Sequentially generated states for the study of two dimensional systems

Autor(en)

Mari-Carmen Banuls, David Pérez-Garcia, Michael M. Wolf, Frank Verstraete, J. Ignacio Cirac

Abstrakt

Matrix product states can be defined as the family of quantum states that can be sequentially generated in a one-dimensional system [Schön et al., Phys. Rev. Lett. 95, 110503 (2005)]. We introduce a family of states that extends this definition to two dimensions. Like in matrix product states, expectation values of few body observables can be efficiently evaluated and, for the case of translationally invariant systems, the correlation functions decay exponentially with the distance. We show that such states are a subclass of projected entangled pair states and investigate their suitability for approximating the ground states of local Hamiltonians.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Max-Planck-Institut für Quantenoptik, Universidad Complutense De Madrid

Journal

Physical Review A

Band

77

Anzahl der Seiten

9

ISSN

1050-2947

DOI

https://doi.org/10.1103/PhysRevA.77.052306

Publikationsdatum

05-2008

Peer-reviewed

Ja

ÖFOS 2012

103025 Quantenmechanik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/dcba9830-a819-487e-9d97-5dd34df91363