Stephen M. Barnett's Books

Optical Angular Momentum

By: L. Allen,Stephen M. Barnett,Miles J. Padgett

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Optical Angular Momentum

By: L. Allen,Stephen M. Barnett,Miles J. Padgett

Spin angular momentum of photons and the associated polarization of light has been known for many years. However, it is only over the last decade or so that physically realizable laboratory light beams have been used to study the orbital angular momentum of light. In many respects, orbital and spin angular momentum behave in a similar manner, but t

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Page Count

316

Publisher

CRC Press

Published Date

ISBN 10

1482269015

ISBN 13

9781482269017

Phase Space Methods for Degenerate Quantum Gases

By: Bryan J. Dalton,John Jeffers (Physicist),Stephen M. Barnett

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Phase Space Methods for Degenerate Quantum Gases

By: Bryan J. Dalton,John Jeffers (Physicist),Stephen M. Barnett

Recent experimental progress has enabled cold atomic gases to be studied at nano-kelvin temperatures, creating new states of matter where quantum degeneracy occurs - Bose-Einstein condensates and degenerate Fermi gases. Such quantum states are of macroscopic dimensions. This book presents the phase space theory approach for treating the physics of degenerate quantum gases, an approach already widely used in quantum optics. However, degenerate quantum gases involve massive bosonic and fermionic atoms, not massless photons. The book begins with a review of Fock states for systems of identical atoms, where large numbers of atoms occupy the various single particle states or modes. First, separate modes are considered, and here the quantum density operator is represented by a phase space distribution function of phase space variables which replace mode annihilation, creation operators, the dynamical equation for the density operator determines a Fokker-Planck equation for the distribution function, and measurable quantities such as quantum correlation functions are given as phase space integrals. Finally, the phase space variables are replaced by time dependent stochastic variables satisfying Langevin stochastic equations obtained from the Fokker-Planck equation, with stochastic averages giving the measurable quantities. Second, a quantum field approach is treated, the density operator being represented by a distribution functional of field functions which replace field annihilation, creation operators, the distribution functional satisfying a functional FPE, etc. A novel feature of this book is that the phase space variables for fermions are Grassmann variables, not c-numbers. However, we show that Grassmann distribution functions and functionals still provide equations for obtaining both analytic and numerical solutions. The book includes the necessary mathematics for Grassmann calculus and functional calculus, and detailed derivations of key results are provided.

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Page Count

433

Publisher

International Monographs on Ph

Published Date

ISBN 10

0199562741

ISBN 13

9780199562749

Methods in Theoretical Quantum Optics

By: Stephen Barnett,Paul M. Radmore

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Methods in Theoretical Quantum Optics

By: Stephen Barnett,Paul M. Radmore

This work presents the mathematical methods widely used by workers in the field of quantum optics. It deals with the physical assumptions which lead to the models and approximations employed, but the main purpose of the text is to give a firm grounding in those techniques needed to derive analytical solutions to problems.

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Page Count

302

Publisher

Oxford University Press

Published Date

ISBN 10

0198563612

ISBN 13

9780198563617

Quantum Information

By: Stephen Barnett

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Quantum Information

By: Stephen Barnett

Quantum information is an area of science, which brings together physics, information theory, computer science & mathematics. This book, which is based on two successful lecture courses, is intended to introduce readers to the ideas behind new developments including quantum cryptography, teleportation & quantum computing.

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Page Count

313

Publisher

Oxford University Press

Published Date

ISBN 10

0198527624

ISBN 13

9780198527626

Methods in Theoretical Quantum Optics

By: Stephen M. Barnett,P. M. Radmore

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Methods in Theoretical Quantum Optics

By: Stephen M. Barnett,P. M. Radmore

This book is aimed at those readers who already have some knowledge of mathematical methods and have also been introduced to the basic ideas of quantum optics. It should be attractive to students who have already explored one of the more introductory texts such as Loudon's The quantum theoryof light (2/e, 1983, OUP) and are seeking to acquire the mathematical skills used in real problems. This book is not primarily about the physics of quantum optics but rather presents the mathematical methods widely used by workers in this field. There is no comparable book which covers either therange or the depth of mathematical techniques.

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Page Count

284

Publisher

Oxford University Press on Demand

Published Date

ISBN 10

0198563620

ISBN 13

9780198563624

Book's by Stephen M. Barnett

Optical Angular Momentum

Optical Angular Momentum

Phase Space Methods for Degenerate Quantum Gases

Phase Space Methods for Degenerate Quantum Gases

Methods in Theoretical Quantum Optics

Methods in Theoretical Quantum Optics

Quantum Information

Quantum Information

Methods in Theoretical Quantum Optics

Methods in Theoretical Quantum Optics

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