Liquid ground state, gap and excited states of a strongly correlated spin chain

TL;DR

This paper provides an exact analytical solution for a strongly correlated one-dimensional spin chain with long-range interactions, revealing a liquid ground state, degenerate sectors, and explicit excited states.

Contribution

It introduces an exact solution for a specific quantum spin chain model, detailing its ground state, excitations, and entanglement properties, which was previously unexplored.

Findings

Identified a strongly correlated liquid ground state.

Derived explicit wave functions for excited states.

Calculated the excitation gap and entanglement properties.

Abstract

We present an exact solution of an experimentally realizable and strongly interacting one-dimensional spin system which is a limiting case of a quantum Ising model with long range interaction in a transverse and longitudinal field. Pronounced quantum fluctuations lead to a strongly correlated liquid ground state. For open boundary conditions the ground state manifold consists of four degenerate sectors whose quantum numbers are determined by the orientation of the edge spins. Explicit expressions for the entanglement properties, the excitation gap as well as the exact wave functions for a couple of excited states are analytically derived and discussed.