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Ja n 20 08 The renormalization of entanglement in the anisotropic Heisenberg ( XXZ ) model
| Content Provider | Semantic Scholar |
|---|---|
| Author | Kargarian, Mehdi Jafari, Reza Langari, Ameneh |
| Copyright Year | 2008 |
| Abstract | We have applied our recent approach (Kargarian, et.al Phys. Rev. A 76, 60304 (R) (2007)) to study the quantum information properties of the anisotropic s=1/2 Heisenberg chain. We have investigated the underlying quantum information properties like the evolution of concurrence, en-tanglement entropy, nonanalytic behaviours and the scaling close to the quantum critical point of the model. Both the concurrence and the entanglement entropy develop two saturated values after enough iterations of the renormalization of coupling constants. This values are associated with the two different phases, i.e Néel and spin liquid phases. The nonanalytic behaviour comes from the divergence of the first derivative of both measures of entanglement as the size of system becomes large. The renormalization scheme demonstrates how the minimum value of the first derivative and its position scales with an exponent of the system size. It is shown that this exponent is directly related to the critical properties of the model, i.e. the exponent governing the divergence of the correlation length close to the quantum critical point. We also use a renormalization method based on the quantum group concept in order to get more insight about the critical properties of the model and the renormalization of entanglement. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/0711.2358v2.pdf |
| Alternate Webpage(s) | http://arxiv.org/pdf/0711.2358v3.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Concurrence (quantum computing) Coupling constant Critical point (network science) Density matrix Divergence (computer science) Heisenberg model (quantum) Image scaling Inspiration function Ising model Iteration Mental Suffering Numerical analysis Numerical method Phase Transition Physical Review A Quantum critical point Quantum entanglement Quantum information Quantum spin liquid Quantum system REM Sleep Behavior Disorder Residential gateway Test scaling |
| Content Type | Text |
| Resource Type | Article |
