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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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