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Entanglement , quantum phase transition , and scaling in the XXZ chain
| Content Provider | Semantic Scholar |
|---|---|
| Author | Gu, Shi-Jian Lin, H. O. Li, You-Quan |
| Copyright Year | 2003 |
| Abstract | Motivated by recent development in quantum entanglement, we study relations among concurrence C, SUq(2) algebra, quantum phase transition and correlation length at the zero temperature for the XXZ chain. We find that at the SU~2! point, the ground state possesses the maximum concurrence. When the anisotropic parameterD is deformed, however, its value decreases. Its dependence on D scales asC5C02C1(D21) 2 in the XY metallic phase and near the critical point ~i.e., 1,D,1.3) of the Ising-like insulating phase. We also study the dependence of C on the correlation length j, and show that it satisfies C5C021/2j near the critical point. For different sizes of the system, we show that there exists a universal scaling function of C with respect to the correlation lengthj. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://zimp.zju.edu.cn/~tcmp/publ/pdf/03pra.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Arabic numeral 0 Classical XY model Critical point (network science) Ground state Image scaling Ising model Phase Transition Quantum entanglement Test scaling Wavelet |
| Content Type | Text |
| Resource Type | Article |
