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Strings, Projected Entangled Pair States, and variational Monte Carlo methods

Norbert Schuch, Michael M. Wolf, Frank Verstraete, J. Ignacio Cirac

Phys. Rev. Lett. 100, 040501 **, (2008)

DOI: 10.1103/PhysRevLett.100.040501 Pfeil
*arXiv.org*: 0708.1567 Pfeil

Abstract: We introduce string-bond states, a class of states obtained by placing strings of operators on a lattice, which encompasses the relevant states in Quantum Information. For string-bond states, expectation values of local observables can be computed efficiently using Monte Carlo sampling, making them suitable for a variational abgorithm which extends DMRG to higher dimensional and irregular systems. Numerical results demonstrate the applicability of these states to the simulation of many-body sytems.