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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.
MERA: periodic chain of 4 spinsG. Vidal, PRL 2007
MERA: from N=4 to N=8 spins
MERA representation of a quantum stateon 8 spins
MERA: entanglement renormalization(real space renormalization group on a quantum state) G. Vidal, PRL 2007 on 4 block spins on 8 spins 1st decimation
MERA: entanglement renormalizationon 2 block spins on 4 block spins 2nd decimation
MERA: entanglement renormalizationon 2 block spins 3rd decimation
MERA representation of a quantum state
MERA: entanglement renormalization in critical quantum Ising chainG. Vidal, PRL 2007
MERA in 2D
MERA in 2D: quantum Ising model
MERA in 2D: results
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)
MERA: expectation values
Entanglement Renormalization Frontiers in Quantum Nanoscience A Sir Mark Oliphant & PITP Conference Noosa, January 2006 Guifre Vidal The University of.
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