Fermionic Projected Entangled Pair States

Details Fermionic Projected Entangled Pair States Fermionic Projected Entangled Pair States

2009-04-29

arxiv.org/abs/0904.4667v2

Phys. Rev. A 81, 052338 (2010)

Physics

Quantum Physics

7 pages, 3 figures

Scientific paper

10.1103/PhysRevA.81.052338

We introduce a family of states, the fPEPS, which describes fermionic systems on lattices in arbitrary spatial dimensions. It constitutes the natural extension of another family of states, the PEPS, which efficiently approximate ground and thermal states of spin systems with short-range interactions. We give an explicit mapping between those families, which allows us to extend previous simulation methods to fermionic systems. We also show that fPEPS naturally arise as exact ground states of certain fermionic Hamiltonians. We give an example of such a Hamiltonian, exhibiting criticality while obeying an area law.

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