Elements of quantum optics / Pierre Meystre, Murray Sargent III.

Format:

Book

Author/Creator:

Meystre, Pierre.

Contributor:

Sargent, Murray.

Jessie A. Rodman Fund.

Language:

English

Subjects (All):

Quantum optics.

Physical Description:

xii, 507 pages : illustrations ; 24 cm

Edition:

Fourth edition.

Place of Publication:

Berlin ; New York : Springer, [2007]

Summary:

Elements of Quantum Optics gives a self-contained and broad coverage of the basic elements necessary to understand and carry out research in laser physics and quantum optics, including a review of basic quantum mechanics and pedagogical introductions to system-reservoir interactions and to second quantization. The text reveals the close connection between many seemingly unrelated topics, such as probe absorption, four-wave mixing, optical instabilities, resonance fluorescence and squeezing. It also comprises discussions of cavity quantum electrodynamics and atom optics. The 4th edition includes a new chapter on quantum entanglement and quantum information, as well as added discussions of the quantum beam splitter, electromagnetically induced transparency, slow light, and the input-output formalism needed to understand many problems in quantum optics. It also provides an expanded treatment of the minimum-coupling Hamiltonian and a simple derivation of the Gross-Pitaevskii equation, an important gateway to research in ultracold atoms and molecules.

Contents:

1 Classical Electromagnetic Fields 1

1.1 Maxwell's Equations in a Vacuum 2

1.2 Maxwell's Equations in a Medium 4

1.3 Linear Dipole Oscillator 10

1.4 Coherence 17

1.5 Free-Electron Lasers 22

2 Classical Nonlinear Optics 35

2.1 Nonlinear Dipole Oscillator 35

2.2 Coupled-Mode Equations 38

2.3 Cubic Nonlinearity 40

2.4 Four-Wave Mixing with Degenerate Pump Frequencies 43

2.5 Nonlinear Susceptibilities 48

3 Quantum Mechanical Background 51

3.1 Review of Quantum Mechanics 52

3.2 Time-Dependent Perturbation Theory 64

3.3 Atom-Field Interaction for Two-Level Atoms 71

3.4 Simple Harmonic Oscillator 82

4 Mixtures and the Density Operator 93

4.1 Level Damping 94

4.2 The Density Matrix 98

4.3 Vector Model of Density Matrix 106

5 CW Field Interactions 117

5.1 Polarization of Two-Level Medium 117

5.2 Inhomogeneously Broadened Media 124

5.3 Counterpropagating Wave Interactions 129

5.4 Two-Photon Two-Level Model 133

5.5 Polarization of Semiconductor Gain Media 139

6 Mechanical Effects of Light 151

6.1 Atom-Field Interaction 152

6.2 Doppler Cooling 157

6.3 The Near-Resonant Kapitza-Dirac Effect 158

6.4 Atom Interferometry 166

7 Introduction to Laser Theory 171

7.1 The Laser Self-Consistency Equations 172

7.2 Steady-State Amplitude and Frequency 175

7.3 Standing-Wave, Doppler-Broadened Lasers 181

7.4 Two-Mode Operation and the Ring Laser 187

7.5 Mode Locking 191

7.6 Single-Mode Semiconductor Laser Theory 194

7.7 Transverse Variations and Gaussian Beams 198

8 Optical Bistability 209

8.1 Simple Theory of Dispersive Optical Bistability 210

8.2 Absorptive Optical Bistability 215

8.3 Ikeda Instability 217

9 Saturation Spectroscopy 223

9.1 Probe Wave Absorption Coefficient 224

9.2 Coherent Dips and the Dynamic Stark Effect 230

9.3 Inhomogeneously Broadened Media 238

9.4 Three-Level Saturation Spectroscopy 241

9.5 Dark States and Electromagnetically Induced Transparency 244

10 Three and Four Wave Mixing 249

10.1 Phase Conjugation in Two-Level Media 250

10.2 Two-Level Coupled Mode Coefficients 253

10.3 Modulation Spectroscopy 255

10.4 Nondegenerate Phase Conjugation by Four-Wave Mixing 259

11 Time-Varying Phenomena in Cavities 263

11.1 Relaxation Oscillations in Lasers 264

11.2 Stability of Single-Mode Laser Operation 267

11.3 Multimode Mode Locking 271

11.4 Single-Mode Laser and the Lorenz Model 274

12 Coherent Transients 281

12.1 Optical Nutation 282

12.2 Free Induction Decay 284

12.3 Photon Echo 285

12.4 Ramsey Fringes 288

12.5 Pulse Propagation and Area Theorem 289

12.6 Self-Induced Transparency 293

12.7 Slow Light 295

13 Field Quantization 299

13.1 Single-Mode Field Quantization 299

13.2 Multimode Field Quantization 302

13.3 Single-Mode Field in Thermal Equilibrium 304

13.4 Coherent States 307

13.5 Coherence of Quantum Fields 311

13.6 Quasi-Probability Distributions 314

13.7 Schrodinger Field Quantization 318

13.8 The Gross-Pitaevskii Equation 322

14 Interaction Between Atoms and Quantized Fields 327

14.1 Dressed States 328

14.2 Jaynes-Cummings Model 333

14.3 Spontaneous Emission in Free Space 338

14.4 Quantum Beats 344

15 System-Reservoir Interactions 351

15.1 Master Equation 353

15.2 Fokker-Planck Equation 362

15.3 Langevin Equations 364

15.4 Monte-Carlo Wave Functions 369

15.5 Quantum Regression Theorem and Noise Spectra 374

16 Resonance Fluorescence 383

16.1 Phenomenology 384

16.2 Langevin Equations of Motion 387

16.3 Scattered Intensity and Spectrum 390

16.4 Connection with Probe Absorption 396

16.5 Photon Antibunching 400

16.6 Off-Resonant Excitation 403

17 Squeezed States of Light 409

17.1 Squeezing the Coherent State 410

17.2 Two-Sidemode Master Equation 414

17.3 Two-Mode Squeezing 417

17.4 Squeezed Vacuum 421

18 Cavity Quantum Electrodynamics 427

18.1 Generalized Master Equation for the Atom-Cavity System 428

18.2 Weak Coupling Regime 430

18.3 Strong Coupling Regime 432

18.4 Velocity-Dependent Spontaneous Emission 435

18.5 Input-Output Formalism 440

19 Quantum Theory of a Laser 445

19.1 The Micromaser 447

19.2 Single Mode Laser Master Equation 454

19.3 Laser Photon Statistics and Linewidth 460

19.4 Quantized Sidemode Buildup 468

20 Entanglement, Bell Inequalities and Quantum Information 473

20.1 Einstein-Podolsky-Rosen Paradox and Bell Inequalities 473

20.2 Bipartite Entanglement 477

20.3 The Quantum Beam Splitter 480

20.4 Quantum Teleportation 483

20.5 Quantum Cryptography 484

20.6 Toward Quantum Computing 486.

Notes:

Includes bibliographical references and index.

Local Notes:

Acquired for the Penn Libraries with assistance from the Jessie A. Rodman Fund.

ISBN:

9783540742098

3540742093

OCLC:

173807357