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

Abstract

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.

5 pages, 3 figures

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Cited by in corpus (12)

• Competition among various charge-inhomogeneous states and d-wave superconducting state in Hubbard models on square lattices
• Fermionic orbital optimisation in tensor network states
• Encoding the structure of many-body localization with matrix product operators
• Variational Monte Carlo method for fermionic models combined with tensor networks and applications to the hole-doped two-dimensional Hubbard model
• Direct sampling of projected entangled-pair states
• Variational Monte Carlo simulations using tensor-product projected states
• Charge dynamics of correlated electrons: Variational description with inclusion of composite fermions
• Ground-state wavefunction of macroscopic electron systems
• Gutzwiller Renormalization Group
• Ground state of many-electron systems based on the action function
• Efficient conversion from fermionic Gaussian states to matrix product states
• Half-Chain Entanglement Entropy in the One-Dimensional Spinless Fermion Model