Phase Space Methods For Degenerate Quantum Gases
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Phase Space Methods For Degenerate Quantum Gases
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Author : Bryan J. Dalton
language : en
Publisher: International Monographs on Ph
Release Date : 2015
Phase Space Methods For Degenerate Quantum Gases written by Bryan J. Dalton and has been published by International Monographs on Ph this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Science categories.
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.
Phase Space Methods For Degenerate Quantum Gases
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Author : Chester Sanchez
language : en
Publisher:
Release Date : 2017-04-25
Phase Space Methods For Degenerate Quantum Gases written by Chester Sanchez and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-25 with categories.
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 measurablequantities such as quantum correlation functions are given as phase space integrals.
Phase Space Methods For Degenerate Quantum Gases
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Author : Merlin Musial
language : en
Publisher:
Release Date : 2017-05-08
Phase Space Methods For Degenerate Quantum Gases written by Merlin Musial and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-08 with categories.
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.
Quantum Gases
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Author : Nick Proukakis
language : en
Publisher: World Scientific
Release Date : 2013
Quantum Gases written by Nick Proukakis and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Science categories.
This volume provides a broad overview of the principal theoretical techniques applied to non-equilibrium and finite temperature quantum gases. Covering Bose-Einstein condensates, degenerate Fermi gases, and the more recently realised exciton-polariton condensates, it fills a gap by linking between different methods with origins in condensed matter physics, quantum field theory, quantum optics, atomic physics, and statistical mechanics.
Quantum Statistical Field Theory
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Author : Norman J. Morgenstern Horing
language : en
Publisher: Oxford University Press
Release Date : 2017-09-22
Quantum Statistical Field Theory written by Norman J. Morgenstern Horing and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-22 with Science categories.
This book provides an introduction to the methods of coupled quantum statistical field theory and Green's functions. The methods of coupled quantum field theory have played a major role in the extensive development of nonrelativistic quantum many-particle theory and condensed matter physics. This introduction to the subject is intended to facilitate delivery of the material in an easily digestible form to advanced undergraduate physics majors at a relatively early stage of their scientific development. The main mechanism to accomplish this is the early introduction of variational calculus and the Schwinger Action Principle, accompanied by Green's functions. Important achievements of the theory in condensed matter and quantum statistical physics are reviewed in detail to help develop research capability. These include the derivation of coupled field Green's function equations-of-motion for a model electron-hole-phonon system, extensive discussions of retarded, thermodynamic and nonequilibrium Green's functions and their associated spectral representations and approximation procedures. Phenomenology emerging in these discussions include quantum plasma dynamic-nonlocal-screening, plasmons, polaritons, linear electromagnetic response, excitons, polarons, phonons, magnetic Landau quantization, van der Waals interactions, chemisorption, etc. Considerable attention is also given to low dimensional and nanostructured systems, including quantum wells, wires, dots and superlattices, as well as materials having exceptional conduction properties such as Superconductors, Superfluids and Graphene.
Quantum Field Theory And Critical Phenomena
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Author : Jean Zinn-Justin
language : en
Publisher: Oxford University Press
Release Date : 2021
Quantum Field Theory And Critical Phenomena written by Jean Zinn-Justin and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Science categories.
This work provides a systematic introduction to quantum field theory and renormalization group, as applied to particle physics and continuous macroscopic phase transitions.
Field Theoretic Simulations In Soft Matter And Quantum Fluids
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Author : Glenn H. Fredrickson
language : en
Publisher: Oxford University Press
Release Date : 2023
Field Theoretic Simulations In Soft Matter And Quantum Fluids written by Glenn H. Fredrickson and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with Science categories.
