# Superadiabatic generation of cat states in bosonic Josephson junctions under particle losses

## TL;DR

This paper presents a superadiabatic method to generate cat states in bosonic Josephson junctions that remains effective despite particle losses, leveraging parity conservation for interferometry.

## Contribution

It introduces a shortcut to adiabaticity scheme for cat state generation in bosonic Josephson junctions that is robust against particle losses and utilizes parity conservation.

## Key findings

- The scheme successfully produces cat states in ideal and lossy conditions.
- Parity conservation ensures the generated states are useful for interferometry.
- The method is resilient to significant particle losses during state preparation.

## Abstract

We investigate a superadiabatic scheme to produce a cat state in a bosonic Josephson junction in absence and presence of particle losses. The generation scheme is based on shortcuts to adiabaticity and strongly relies on the parity conservation. The parity conservation also ensures that the produced state is a superposition of cat states with various sizes, i.e., a "cats state". Parity is also the quantity to be measured in order to utilize the produced state in interferometry. The generation scheme still works even if a number of particle losses during generation are substantial.