New method for the quantum ground states in one dimension

Abstract

A simple, general and practically exact method is developed to calculate the ground states of 1D macroscopic quantum systems with translational symmetry. Applied to the Hubbard model, a modest calculation reproduces the Bethe Ansatz results.

References in corpus (4)

• Real time evolution using the density matrix renormalization group
• Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm
• The Density Matrix Renormalization Group for finite Fermi systems
• Efficient evaluation of partition functions of frustrated and inhomogeneous spin systems

Cited by in corpus (6)

• Entanglement perturbation theory for the elementary excitation in one dimension
• Quantum Dimensional Transition in Spin-$\frac{1}{2}$ Antiferromagnetic Heisenberg Model on A Square Lattice and Space Reduction in Matrix Product State
• Entanglement perturbation theory for the quantum ground states in two dimensions
• Entanglement Perturbation Theory for Antiferromagnetic Heisenberg Spin Chains
• Entanglement Perturbation Theory for Infinite Quasi-1D Quantum Systems
• Exact ground state for the four-electron problem in a 2D finite honeycomb lattice