Sequentially generated states for the study of two dimensional systems

Details Sequentially generated states for the study of two dimensional systems Sequentially generated states for the study of two dimensional systems

2008-02-18

arxiv.org/abs/0802.2472v1

Phys. Rev. A 77, 052306 (2008)

Physics

Quantum Physics

10 pages, 4 figures

Scientific paper

10.1103/PhysRevA.77.052306

Matrix Product States can be defined as the family of quantum states that can be sequentially generated in a one-dimensional system. We introduce a new family of states which 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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