Intro -- cover -- Titlepage -- copyright -- preface -- Acknowledgements -- contents -- Introduction -- Mathematical preliminaries -- Functional notation -- Functional calculus -- Gaussian integrals -- Delta functions and functionals -- Phenomenological field theories -- Molecularly-informed field theories -- Auxiliary field representation -- Coherent states representation -- Continuous polymer chains -- Bosonic quantum field theory -- Classical Equilibrium Theory: Particles to Fields -- Classical monatomic fluids -- Density-explicit, auxiliary field representation -- Auxiliary field representation -- Auxiliary fields: potentials and smearing -- Auxiliary fields: multiple components -- Electrostatic interactions -- Polymers and soft matter -- Linear homopolymer melts and solutions -- Coherent states representation -- Continuous polymer chains -- Other chain architectures -- Multicomponent polymers and soft matter -- Charged polymers -- Quantum Equilibrium Theory: Particles to Fields -- Particle representation and Feynman path integrals -- Imposition of Bose symmetry -- Path integral Monte Carlo -- Coherent states field theory representation -- Second quantization -- Coherent states -- Coherent states path integral -- Field operators -- Other ensembles and external potentials -- Canonical ensemble -- External potentials and artificial gauge fields -- Quantum lattice models -- Quantum spin models -- Numerical Methods for Field Operations -- Cells and boundary conditions -- Pseudo-spectral methods -- Periodic boundary conditions -- Non-periodic boundary conditions -- Modified diffusion equation -- Higher spatial dimensions -- Discrete chain models -- Parallel computing and GPUs -- Hardware trends -- Software implementation -- Numerical Methods for Field-Theoretic Simulations -- Mean-field solutions -- Root-finding versus optimization.
Electromagnetics Of Superconductor Paramagnet Heterostructures
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Author : Yuri Genenko
language : en
Publisher: Oxford University Press
Release Date : 2025-01-03
Electromagnetics Of Superconductor Paramagnet Heterostructures written by Yuri Genenko and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-03 with Science categories.
Conditioning of magnetic fields is a novel route to improve type-II superconductor performance in high-current and high-field applications directed at increasing the current-carrying capability and the critical fields of superconductor/paramagnet heterostructures, as well as reducing their hysteretic AC loss. Through a methodical analysis and noteworthy solutions, Electromagnetics of Superconductor/Paramagnet Heterostructures presents a phenomenological account of the remarkable electromagnetic properties of superconductor paramagnet heterostructures, as captured by Maxwell's electrodynamics, generalized London theory, and Bean's model of the critical state. Beginning with the introduction of the basic concepts of superconductivity which are necessary for understanding of the following studies, exact closed-form solutions are revealed for a range of idealized heterostructures. Investigations of the superconductor constituents primarily focus on strips or tapes, filaments and tubes, with a transport current imposed or a magnetic field applied. Geometrical as well as materials aspects of both the magnetic shielding effect and the hysteretic AC loss undergo detailed analysis which permits identification of the conditions for non-dissipative critical, or even overcritical, states to exist. Crucial issues such as the barrier against the penetration of magnetic flux at superconductor/paramagnet interfaces or the nucleation of magnetic vortex loops equally find their place. Finally, based on the magnetostatic-electrostatic analogues, the finite-element simulations of the Meissner state and the critical state of thin superconductors in paramagnetic environments of arbitrary shape and permeability are performed. This presents an effective tool for designing superconductor/paramagnet heterostructures.
Geometry Of Black Holes
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Author : Piotr T. Chruściel
language : en
Publisher:
Release Date : 2020
Geometry Of Black Holes written by Piotr T. Chruściel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Mathematics categories.
Black holes present one of the most fascinating predictions of Einstein's general relativity, with strong evidence of their existence through observations of many means. The book provides a wide background to the current research on all mathematical aspects of the geometry of black hole spacetimes.
Calorimetry
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Author : Richard Wigmans
language : en
Publisher: Oxford University Press
Release Date : 2017-10-06
Calorimetry written by Richard Wigmans and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-06 with Science categories.
Particle physics is the science that pursues the age-old quest for the innermost structure of matter and the fundamental interactions between its constituents. Modern experiments in this field rely increasingly on calorimetry, a detection technique in which the particles of interest are absorbed in the detector. Calorimeters are very intricate instruments. Their performance characteristics depend on subtle, sometimes counter-intuitive design details. Written by one of the world's foremost experts, Calorimetry is the first comprehensive text on this topic. It provides a fundamental and systematic introduction to calorimetry. It describes the state of the art in terms of both the fundamental understanding of calorimetric particle detection, and the actual detectors that have been or are being built and operated in experiments. The last chapter discusses landmark scientific discoveries in which calorimetry has played an important role. This book summarizes and puts into perspective the work described in some 900 scientific papers, listed in the bibliography. This second edition emphasizes new developments that have taken place since the first edition appeared in 2000.