Quantum optics for engineers : quantum entanglement / F. J. Duarte.

Format:

Book

Author/Creator:

Duarte, F. J. (Frank J.), author.

Language:

English

Subjects (All):

Quantum optics.

Physical Description:

1 online resource (403 pages) : illustrations

Edition:

Second edition.

Place of Publication:

Boca Raton, FL : CRC Press, 2024

Summary:

"The second edition of Quantum Optics for Engineers: Quantum Entanglement is an updated, and extended version of its first edition. New features include a transparent interferometric derivation of the physics for quantum entanglement devoid of mysteries and paradoxes. It also provides a utilitarian matrix version of quantum entanglement apt for engineering applications. Features: introduces quantum entanglement via the Dirac-Feynman interferometric principle, free of paradoxes, provides a practical matrix version of quantum entanglement which is highly utilitarian and useful for engineers, focuses on the physics relevant to quantum entanglement and is coherently and consistently presented via Dirac's notation, illustrates the interferometric quantum origin of fundamental optical principles such as diffraction, refraction, and reflection, and emphasizes mathematical transparency and extends on a pragmatic interpretation of quantum mechanics. The book is written for advanced physics and engineering students, practicing engineers and scientists seeking a workable-practical introduction to quantum optics and quantum entanglement"-- Provided by publisher.

Contents:

Chapter 1 Introduction

1.1 Introduction

1.2 Brief Historical Perspective

1.3 The Principles of Quantum Mechanics

1.4 The Feynman Lectures on Physics

1.5 The Photon

1.6 Quantum Optics

1.7 Quantum Optics for Engineers

1.7.1 Quantum Optics for Engineers: Quantum Entanglement, Second Edition

References

Chapter 2 Planck's Quantum Energy Equation

2.1 Introduction

2.2 Planck's Equation and Wave Optics

2.3 Planck's Constant h

2.3.1 Back to E = hv

Problems

Chapter 3 The Uncertainty Principle

3.1 Heisenberg's Uncertainty Principle

3.2 The Wave-Particle Duality

3.3 The Feynman Approximation

3.1.1 Example

3.4 The Interferometric Approximation

3.5 The Minimum Uncertainty Principle

3.6 The Generalized Uncertainty Principle

3.7 Equivalent Versions of Heisenberg's Uncertainty Principle

3.7.1 Example

3.8 Applications of the Uncertainty Principle in Optics

3.8.1 Beam Divergence

3.8.2 Beam Divergence in Astronomy

3.8.3 The Uncertainty Principle and the Cavity Linewidth Equation

3.8.4 Tuning Laser Microcavities

3.8.5 Nanocavities

Chapter 4 The Dirac-Feynman Quantum Interferometric Principle

4.1 Dirac's Notation in Optics

4.2 The Dirac-Feynman Interferometric Principle

4.3 Interference and the Interferometric Probability Equation

4.3.1 Examples: Double-, Triple-, Quadruple-, and Quintuple-Slit Interference

4.3.2 Geometry of the N-Slit Quantum Interferometer

4.3.3 The Diffraction Grating Equation

4.3.4 N-Slit Interferometer Experiment

4.4 Coherent and Semi-Coherent Interferograms

4.5 The Interferometric Probability Equation in Two and Three Dimensions.

4.6 Classical and Quantum Alternatives

Chapter 5 Interference, Diffraction, Refraction, and Reflection via Dirac's Notation

