1 / 14

MERA in 2D ( Multi-scale Entanglement Renormalization Ansatz )

MERA in 2D ( Multi-scale Entanglement Renormalization Ansatz ). Łukasz Cincio ( POSTER ) Jacek Dziarmaga Marek M. Rams ( POSTER ) @ Uniwersytet Jagielloński . arXiv:0710.3829 accepted in Phys. Rev. Lett. MERA: periodic chain of 4 spins. G. Vidal, PRL 2007.

vea
Download Presentation

MERA in 2D ( Multi-scale Entanglement Renormalization Ansatz )

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. MERA in 2D( Multi-scale Entanglement Renormalization Ansatz ) Łukasz Cincio (POSTER) Jacek Dziarmaga Marek M. Rams (POSTER) @ Uniwersytet Jagielloński arXiv:0710.3829 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 • 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

More Related