# Suppressing nonadiabatic transitions during adiabatic generation of highly entangled states in bosonic Josephson junctions

## TL;DR

This paper demonstrates how to efficiently suppress nonadiabatic transitions in bosonic Josephson junctions during the adiabatic creation of entangled states by using quantum adiabatic brachistochrone, reducing generation time.

## Contribution

It introduces a method employing quantum adiabatic brachistochrone to optimize parameter paths, avoiding divergence issues and minimizing adiabatic errors in entangled state generation.

## Key findings

- Reduced time to generate cat-like states and spin squeezed states.
- Smooth, monotonic parameter schedules improve adiabatic process efficiency.
- Avoidance of divergence in quantum geometric tensor at critical points.

## Abstract

We study suppression of nonadiabatic transitions during adiabatic generation of a cat-like state (a superposition of different size cat states) and a spin squeezed state in a bosonic Josephson junction. In order to minimize the adiabatic error, we use quantum adiabatic brachistochrone, which enables us to track a geometrically efficient path in parameter space under given conditions without requiring additional terms. For creation of a cat-like state, divergence of the quantum geometric tensor associated with gap closing at the critical point is avoided because of the parity conservation. The resulting schedules of parameters are smooth and monotonically decreasing curves. Use of these schedules offers reduction of time to generate both of a cat-like state and a spin squeezed state.