TL;DR: The basic circuit architecture presented here provides a feasible path to ground-state cooling and subsequent coherent control and measurement of long-lived quantum states of mechanical motion and is in excellent quantitative agreement with recent theoretical predictions.
Abstract: Demonstrating and exploiting the quantum nature of macroscopic mechanical objects would help us to investigate directly the limitations of quantum-based measurements and quantum information protocols, as well as to test long-standing questions about macroscopic quantum coherence. Central to this effort is the necessity of long-lived mechanical states. Previous efforts have witnessed quantum behaviour, but for a low-quality-factor mechanical system. The field of cavity optomechanics and electromechanics, in which a high-quality-factor mechanical oscillator is parametrically coupled to an electromagnetic cavity resonance, provides a practical architecture for cooling, manipulation and detection of motion at the quantum level. One requirement is strong coupling, in which the interaction between the two systems is faster than the dissipation of energy from either system. Here, by incorporating a free-standing, flexible aluminium membrane into a lumped-element superconducting resonant cavity, we have increased the single-photon coupling strength between these two systems by more than two orders of magnitude, compared to previously obtained coupling strengths. A parametric drive tone at the difference frequency between the mechanical oscillator and the cavity resonance dramatically increases the overall coupling strength, allowing us to completely enter the quantum-enabled, strong-coupling regime. This is evidenced by a maximum normal-mode splitting of nearly six bare cavity linewidths. Spectroscopic measurements of these 'dressed states' are in excellent quantitative agreement with recent theoretical predictions. The basic circuit architecture presented here provides a feasible path to ground-state cooling and subsequent coherent control and measurement of long-lived quantum states of mechanical motion.
TL;DR: This chapter discusses circuits, electronics, and principles of electromechanics as well as some of the topics covered in the chapter on electronics.
Abstract: 1 Introduction to Electrical Engineering Part I - Circuits 2 - Fundamentals of Electric Circuits 3 - Resistive Network Analysis 4 - AC Network Analysis 5 - Transient Analysis 6 - Frequency Response and System Concepts 7 - AC Power Part II - Electronics 8 - Operational Amplifiers 9 - Semiconductors and Diodes 10 - Bipolar Junction Transistors: Operation, Circuit Models, and Applications 11 - Field-Effect Transistors: Operation, Circuit Models, and Applications 12 - Power Electronics 13 - Digital Logic Circuits 14 - Digital Systems Part III - Instrumentation and Communication Systems 15 - Electronic Instrumentation and Measurements 16 - Analog Communication Systems 17 - Digital Communications Part IV - Electromechanics 18 - Principles of Electromechanics 19 - Introduction to Electric Machines 20 - Special-Purpose Electric Machines Appendices Appendix A - Linear Algebra and Complex Numbers Appendix B - The Laplace Transform Appendix C - Fundamentals of Engineering (FE) Examination Appendix D - Answers to Selected
TL;DR: In this article, a phonon cavity from different oscillating modes of the resonator is used to investigate physics not accessible in their analogous, but better developed, quantum-optics counterpart.
Abstract: Conventional approaches to optomechanics control and monitor the motion of nanoscale mechanical resonators by coupling it to a high-quality photonic cavity. An all-mechanical implementation is now demonstrated by creating a so-called phonon cavity from different oscillating modes of the resonator. This idea opens a route to using solid-state systems to investigate physics not accessible in their analogous, but better developed, quantum-optics counterpart.
TL;DR: The physical model of pull-in voltage, dynamic characteristic analysis, air damping effect, reliability, numerical modeling method, and application of electrostatic-driven MEMS devices are introduced.
Abstract: Electrostatic-driven microelectromechanical systems devices, in most cases, consist of couplings of such energy domains as electromechanics, optical electricity, thermoelectricity, and electromagnetism. Their nonlinear working state makes their analysis complex and complicated. This article introduces the physical model of pull-in voltage, dynamic characteristic analysis, air damping effect, reliability, numerical modeling method, and application of electrostatic-driven MEMS devices.