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Published byMia Underwood Modified over 3 years ago

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**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.

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**MERA: periodic chain of 4 spins**

G. Vidal, PRL 2007

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**MERA: from N=4 to N=8 spins**

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**MERA representation of a quantum state**

on 8 spins

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**MERA: entanglement renormalization**

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

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**MERA: entanglement renormalization**

on 2 block spins on 4 block spins 2nd decimation

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**MERA: entanglement renormalization**

on 2 block spins 3rd decimation

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**MERA representation of a quantum state**

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**MERA: entanglement renormalization in critical quantum Ising chain**

G. Vidal, PRL 2007

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MERA in 2D

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**MERA in 2D: quantum Ising model**

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MERA in 2D: results

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**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)

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**MERA: expectation values**

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