Quantum Optomechanics: 1st Edition (Hardback) book cover

Quantum Optomechanics

1st Edition

By Warwick P. Bowen, Gerard J. Milburn

CRC Press

358 pages | 80 B/W Illus.

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pub: 2015-12-22
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Description

Written by leading experimentalist Warwick P. Bowen and prominent theoretician Gerard J. Milburn, Quantum Optomechanics discusses modern developments in this novel field from experimental and theoretical standpoints. The authors share their insight on a range of important topics, including optomechanical cooling and entanglement; quantum limits on measurement precision and how to overcome them via back-action evading measurements; feedback control; single photon and nonlinear optomechanics; optomechanical synchronization; coupling of optomechanical systems to microwave circuits and two-level systems, such as atoms and superconducting qubits; and optomechanical tests of gravitational decoherence.

The book first introduces the basic physics of quantum harmonic oscillators and their interactions with their environment. It next discusses the radiation pressure interaction between light and matter, deriving common Hamiltonians used in quantum optomechanics. It then focuses on the linearized regime of quantum optomechanics before exploring scenarios where the simple linearized picture of quantum optomechanics no longer holds.

The authors move on to hybrid optomechanical systems in which the canonical quantum optomechanical system is coupled to another quantum object. They explain how an alternative form of a hybrid optomechanical system leads to the phenomenon of synchronization. They also consider the impact of quantum optomechanics on tests of gravitational physics.

Reviews

"The alliance between the leading experimentalist Bowen and the prominent theoretician Milburn has produced a substantial text which deserves wide usage…A very strong feature of the book is the examples of practical devices which have been fabricated which may be used to test theoretical ideas and thence to devise novel applications which in turn may require the design of new devices. The co-habitation of such practical aspects with the elegantly presented underlying quantum theory ensures that the reader is aware that quantum optomechanics is a growing reality.

Underlying the future opportunities which can be expected to result from further effort in this field, the authors treat the largely unexplored topic of opto-mechanical synchronisation which is highly pertinent to the development and use of arrays of opto-mechanical systems…This is a stimulating text which offers direct entry into a field rich with both theoretical and experimental challenges."

—K. Alan Shore, Bangor University, School of Electronic Engineering, in Contemporary Physics (Vol. 57, No. 4)

"This is the first graduate-level textbook that deals with the theoretical and experimental aspects of quantum optomechanics—i.e., the quantum effects of the mechanical effects of light…This is a very clearly written book about a subject that is difficult to describe. It is a must-have for anyone studying the quantum effects of light."

—Mircea Dragoman, National Research Institute in Microtechnology, Voluntari, Romania (Optics & Photonics News)

"This is a thorough and thoughtful book. It will be indispensable to people working on optomechanics and its many hybrids. It provides clear and well-written discussions of many topics in quantum optomechanics. It also provides clear and well-written descriptions of how to translate broad concepts from quantum optics into very specific realizations in optomechanical systems."

Jack Harris, Professor of Physics, Yale University

"The field of quantum optomechanics has exploded in the last few years with applications from exploring the relationship between quantum mechanics and gravity to precision sensing and the detection of the weakest signals in the universe. Bowen and Milburn’s book is excellent and timely, introducing the reader to the fundamental concepts and methodologies and their application before probing ideas at a deeper level. With a range of well-set exercises, it will become a must-have advanced textbook as well as a splendid reference for the expert."

David McClelland, Professor of Physics and Director of Centre for Gravitational Physics, The Australian National University

