Basis Optimization Renormalization Group for Quantum Hamiltonian

TL;DR

This paper introduces a novel numerical renormalization group algorithm for spin chain models that employs orthogonal basis transformations to efficiently reduce basis states and construct effective Hamiltonians.

Contribution

It proposes a new basis optimization method using combined orthogonal rotations to improve the renormalization process in quantum spin chains.

Findings

Efficient basis reduction achieved through the proposed algorithm.

Effective Hamiltonians constructed with fewer relevant basis states.

Potential improvements in computational quantum physics simulations.

Abstract

We find an algorithm of numerical renormalization group for spin chain models. The essence of this algorithm is orthogonal transformation of basis states, which is useful for reducing the number of relevant basis states to create effective Hamiltonian. We define two types of rotations and combine them to create appropriate orthogonal transformation.