5.1 Introduction

5.2 Interference and Diffraction

5.2.1 Generalized Diffraction

5.2.2 Positive Diffraction

5.3 Positive and Negative Refraction

5.3.1 Focusing

5.4 Reflection

5.5 Succinct Description of Optics

5.6 Quantum Interference and Classical Interference

Chapter 6 Dirac's Notation Identities

6.1 Useful Identities

6.1.1 Example

6.2 Linear Operations

6.2.1 Example

6.3 Extension to Indistinguishable Quanta Ensembles

Chapter 7 Interferometry via Dirac's Notation

7.1 Interference à la Dirac

7.2 The N-Slit Interferometer

7.3 The Hanbury Brown-Twiss Interferometer

7.4 Beam-Splitter Interferometers

7.4.1 The Mach-Zehnder Interferometer

7.4.2 The Michelson Interferometer

7.4.3 The Sagnac Interferometer

7.4.4 The HOM Interferometer

7.5 Multiple-Beam Interferometers

7.6 The Ramsey Interferometer

Chapter 8 Quantum Interferometric Communications in Free Space

8.1 Introduction

8.2 Theory

8.3 N-Slit Interferometer for Secure Free-Space Quantum Communications

8.4 Interferometric Characters

8.5 Propagation in Terrestrial Free Space

8.5.1 Clear-Air Turbulence

8.6 Additional Applications

8.7 Discussion

Chapter 9 Schrödinger's Equation

9.1 Introduction

9.2 A Heuristic Explicit Approach to Schrödinger's Equation

9.3 Schrödinger's Equation via Dirac's Notation

9.4 The Time-Independent Schrödinger Equation

9.4.1 Quantized Energy Levels

9.4.2 Semiconductor Emission

9.4.3 Quantum Wells

9.4.4 Quantum Cascade Lasers

9.4.5 Quantum Dots

9.5 Nonlinear Schrödinger Equation.

9.6 Discussion

Chapter 10 Introduction to Feynman Path Integrals

10.1 Introduction

10.2 The Classical Action

10.3 The Quantum Link

10.4 Propagation through a Slit and the Uncertainty Principle

10.4.1 Discussion

10.5 Feynman Diagrams in Optics

Chapter 11 Matrix Aspects of Quantum Mechanics and Quantum Operators

11.1 Introduction

11.2 Introduction to Vector and Matrix Algebra

11.2.1 Vector Algebra

11.2.2 Matrix Algebra

11.2.3 Unitary Matrices

11.3 Pauli Matrices

11.3.1 Eigenvalues of Pauli Matrices

11.3.2 Pauli Matrices for Spin One-Half Particles

11.3.3 The Tensor Product

11.4 Introduction to the Density Matrix

11.4.1 Examples

11.4.2 Transitions Via the Density Matrix

11.5 Quantum Operators

11.5.1 The Position Operator

11.5.2 The Momentum Operator

11.5.3 Example

11.5.4 The Energy Operator

11.5.5 The Heisenberg Equation of Motion

Chapter 12 Classical Polarization

12.1 Introduction

12.2 Maxwell Equations

12.2.1 Symmetry in Maxwell Equations

12.3 Polarization and Reflection

12.3.1 The Plane of Incidence

12.4 Jones Calculus

12.4.1 Example

12.5 Polarizing Prisms

12.5.1 Transmission Efficiency in Multiple-Prism Arrays

12.5.2 Induced Polarization in a Double-Prism Beam Expander

12.5.3 Double-Refraction Polarizers

12.5.4 Attenuation of the Intensity of Laser Beams Using Polarization

12.6 Polarization Rotators

12.6.1 Birefringent Polarization Rotators

12.6.2 Example

12.6.3 Broadband Prismatic Polarization Rotators

12.6.4 Example

Chapter 13 Quantum Polarization

13.1 Introduction

13.2 Linear Polarization

13.2.1 Example

13.3 Polarization as a Two-State System

13.3.1 Diagonal Polarization.

13.3.2 Circular Polarization

13.4 Density Matrix Notation

13.4.1 Stokes Parameters and Pauli Matrices

13.4.2 The Density Matrix and Circular Polarization

13.4.3 Example

Chapter 14 Bell's Theorem

14.1 Introduction

14.2 Bell's Theorem

14.3 Quantum Entanglement Probabilities

14.4 Example

14.5 Discussion

Chapter 15 Quantum Entanglement Probability Amplitude for n = N = 2

15.1 Introduction

15.2 The Dirac-Feynman Probability Amplitude

15.3 The Quantum Entanglement Probability Amplitude

15.4 Identical States of Polarization

15.5 Entanglement of Indistinguishable Ensembles

15.6 Discussion

Chapter 16 Quantum Entanglement Probability Amplitude for n = N = 2[sup(1)], 2[sup(2)], 2[sup(3)],…, 2[sup(r)]

16.1 Introduction

16.2 Quantum Entanglement Probability Amplitude for n = N = 4

16.3 Quantum Entanglement Probability Amplitude for n = N = 8

16.4 Quantum Entanglement Probability Amplitude for n = N = 16

16.5 Quantum Entanglement Probability Amplitude for n = N = 2[sup(1)], 2[sup(2)], 2[sup(3)], … 2[sup(r)]

16.5.1 Example

16.6 Summary

Chapter 17 Quantum Entanglement Probability Amplitudes for n= N = 3, 6

17.1 Introduction

17.2 Quantum Entanglement Probability Amplitude for n = N = 3

17.3 Quantum Entanglement Probability Amplitude for n = N = 6

17.4 Discussion

Chapter 18 Quantum Entanglement in Matrix Form

18.1 Introduction

18.2 Quantum Entanglement Probability Amplitudes

18.3 Quantum Entanglement via Pauli Matrices

18.3.1 Example

18.3.2 Pauli Matrices Identities

18.4 Quantum Entanglement via the Hadamard Gate

18.5 Quantum Entanglement Probability Amplitude Matrices.

18.6 Quantum Entanglement Polarization Rotator Mathematics

18.7 Quantum Mathematics via Hadamard's Gate

18.8 Reversibility in Quantum Mechanics

Chapter 19 Quantum Computing in Matrix Notation

19.1 Introduction

19.2 Interferometric Computer

19.3 Classical Logic Gates

19.4 von Neumann Entropy

19.5 Qbits

19.6 Quantum Entanglement via Pauli Matrices

19.7 Rotation of Quantum Entanglement States

19.8 Quantum Gates

19.8.1 Pauli Gates

19.8.2 The Hadamard Gate

19.8.3 The CNOT Gate

19.9 Quantum Entanglement Mathematics via the Hadamard Gate

19.9.1 Example

19.10 Multiple Entangled States

19.11 Discussion

Chapter 20 Quantum Cryptography and Quantum Teleportation

20.1 Introduction

20.2 Quantum Cryptography

20.2.1 Bennett and Brassard Cryptography

20.2.2 Quantum Entanglement Cryptography Using Bell's Theorem

20.2.3 All-Quantum Quantum Entanglement Cryptography

20.3 Quantum Teleportation

Chapter 21 Quantum Measurements

21.1 Introduction

21.1.1 The Two Realms of Quantum Mechanics

21.2 The Interferometric Irreversible Measurements

21.2.1 The Quantum Measurement Mechanics

21.2.2 Additional Irreversible Quantum Measurements

21.3 Quantum Non-demolition Measurements

21.3.1 Soft Probing of Quantum States

21.4 Soft Intersection of Interferometric Characters

21.4.1 Comparison between Theoretical and Measured N-Slit Interferograms

21.4.2 Soft Interferometric Probing

21.4.3 The Mechanics of Soft Interferometric Probing

21.5 On the Quantum Measurer

21.5.1 External Intrusions

21.6 Quantum Entropy

21.7 Discussion

Chapter 22 Quantum Principles and the Probability Amplitude

22.1 Introduction

22.2 Fundamental Principles of Quantum Mechanics.

22.3 Probability Amplitudes.

Notes:

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-003-84569-X

1-003-84568-1

1-003-39870-7

9781003398707

OCLC:

1416091916