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

Stephen Rand

Published in print:
2010
Published Online:
September 2010
ISBN:
9780199574872
eISBN:
9780191722219
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199574872.001.0001
Subject:
Physics, Atomic, Laser, and Optical Physics

This book attempts to bridge the enormous gap between introductory quantum mechanics and the research front of modern optics and scientific fields that make use of light in one step. Hence, while it ... More


The Hartree–Fock approximation

Helmut Hofmann

in The Physics of Warm Nuclei: with Analogies to Mesoscopic Systems

Published in print:
2008
Published Online:
September 2008
ISBN:
9780198504016
eISBN:
9780191708480
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198504016.003.0020
Subject:
Physics, Nuclear and Plasma Physics

This chapter formulates the Hartree-Fock approximation with density matrices, and discusses the properties of the Hartree-Fock equations together with the energy functional for the ground state ... More


The Hanle effect and the theory of resonance fluorescence experiments

Alan Corney

in Atomic and Laser Spectroscopy

Published in print:
2006
Published Online:
September 2007
ISBN:
9780199211456
eISBN:
9780191705915
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199211456.003.0015
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter provides an account of atomic resonance fluorescence and its depolarization by external magnetic fields, also known as the Hanle effect. Experiments in mercury vapour and their ... More


Quantum Probability

Heinz-Peter Breuer and Francesco Petruccione

in The Theory of Open Quantum Systems

Published in print:
2007
Published Online:
February 2010
ISBN:
9780199213900
eISBN:
9780191706349
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199213900.003.02
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter develops the fundamental notions and concepts of the probabilistic and statistical interpretation of quantum mechanics. It begins with a brief review of the mathematical structure given ... More


Probability Distributions on Hilbert Space

Heinz-Peter Breuer and Francesco Petruccione

in The Theory of Open Quantum Systems

Published in print:
2007
Published Online:
February 2010
ISBN:
9780199213900
eISBN:
9780191706349
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199213900.003.05
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter characterizes the statistical properties of a quantum mechanical ensemble in terms of a density matrix. However, if selective measurements of one or several observables are carried out ... More


Optical double resonance experiments

Alan Corney

in Atomic and Laser Spectroscopy

Published in print:
2006
Published Online:
September 2007
ISBN:
9780199211456
eISBN:
9780191705915
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199211456.003.0016
Subject:
Physics, Atomic, Laser, and Optical Physics

This chapter explains the excitation of atoms by polarized resonance radiation and their interaction with static and radio-frequency fields, known as optical double-resonance. The Brossel-Bitter ... More


Fundamentals

Bernhard Blümich

in NMR Imaging of Materials

Published in print:
2003
Published Online:
January 2010
ISBN:
9780198526766
eISBN:
9780191709524
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198526766.003.0002
Subject:
Physics, Condensed Matter Physics / Materials

Nuclear magnetic resonance (NMR) exploits the interaction of nuclei with magnetic fields. A strong static field is applied to polarise the nuclear magnetic moments, time-dependent magnetic radio ... 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


COHERENCE AND DECOHERENCE

Dante Gatteschi, Roberta Sessoli, and Jacques Villain

in Molecular Nanomagnets

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198567530
eISBN:
9780191718298
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198567530.003.0011
Subject:
Physics, Condensed Matter Physics / Materials

This chapter focuses on coherence and decoherence, starting from the basis of quantum mechanics and including the classical paradox of Schrödinger’s cat and entanglement. Decoherence and relaxation ... More


Basic Tools For Quantum Mechanics

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/9780198504009.003.0002
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter reminds, without entering into details, the main mathematical concepts and results relevant for finite system quantum mechanics. The basic postulates single out a Hilbert space of wave ... More


Quantum description of nuclear ensembles

Paul T. Callaghan

in Translational Dynamics and Magnetic Resonance: Principles of Pulsed Gradient Spin Echo NMR

