Recent experimental progress has enabled cold atomic gases to be studied at nanokelvin temperatures, creating new states of matter where quantum degeneracy occurs—Bose–Einstein condensates and degenerate Fermi gases. Such quantum states are of macroscopic dimensions. As its title suggests, this book presents the phase space theory approach to 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 syst ... More

*Keywords: *
boson,
fermion,
identical massive particles,
mode,
field,
distribution function,
quantum correlation function,
Fokker–Planck equation,
Langevin stochastic equation,
Grassmann algebra,
Grassmann calculus

Print publication date: 2014 | Print ISBN-13: 9780199562749 |

Published to Oxford Scholarship Online: April 2015 | DOI:10.1093/acprof:oso/9780199562749.001.0001 |

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## Front Matter

## End Matter

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Appendix A Fermion Anticommutation Rules

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Appendix B Markovian Master Equation

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Appendix C Grassmann Calculus

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Appendix D Properties of Coherent States

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Appendix E Phase Space Distributions for Bosons and Fermions

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Appendix F Fokker–Planck Equations

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Appendix G Langevin Equations

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Appendix H Functional Calculus for Restricted Boson and Fermion Fields

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Appendix I Applications to Multi-Mode Systems

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References

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Index