Sequentially generated states for the study of two-dimensional systems

Author(s): M. C. Bañuls, D. Perez-Garcia, M. M. Wolf, F. Verstraete, J. I. Cirac

Journal: Phys. Rev. A

Volume: 77

Page(s): 052306

Year: 2008

DOI Number: 10.1103/PhysRevA.77.052306

Link: Link to publication


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.


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