# Generation of the superposition of mesoscopic states of nano-mechanical resonator by a single two-level system

## TL;DR

This paper presents a measurement-based method to generate superposition states in a nanomechanical resonator using a coupled two-level quantum system and laser-driven interactions, enabling large displacements and analysis of decoherence.

## Contribution

It introduces a novel measurement-based approach for creating superposition states in nanomechanical resonators via a coupled qubit and laser control, with analysis of quantum interference and decoherence.

## Key findings

- Superposition states can be generated with large displacements.
- Quantum interference enhances superposition properties.
- Decoherence effects are analyzed using Wigner functions.

## Abstract

We propose measurement based conditional generation of superposition of motional states of nanomechanical resonator. We consider a two level quantum mechanical system coupled with nanomechanical resonator through phonon exchange. An interaction, which produces shifts in the state of nanomechanical resonator depending on the state of the qubit, is realized by driving qubit through two resonant lasers. The measurement of the state of quantum mechanical system produces superposition states of nanomechanical resonator. We show that the quantum interference between states in superposition may lead to arbitrary large displacement in resonator. We also discuss decoherence of generated states using Wigner function.