Simulation of Quantum Many-Body Systems with Strings of Operators and Monte Carlo Tensor Contractions

Author(s): N. Schuch, M. M. Wolf, F. Verstraete, J. I. Cirac

Journal: Physical Review Letters

Volume: 100

Page(s): 040501

Year: 2008

DOI Number: 10.1103/PhysRevLett.100.040501

Link: Link to publication


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 algorithm which extends the density matrix renormalization group to higher dimensional and irregular systems. Numerical results demonstrate the applicability of these states to the simulation of many-body systems.

File: Link to PDF

Verstraete Group Verstraete Group