Wednesday, February 1, 2012

1201.6121 (Chung-Pin Chou et al.)

Matrix-Product based Projected Wave Functions Ansatz for Quantum
Many-Body Ground States
   [PDF]

Chung-Pin Chou, Frank Pollmann, Ting-Kuo Lee
We develop a new projected wave function approach which is based on
projection operators in the form of matrix-product operators (MPOs). Our
approach allows to variationally improve the short range entanglement of a
given trial wave function by optimizing the matrix elements of the MPOs while
the long range entanglement is contained in the initial guess of the wave
function. The optimization is performed using standard variational Monte Carlo
techniques. We demonstrate the efficiency of our approach by considering a
one-dimension model of interacting spinless fermions. In addition, we indicate
how to generalize this approach to higher dimensions using projection operators
which are based on tensor products.
View original: http://arxiv.org/abs/1201.6121

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