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Renormalization of Entanglement in quantum spin modelsPowerPoint Presentation

Renormalization of Entanglement in quantum spin models

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### Renormalization of Entanglement in quantum spin models

Sharif University of Technology

Department of Physics

R. Jafari , M. Kargarian , A. Langari

Outlines:

- Motivations
- Quantum Renormalization Group
- RG of Entanglement
- conclusions

Motivations

- entanglement is the essential resource for quantum information processing and quantum communication. Protocols based on entangled states can offer an exponential speedup with respect to classical computation.
- entanglement measures quantum correlations for pure states, it is natural to think of a close connection between entanglement and the correlation functions of highly correlated states in condensed matter systems.

QRG

- In condensed matter physics, we are faced with huge number of particles.
- Diagonalizing the Hamailtonian of the quantum many body system:
- Dimensionality of the Hilbert space:

QRG

- Resorting to the approximate methods are unavoidable.
- QMC
- QRG

Hilbert Space

Effective Hilbert Space

Physically Relevant

Mathematical Framework

- A prescription is that Block Real Space RG

Real Space RG

- So an implementation of RG:
- Reduction the size of the lattice
- How many sates to be retained in the truncation procedure

summary

- Tackling the quantum many body systems in condensed matter physics from the quantum information perspective deepen our understanding of exotic states of matter.
- We combine the quantum renormalization group notion with the entanglement in order to study the entanglement in some quantum spin models.
- Evolution of entanglement through the renormalization procedure truly captures the critical behavior of the lattice models.

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