Mechanical systems in the quantum regime

TL;DR

This review discusses techniques for cooling and measuring mechanical resonators to observe quantum behavior, comparing experimental sensitivities to fundamental quantum limits across various systems.

Contribution

It provides a comprehensive overview of position detection and cooling methods, analyzing recent experimental achievements and theoretical limits in quantum optomechanics and nanomechanics.

Findings

Achieved sensitivities close to quantum limits in recent experiments

Nanomechanical systems with high frequencies and large zero-point motion are promising for quantum studies

Different cooling techniques like sideband and feedback cooling are effective in reaching ground states

Abstract

Mechanical systems are ideal candidates for studying quantumbehavior of macroscopic objects. To this end, a mechanical resonator has to be cooled to its ground state and its position has to be measured with great accuracy. Currently, various routes to reach these goals are being explored. In this review, we discuss different techniques for sensitive position detection and we give an overview of the cooling techniques that are being employed. The latter include sideband cooling and active feedback cooling. The basic concepts that are important when measuring on mechanical systems with high accuracy and/or at very low temperatures, such as thermal and quantum noise, linear response theory, and backaction, are explained. From this, the quantum limit on linear position detection is obtained and the sensitivities that have been achieved in recent opto and nanoelectromechanical experiments are compared to this limit. The mechanical resonators that are used in the experiments range from meter-sized gravitational wave detectors to nanomechanical systems that can only be read out using mesoscopic devices such as single-electron transistors or superconducting quantum interference devices. A special class of nanomechanical systems are bottom-up fabricated carbon-based devices, which have very high frequencies and yet a large zero-point motion, making them ideal for reaching the quantum regime. The mechanics of some of the different mechanical systems at the nanoscale is studied. We conclude this review with an outlook of how state-of-the-art mechanical resonators can be improved to study quantum {\it mechanics}.