Quantum coherence and uncertainty in the anisotropic XY chain
By G. Karpat, B. Çakmak, Felipe Fernandes Fanchini. 2014
159 citations recorded by the source corpus.
We explore the local quantum coherence and the local quantum uncertainty, based on Wigner-Yanase skew information, in the ground state of the anisotropic spin-1/2 XY chain in a transverse magnetic field. We show that the skew information, as a figure of merit, supplies the necessary information to reveal the occurrence of the second-order phase transition and the completely factorized ground state in the XY model. Additionally, in the same context, we also discuss the usefulness of a simple experimentally friendly lower bound of local quantum coherence. Furthermore, we demonstrate how the connection between the appearance of nonanalyticities in the local quantum uncertainty of the ground state and the quantum phase transitions does not hold in general, by providing explicit examples of the situation. Lastly, we discuss the ability of the local quantum coherence to accurately estimate the critical point of the phase transition, and we investigate the robustness of the factorization phenomenon at low temperatures.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/d44e7f53be53e14e6858f259aeba1d0f509a3285
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Artificial Intelligence
In Atomic and Molecular Physics, and Optics
Citations in the corpus
- Quantum coherence and geometric quantum discord (2017, background): “Karpat et al. (2014) showed validity of the Skewinformation-based coherence measure I(ρ,K) (will be called the K coherence for brevity) and its lower bound IL(ρ,K) on studying QPTs (Girolami, 2014).”