Ground-State Approximation for Strongly Interacting Spin Systems in Arbitrary Spatial Dimension

Abstract

We introduce a variational method for the approximation of ground states of strongly interacting spin systems in arbitrary geometries and spatial dimensions. The approach is based on weighted graph states and superpositions thereof. These states allow for the efficient computation of all local observables (e.g., energy) and include states with diverging correlation length and unbounded multiparticle entanglement. As a demonstration, we apply our approach to the Ising model on 1D, 2D, and 3D square lattices. We also present generalizations to higher spins and continuous-variable systems, which allows for the investigation of lattice field theories.

Keywords

ObservablePhysicsQuantum entanglementSpinsIsing modelComputationSquare latticeLattice (music)Ground stateQuantum mechanicsStatistical physicsDimension (graph theory)Spin (aerodynamics)Hamiltonian (control theory)Theoretical physicsQuantumMathematicsCondensed matter physicsCombinatorics

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Publication Info

Year: 2006
Type: article
Volume: 97
Issue: 10
Pages: 107206-107206
Citations: 62
Access: Closed

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APA Style

                            
                                
                                    Simon Anders, 
                                
                                    Martin B. Plenio, 
                                
                                    Wolfgang Dür
                                
                                et al.
                            
                            (2006). 
                            Ground-State Approximation for Strongly Interacting Spin Systems in Arbitrary Spatial Dimension. 
                            Physical Review Letters
                            , 97
                            (10)
                            , 107206-107206.
                            https://doi.org/10.1103/physrevlett.97.107206
                        

Identifiers

DOI: 10.1103/physrevlett.97.107206