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## Quantum Optics

*John Garrison and Raymond Chiao*

- Published in print:
- 2008
- Published Online:
- September 2008
- ISBN:
- 9780198508861
- eISBN:
- 9780191708640
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198508861.001.0001
- Subject:
- Physics, Atomic, Laser, and Optical Physics

Quantum optics is the field of physics describing the interaction of individual photons with matter, but in recent years it has expanded beyond pure physics to become an important driving force for ... More

## Operators and States

*STEPHEN M. BARNETT and PAUL M. RADMORE*

### in Methods in Theoretical Quantum Optics

- Published in print:
- 2002
- Published Online:
- February 2010
- ISBN:
- 9780198563617
- eISBN:
- 9780191714245
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198563617.003.0003
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

This chapter is concerned with providing the necessary rules governing the manipulation of the operators and the properties of the states to enable us top model and describe some physical systems. ... More

## Quantized Fields and Coherent States

*Stephen C. Rand*

### in Lectures on Light: Nonlinear and Quantum Optics using the Density Matrix

- Published in print:
- 2010
- Published Online:
- September 2010
- ISBN:
- 9780199574872
- eISBN:
- 9780191722219
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199574872.003.0006
- Subject:
- Physics, Atomic, Laser, and Optical Physics

Chapter 6 begins by transforming the optical wave itself into a quantized form, and the full implications of the wave‐particle duality of Chapter 2 become clear. The electric field may be pictured as ... More

## Particles and the Void

*Laura Ruetsche*

### in Interpreting Quantum Theories

- Published in print:
- 2011
- Published Online:
- September 2011
- ISBN:
- 9780199535408
- eISBN:
- 9780191728525
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199535408.003.0010
- Subject:
- Philosophy, Philosophy of Science

This chapter considers, and finds wanting, several responses to the challenge Chapter 9 announces to interpretations which equip quantum field theory with a particle ontology. One response appeals to ... More

## Deterministic Dynamics

*Robert Alicki and Mark Fannes*

### in Quantum Dynamical Systems

- Published in print:
- 2001
- Published Online:
- February 2010
- ISBN:
- 9780198504009
- eISBN:
- 9780191708503
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198504009.003.0003
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

This chapter presents the basic mathematical facts concerning Schrödinger's equation with constant and time-dependent Hamiltonians: Stone's theorem on strongly continuous one-parameter groups of ... More

## Coherent states

*Tom Lancaster and Stephen J. Blundell*

### in Quantum Field Theory for the Gifted Amateur

- Published in print:
- 2014
- Published Online:
- June 2014
- ISBN:
- 9780199699322
- eISBN:
- 9780191779435
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199699322.003.0028
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology

The chapter describes coherent states which are eigenstates of the annihilation operator. These states do not have a definite number of particles but they can be made to have a well-defined phase and ... More

## Spin

*Victor Galitski, Boris Karnakov, Vladimir Kogan, and Victor Galitski, Jr.*

### in Exploring Quantum Mechanics: A Collection of 700+ Solved Problems for Students, Lecturers, and Researchers

- Published in print:
- 2013
- Published Online:
- December 2013
- ISBN:
- 9780199232710
- eISBN:
- 9780191774973
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199232710.003.0005
- Subject:
- Physics, Atomic, Laser, and Optical Physics

This chapter analyzes problems on spin s = ½; spin-orbital states with spin s = ½ (higher spins); spin density matrix (angular distributions in decays); bound states of spin-orbit-coupled particles; ... More

## Quantum Theory of the Electromagnetic Field

*Peter W. Milonni*

### in An Introduction to Quantum Optics and Quantum Fluctuations

- Published in print:
- 2019
- Published Online:
- April 2019
- ISBN:
- 9780199215614
- eISBN:
- 9780191868689
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780199215614.003.0003
- Subject:
- Physics, Atomic, Laser, and Optical Physics, Particle Physics / Astrophysics / Cosmology

The electromagnetic field is quantized for free space and for dispersive dielectric media. Different quantum states of the field (thermal, laser, squeezed) are discussed and their photon-statistical ... More

## Coherent States and Classical Limit of Quantum Electrodynamics

*Laurent Baulieu, John Iliopoulos, and Roland Sénéor*

### in From Classical to Quantum Fields

- Published in print:
- 2017
- Published Online:
- May 2017
- ISBN:
- 9780198788393
- eISBN:
- 9780191830310
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198788393.003.0022
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

The coherent state formalism is used in order to study the classical limit of quantum theories and, in particular, quantum electrodynamics. It is shown that we can construct states for which the ... More

