1. MERA in 2D ( Multi-scale Entanglement Renormalization Ansatz )
Łukasz Cincio (POSTER)
Jacek Dziarmaga
Marek M. Rams (POSTER) @
Uniwersytet Jagielloński
arXiv:
accepted in Phys. Rev. Lett.

2. MERA: periodic chain of 4 spins
G. Vidal, PRL 2007

3. MERA: from N=4 to N=8 spins

4. MERA representation of a quantum state
on 8 spins

5. MERA: entanglement renormalization
(real space renormalization group on a quantum state)
G. Vidal, PRL 2007
on 4 block spins
on 8 spins
1st decimation

6. MERA: entanglement renormalization
on 2 block spins
on 4 block spins
2nd decimation

7. MERA: entanglement renormalization
on 2 block spins
3rd decimation

8. MERA representation of a quantum state

9. MERA: entanglement renormalization in critical quantum Ising chain
G. Vidal, PRL 2007

10. MERA in 2D

11. MERA in 2D: quantum Ising model

12. MERA in 2D:
results

13. Conclusion Work in progress Symmetric MERA in 2D &
First test in 2D with encouraging results
Work in progress
2D t-J model
Łukasz Cincio (POSTER ON MERA )
Marek M. Rams (POSTER ON ENTANGLEMENT IN
KIBBLE-ZUREK MECHANISM)

14. MERA: expectation values