Fermionic projected entangled pair states

Autor(en)

Christina Kraus, Norbert Schuch, Frank Verstraete, J. Ignacio Cirac

Abstrakt

We introduce a family of states, the fermionic projected entangled pair states (fPEPS), which describe 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.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Max-Planck-Institut für Quantenoptik

Journal

Physical Review A

Band

81

Anzahl der Seiten

6

ISSN

1050-2947

DOI

https://doi.org/10.1103/PhysRevA.81.052338

Publikationsdatum

05-2010

Peer-reviewed

Ja

ÖFOS 2012

103025 Quantenmechanik

Schlagwörter

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/f4eb0aa8-58c7-42e9-9594-4ba8bfed5346