Table of Contents

Quantum Harmonic Oscillators

QUANTISING THE HARMONIC OSCILLATOR

FLUCTUATIONS AND DISSIPATION IN A QUANTUM HARMONIC OSCILLATOR

MODELLING OPEN SYSTEM DYNAMICS VIA QUANTUM LANGEVIN EQUATIONS

QUANTUM LANGEVIN EQUATION WITHIN THE ROTATING WAVE APPROXIMATION

Radiation Pressure Interaction

BASIC RADIATION PRESSURE INTERACTION

EFFECTIVE QUANTISATION

DISPERSIVE OPTOMECHANICS

ELECTRO AND OPTOMECHANICAL SYSTEMS

MECHANICAL AND OPTICAL DECOHERENCE RATES

DYNAMICS OF DISPERSIVE OPTOMECHANICAL SYSTEMS

LINEARISATION OF THE OPTOMECHANICAL HAMILTONIAN

DISSIPATIVE OPTOMECHANICS

Linear Quantum Measurement of Mechanical Motion

FREE MASS STANDARD QUANTUM LIMIT

RADIATION PRESSURE SHOT NOISE

MEASUREMENT OF MECHANICAL MOTION

STANDARD QUANTUM LIMIT ON MECHANICAL POSITION MEASUREMENT

STANDARD QUANTUM LIMIT FOR GRAVITATIONAL WAVE INTERFEROMETRY

STANDARD QUANTUM LIMIT FOR FORCE MEASUREMENT

Coherent Interaction between Light and Mechanics

STRONG COUPLING

OPTICAL COOLING OF MECHANICAL MOTION

OPTOMECHANICALLY INDUCED TRANSPARENCY

OPTOMECHANICAL ENTANGLEMENT

MECHANICAL SQUEEZING OF LIGHT

Linear Quantum Control of Mechanical Motion

STOCHASTIC MASTER EQUATION INCLUDING DISSIPATION

FEEDBACK COOLING

BACK-ACTION EVADING MEASUREMENT

SURPASSING THE STANDARD QUANTUM LIMIT USING SQUEEZED LIGHT

Single Photon Optomechanics

OPTOMECHANICAL PHOTON BLOCKADE

SINGLE PHOTON STATES

SINGLE PHOTON PULSE INCIDENT ON A SINGLE-SIDED OPTOMECHANICAL CAVITY

DOUBLE CAVITY OPTOMECHANICAL SYSTEM

MACROSCOPIC SUPERPOSITION STATES USING SINGLE PHOTON OPTOMECHANICS

Nonlinear Optomechanics

THE DUFFING NONLINEARITY

THE QUANTUM DUFFING OSCILLATOR

NONLINEAR DAMPING

SELF-PULSING AND LIMIT CYCLES

NONLINEAR MEASUREMENT OF A MECHANICAL RESONATOR

Hybrid Optomechanical Systems

ELECTROMECHANICAL SYSTEMS

COUPLING A MECHANICAL RESONATOR AND A TWO-LEVEL SYSTEM

MICROWAVE — OPTICAL INTERFACE

Arrays of Optomechanical Systems

SYNCHRONISATION IN OPTOMECHANICAL ARRAYS

IRREVERSIBLY COUPLED ARRAYS OF OPTOMECHANICAL SYSTEMS

Gravitational Quantum Physics and Optomechanics

WHAT IS GRAVITATIONAL DECOHERENCE?

OPTOMECHANICAL TESTS OF GRAVITATIONAL DECOHERENCE

TESTS OF NONSTANDARD GRAVITATIONAL EFFECTS

USING GEOMETRIC PHASE

Appendix: Linear Detection of Optical Fields

EFFECT OF INEFFICIENCIES

LINEAR DETECTION OF OPTICAL FIELDS

POWER SPECTRAL DENSITY OBTAINED BY HETERODYNE DETECTION

CHARACTERISING THE OPTOMECHANICAL COOPERATIVITY

CHARACTERISING THE TEMPERATURE OF A MECHANICAL OSCILLATOR

About the Authors

Warwick P. Bowen is a professor of physics and Australian Research Council Future Fellow at the University of Queensland. He manages the Quantum Opto- and Nano-mechanics Program of the Australian Research Council Centre of Excellence for Engineered Quantum Systems. He received his PhD in experimental physics from the Australian National University. His current research interests include quantum optomechanics, precision metrology and sensing, and biological applications of quantum measurement.

Gerard J. Milburn is a professor of physics at the University of Queensland and director of the Australian Research Council Centre of Excellence for Engineered Quantum Systems. He received his PhD in theoretical physics from the University of Waikato. His current research interests include quantum optomechanics, superconducting quantum circuits, and quantum control.

Subject Categories

BISAC Subject Codes/Headings:
SCI055000
SCIENCE / Physics
SCI057000
SCIENCE / Quantum Theory
TEC019000
TECHNOLOGY & ENGINEERING / Lasers & Photonics