture the quantum critical point.
arXiv comment18 pages, 7 figures
References in corpus (28)
- A computable measure of entanglement
- Introducing Quantum Discord
- Entanglement of a Pair of Quantum Bits
- Entanglement in quantum critical phenomena
- Scaling of Entanglement close to a Quantum Phase Transitions
- Necessary and sufficient condition for non-zero quantum discord
- On the Power of One Bit of Quantum Information
- Quantum discord for two-qubit X-states
- Diverging Entanglement Length in Gapped Quantum Spin Systems
- Monogamy Inequality in terms of Negativity for Three-Qubit States
- Entanglement, quantum phase transition and scaling in XXZ chain
- Phase Diagram and Entanglement of Ising Model With Dzyaloshinskii-Moriya Interaction
- Quantum discord for two-qubit X states: Analytical formula with very small worst-case error
- The renormalization of entanglement in the anisotropic Heisenberg (XXZ) model
- Conditions for Monogamy of Quantum Discord: Greenberger-Horne-Zeilinger versus W states
- Measurement-induced nonlocality based on the trace norm
- Renormalization of concurrence: the application of quantum renormalization group to the quantum information systems
- Entanglement and quantum phase transition in the one-dimensional anisotropic XY model
- Quantum entanglement and quantum phase transition in the XY model with staggered Dzyaloshinskii-Moriya interaction
- Exploring multipartite quantum correlations with the square of quantum discord
- General Monogamy of Tsallis -Entropy Entanglement in Multiqubit Systems
- Performance of various correlation measures in quantum renormalization-group method: A case study of quantum phase transition
- Scaling of quantum discord in spin models
- Berry phase and quantum criticality in Yang--Baxter systems
- Quantum renormalization group of XY model in two dimensions
- Monogamy deficit for quantum correlation in multipartite quantum system
- Lower bounds on violation of monogamy inequality for quantum correlation measures
- Universal quantum correlation close to quantum critical phenomena