Entanglement renormalization in fermionic systems

Details Entanglement renormalization in fermionic systems Entanglement renormalization in fermionic systems

2007-10-03

arxiv.org/abs/0710.0692v2

Phys. Rev. B 81, 235102 (2010)

Physics

Quantum Physics

5 pages, 4 figures Second appendix added

Scientific paper

We demonstrate, in the context of quadratic fermion lattice models in one and two spatial dimensions, the potential of entanglement renormalization (ER) to define a proper real-space renormalization group transformation. Our results show, for the first time, the validity of the multi-scale entanglement renormalization ansatz (MERA) to describe ground states in two dimensions, even at a quantum critical point. They also unveil a connection between the performance of ER and the logarithmic violations of the boundary law for entanglement in systems with a one-dimensional Fermi surface. ER is recast in the language of creation/annihilation operators and correlation matrices.

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