Published in print:
2011
Published Online:
December 2013
ISBN:
9780199556984
eISBN:
9780191774928
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199556984.003.0003
Subject:
Physics, Condensed Matter Physics / Materials, Nuclear and Plasma Physics

This chapter outlines the quantum ideas that underpin magnetic resonance and explains their link to classical physics. It discusses some of the essential concepts governing the quantum behaviour of ... More


Equilibrium Statistical Mechanics and Thermodynamics

T. Grandy Walter

in Entropy and the Time Evolution of Macroscopic Systems

Published in print:
2008
Published Online:
September 2008
ISBN:
9780199546176
eISBN:
9780191720161
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199546176.003.0004
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter applies the theoretical tolls developed in Chapter 3 to macroscopic systems in thermal equilibrium, wherein the Gibbs variational principle is understood as defining the equilibrium ... More


Sources and Time-Dependent Processes

T. Grandy Walter

in Entropy and the Time Evolution of Macroscopic Systems

Published in print:
2008
Published Online:
September 2008
ISBN:
9780199546176
eISBN:
9780191720161
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199546176.003.0008
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter analyses time evolution in macroscopic systems, and critiques the standard equation of motion for the density matrix. The practical difference between microscopic and macroscopic ... More


Numerical methods in the study of nonequilibrium strongly interacting quantum many-body physics

Ulrich Schollwöck

in Strongly Interacting Quantum Systems out of Equilibrium: Lecture Notes of the Les Houches Summer School: Volume 99, August 2012

Published in print:
2016
Published Online:
August 2016
ISBN:
9780198768166
eISBN:
9780191821905
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198768166.003.0004
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter provides a detailed description of the numerical algorithms used to study open and closed quantum systems out of equilibrium. In a first step, the physical formulas to be evaluated ... More


Foundations

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/9780198563617.003.0001
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter presents the basic elements of quantum theory, including the Dirac bra and ket notation for quantum states, Hermitian operators and their eigenstates, commutators and the Schrödinger and ... More


Spin Chains

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/9780198504009.003.0004
Subject:
Physics, Theoretical, Computational, and Statistical Physics

This chapter introduces quantum spin chains for two different purposes: prototypes of infinite quantum systems discretized in space, and general models of stochastic processes in discrete time on a ... More


Transport models

Jérôme Faist

in Quantum Cascade Lasers

Published in print:
2013
Published Online:
May 2013
ISBN:
9780198528241
eISBN:
9780191755545
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198528241.003.0012
Subject:
Physics, Condensed Matter Physics / Materials

Unlike other optoelectronic devices, quantum cascade lasers (QCLs) cannot be described by simple drift-diffusion equation. Whereas in interband semiconductor lasers the assumption of separate ... More


Atom–Field Interactions

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/9780198757450.003.0003
Subject:
Physics, Atomic, Laser, and Optical Physics

Chapter 3 discusses the interaction Hamiltonian, which determines the way that light interacts with matter. Simple perturbative analysis is applied to see if basic dynamics of atoms can be explained. ... More


Composite Systems, Interaction, and Measurement

Bas C. van Fraassen

in Quantum Mechanics: An Empiricist View

Published in print:
1991
Published Online:
November 2003
ISBN:
9780198239802
eISBN:
9780191597466
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0198239807.003.0007
Subject:
Philosophy, Philosophy of Science

The three main issues in the foundations of quantum theory are measurement, non‐locality, and identical particles (quantum statistics). All of these pertain to the relations between different parts ... More


Detailed Theory of Nonlinear Susceptibilities

Guang S. He

in Nonlinear Optics and Photonics

Published in print:
2014
Published Online:
December 2014
ISBN:
9780198702764
eISBN:
9780191772368
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198702764.003.0018
Subject:
Physics, Atomic, Laser, and Optical Physics

Nonlinear susceptibilities of optical media are the key parameters to describe various nonlinear optical effects and phenomena within the framework of semiclassical theory. In this chapter, explicit ... More


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