## Quantized Fields and Coherent States

*Stephen C. Rand*

### in Lectures on Light: Nonlinear and Quantum Optics using the Density Matrix

- Published in print:
- 2016
- Published Online:
- August 2016
- ISBN:
- 9780198757450
- eISBN:
- 9780191817830
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198757450.003.0006
- Subject:
- Physics, Atomic, Laser, and Optical Physics

Chapter 6 transforms the optical wave into a quantized form. The electric field is pictured as an infinite ladder of discrete states: this structure allows optical interactions to be described photon ... More

## Temporal and spectral properties of quantum light

*Birgit Stiller, Ulrich Seyfarth, and Gerd Leuchs*

### in Quantum Optics and Nanophotonics

- Published in print:
- 2017
- Published Online:
- August 2017
- ISBN:
- 9780198768609
- eISBN:
- 9780191822353
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198768609.003.0004
- Subject:
- Physics, Atomic, Laser, and Optical Physics, Particle Physics / Astrophysics / Cosmology

This chapter starts from the classical optics description of a light field and its spectral densities, their measurement, and their interpretation, and discusses how these aspects are related to the ... More

## Optical lattice emulators: Bose– and Fermi–Hubbard models

*E. Duchon, Y. L. Loh, and N. Trivedi*

### in Novel Superfluids: Volume 2

- Published in print:
- 2014
- Published Online:
- March 2015
- ISBN:
- 9780198719267
- eISBN:
- 9780191788529
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198719267.003.0006
- Subject:
- Physics, Condensed Matter Physics / Materials

The equilibrium thermodynamics of bosons and fermions in optical lattices are considered in the single-band Hubbard regime, with an emphasis on interesting magnetic, superfluid, and spin liquid ... More

## Superfluids

*Tom Lancaster and Stephen J. Blundell*

### in Quantum Field Theory for the Gifted Amateur

- Published in print:
- 2014
- Published Online:
- June 2014
- ISBN:
- 9780199699322
- eISBN:
- 9780191779435
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199699322.003.0043
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology

The first condensed matter physics example is the superfluid. The chapter shows how an approximation due to Bogoliubov allows weakly interacting Bose systems to be treated. The quasiparticles are ... More

## Superfluidity and Superconductivity

*Norman J. Morgenstern Horing*

### in Quantum Statistical Field Theory: An Introduction to Schwinger's Variational Method with Green's Function Nanoapplications, Graphene and Superconductivity

- Published in print:
- 2017
- Published Online:
- January 2018
- ISBN:
- 9780198791942
- eISBN:
- 9780191834165
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198791942.003.0013
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

Chapter 13 addresses Bose condensation in superfluids (and superconductors), which involves the field operator ψ having a c-number component (<ψ(x,t)>≠0), challenging number conservation. The ... More

## Classical Limit and Coordinate Representation

*F. Iachello and R. D. Levine*

### in Algebraic Theory of Molecules

- Published in print:
- 1995
- Published Online:
- November 2020
- ISBN:
- 9780195080919
- eISBN:
- 9780197560419
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780195080919.003.0010
- Subject:
- Chemistry, Physical Chemistry

## Lectures on Light: Nonlinear and Quantum Optics using the Density Matrix

*Stephen C. Rand*

- Published in print:
- 2016
- Published Online:
- August 2016
- ISBN:
- 9780198757450
- eISBN:
- 9780191817830
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198757450.001.0001
- Subject:
- Physics, Atomic, Laser, and Optical Physics

This book bridges the gap between introductory quantum mechanics and the research front of modern optics and scientific fields that make use of light. While suitable as a reference for the specialist ... More

## Identical Particles and Second Quantization: Occupation Number Representation

*Norman J. Morgenstern Horing*

### in Quantum Statistical Field Theory: An Introduction to Schwinger's Variational Method with Green's Function Nanoapplications, Graphene and Superconductivity

- Published in print:
- 2017
- Published Online:
- January 2018
- ISBN:
- 9780198791942
- eISBN:
- 9780191834165
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198791942.003.0002
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

Focusing on systems of many identical particles, Chapter 2 introduces appropriate operators to describe their properties in terms of Schwinger’s “measurement symbols.” The latter are then factorized ... More

## Functional Integrals and Probabilistic Amplitudes

*Laurent Baulieu, John Iliopoulos, and Roland Sénéor*

### in From Classical to Quantum Fields

- Published in print:
- 2017
- Published Online:
- May 2017
- ISBN:
- 9780198788393
- eISBN:
- 9780191830310
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198788393.003.0008
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology, Theoretical, Computational, and Statistical Physics

Functional integrals and probabilistic amplitudes. Brief historical notes. The reconstruction of quantum mechanics from path integrals. The Feynman formulation. Definition and properties of the ... More

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