Engineering Quantum States of a Nano-Resonator via a Simple Auxiliary System

TL;DR

This paper presents a simple method to engineer complex quantum states and Hamiltonians in a nano-resonator using a driven auxiliary system, enabling the creation of non-classical states and chaotic dynamics.

Contribution

It introduces a straightforward technique to generate a wide range of non-linear Hamiltonians for nano-resonators using a driven auxiliary system.

Findings

Able to produce non-classical states

Generated Hamiltonians with chaotic classical counterparts

Method simplifies quantum state engineering

Abstract

We show how to engineer an extensive range of non-linear Hamiltonians for a nano-mechanical resonator. The technique requires only a time dependent drive applied to a Cooper-pair box or second oscillator to which the nano-resonator is coupled. This method allows one to generate a large number of non-classical states, as well as Hamiltonians whose classical counterparts are chaotic.