## 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

## 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

## 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

## 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

## 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

## 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

## 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

## Quantum statistical mechanics

*James P. Sethna*

### in Statistical Mechanics: Entropy, Order Parameters, and Complexity: Second Edition

- Published in print:
- 2021
- Published Online:
- April 2021
- ISBN:
- 9780198865247
- eISBN:
- 9780191897610
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198865247.003.0007
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

Quantum statistical mechanics governs metals, semiconductors, and neutron stars. Statistical mechanics spawned Planck’s invention of the quantum, and explains Bose condensation, superfluids, and ... 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

## The Density Matrix: Bloch Equations

*Duncan G. Steel*

### in Introduction to Quantum Nanotechnology: A Problem Focused Approach

- Published in print:
- 2021
- Published Online:
- July 2021
- ISBN:
- 9780192895073
- eISBN:
- 9780191924149
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780192895073.003.0018
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics, Condensed Matter Physics / Materials

One of the most powerful tools for calculating quantum device performance is based on the density matrix operator. The operator is unique because it is time dependent in the Schrödinger picture. The ... 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