# Efficient generation of many-body singlet states of spin-1 bosons in optical superlattices

## TL;DR

This paper introduces a stepwise adiabatic merging method to efficiently generate high-fidelity many-body singlet states of spin-1 bosons in optical superlattices, with potential applications in quantum measurement and information.

## Contribution

The paper presents a novel SAM protocol for creating many-body singlet states with high fidelity in optical superlattices, improving efficiency and robustness over previous methods.

## Key findings

- Achieves up to 90% fidelity for 16-body singlet states.
- Demonstrates interesting squeezing dynamics with odd-even oscillations.
- Potential applications in magnetic field gradient measurement and quantum info processing.

## Abstract

We propose an efficient stepwise adiabatic merging (SAM) method to generate many-body singlet states in antiferromagnetic spin-1 bosons in concatenated optical superlattices with isolated double-well arrays, by adiabatically ramping up the double-well bias. With an appropriate choice of bias sweeping rate and magnetic field, the SAM protocol predicts a fidelity as high as 90% for a sixteen-body singlet state and even higher fidelities for smaller even-body singlet states. During their evolution, the spin-1 bosons exhibit interesting squeezing dynamics, manifested by an odd-even oscillation of the experimentally observable squeezing parameter. The generated many-body singlet states may find practical applications in precision measurement of magnetic field gradient and in quantum information processing.