Analytical recursive method to ascertain multisite entanglement in doped quantum spin ladders

TL;DR

This paper introduces an analytical recursive method to generate doped RVB states in quantum spin ladders, enabling efficient estimation of multisite entanglement and revealing their role in modeling ground states of the Hubbard and t-J models.

Contribution

The authors develop a recursive analytical approach to construct doped RVB wave functions and demonstrate their genuine multipartite entanglement, linking them to the ground states of strongly correlated electron models.

Findings

Doped RVB ladder states are always genuinely multipartite entangled.

The doped RVB states capture entanglement trends in the Hubbard model's ground states.

The method provides an efficient way to estimate multisite entanglement in doped quantum spin systems.

Abstract

We formulate an analytical recursive method to generate the wave function of doped short-range resonating valence bond (RVB) states as a tool to efficiently estimate multisite entanglement as well as other physical quantities in doped quantum spin ladders. We prove that doped RVB ladder states are always genuine multipartite entangled. Importantly, our results show that within specific doping concentration and model parameter regimes, the doped RVB state essentially characterizes the trends of genuine multiparty entanglement in the exact ground states of the Hubbard model with large onsite interactions, in the limit which yields the $t$-$J$ Hamiltonian.