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.
"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
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
ELECTRO AND OPTOMECHANICAL SYSTEMS
MECHANICAL AND OPTICAL DECOHERENCE RATES
DYNAMICS OF DISPERSIVE OPTOMECHANICAL SYSTEMS
LINEARISATION OF THE OPTOMECHANICAL HAMILTONIAN
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
OPTICAL COOLING OF MECHANICAL MOTION
OPTOMECHANICALLY INDUCED TRANSPARENCY
MECHANICAL SQUEEZING OF LIGHT
Linear Quantum Control of Mechanical Motion
STOCHASTIC MASTER EQUATION INCLUDING DISSIPATION
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
THE DUFFING NONLINEARITY
THE QUANTUM DUFFING OSCILLATOR
SELF-PULSING AND LIMIT CYCLES
NONLINEAR MEASUREMENT OF A MECHANICAL RESONATOR
Hybrid Optomechanical 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