Many-body protected entanglement generation in interacting spin systems

TL;DR

This paper presents a method for generating decoherence-resistant entanglement in spin systems using gapped Hamiltonians, enabling robust creation of GHZ states and enhanced frequency spectroscopy sensitivity.

Contribution

It introduces a novel protected evolution approach for entanglement generation in many-body systems, applicable to trapped ions and optical lattices, with fidelity analysis.

Findings

Successful generation of GHZ states with increased robustness.

Enhanced frequency spectroscopy sensitivity using protected entanglement.

Fidelity expressions under non-ideal conditions.

Abstract

We discuss a method to achieve decoherence resistent entanglement generation in two level spin systems governed by gapped and multi-degenerate Hamiltonians. In such systems, while the large number of degrees of freedom in the ground state levels allows to create various quantum superpositions, the energy gap prevents decoherence. We apply the protected evolution to achieve decoherence resistent generation of many particle GHZ states and show it can significantly increase the sensitivity in frequency spectroscopy. We discuss how to engineer the desired many-body protected manifold in two specific physical systems, trapped ions and neutral atoms in optical lattices, and present simple expressions for the fidelity of GHZ generation under non-ideal conditions.