Dynamical Mean Field Theory Approach For Ultracold Atomic Gases

Author : Irakli Titvinidze
Publisher : Sudwestdeutscher Verlag Fur Hochschulschriften AG
ISBN 13 : 9783838120942
Total Pages : 156 pages
Book Rating : 4.49/5 ( download)

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Download or read book Dynamical Mean-Field Theory Approach for Ultracold Atomic Gases written by Irakli Titvinidze and published by Sudwestdeutscher Verlag Fur Hochschulschriften AG. This book was released on 2010-10 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this thesis we have studied the physics of different ultracold Bose-Fermi mixtures in optical lattices, as well as spin 1/2 fermions in a harmonic trap. To study these systems we generalized dynamical mean-field theory for a mixture of fermions and bosons, as well as for an inhomogeneous environment. Generalized dynamical mean-field theory is a method that describes a mixture of fermions and bosons. This method consists of Gutzwiller mean-field for the bosons, and dynamical mean-field theory for the fermions which are coupled on-site by the Bose-Fermi density-density interaction and possibly a Feshbach term which converts a pair of up and down fermions into a molecule, i.e. a boson. Real-space dynamical mean-field theory incorporates the effect of an inhomogeneous environment caused e.g by a harmonic trap. The crucial difference of this generalized formalism to the standard DMFT is that every lattice site is treated differently due to the inhomogeneity in the system. Different sites are coupled by the real-space Dyson equation.

Author : Henk T. C. Stoof
Publisher : Springer Science & Business Media
ISBN 13 : 1402087632
Total Pages : 485 pages
Book Rating : 4.39/5 ( download)

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Download or read book Ultracold Quantum Fields written by Henk T. C. Stoof and published by Springer Science & Business Media. This book was released on 2008-11-30 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: On June 19th 1999, the European Ministers of Education signed the Bologna Dec laration, with which they agreed that the European university education should be uniformized throughout Europe and based on the two cycle bachelor master’s sys tem. The Institute for Theoretical Physics at Utrecht University quickly responded to this new challenge and created an international master’s programme in Theoret ical Physics which started running in the summer of 2000. At present, the master’s programme is a so called prestige master at Utrecht University, and it aims at train ing motivated students to become sophisticated researchers in theoretical physics. The programme is built on the philosophy that modern theoretical physics is guided by universal principles that can be applied to any sub?eld of physics. As a result, the basis of the master’s programme consists of the obligatory courses Statistical Field Theory and Quantum Field Theory. These focus in particular on the general concepts of quantum ?eld theory, rather than on the wide variety of possible applica tions. These applications are left to optional courses that build upon the ?rm concep tual basis given in the obligatory courses. The subjects of these optional courses in clude, for instance, Strongly Correlated Electrons, Spintronics, Bose Einstein Con densation, The Standard Model, Cosmology, and String Theory.

Author : Nick P Proukakis
Publisher : World Scientific
ISBN 13 : 1908979704
Total Pages : 579 pages
Book Rating : 4.04/5 ( download)

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Download or read book Quantum Gases: Finite Temperature And Non-equilibrium Dynamics written by Nick P Proukakis and published by World Scientific. This book was released on 2013-02-21 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 1995 observation of Bose-Einstein condensation in dilute atomic vapours spawned the field of ultracold, degenerate quantum gases. Unprecedented developments in experimental design and precision control have led to quantum gases becoming the preferred playground for designer quantum many-body systems.This self-contained 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. Thematically organised chapters on different methodologies, contributed by key researchers using a unified notation, provide the first integrated view of the relative merits of individual approaches, aided by pertinent introductory chapters and the guidance of editorial notes.Both graduate students and established researchers wishing to understand the state of the art will greatly benefit from this comprehensive and up-to-date review of non-equilibrium and finite temperature techniques in the exciting and expanding field of quantum gases and liquids./a

Author : Maciej Lewenstein
Publisher : OUP Oxford
ISBN 13 : 0191627437
Total Pages : 494 pages
Book Rating : 4.39/5 ( download)

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Download or read book Ultracold Atoms in Optical Lattices written by Maciej Lewenstein and published by OUP Oxford. This book was released on 2012-03-08 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum computers, though not yet available on the market, will revolutionize the future of information processing. Quantum computers for special purposes like quantum simulators are already within reach. The physics of ultracold atoms, ions and molecules offer unprecedented possibilities of control of quantum many body systems and novel possibilities of applications to quantum information processing and quantum metrology. Particularly fascinating is the possibility of using ultracold atoms in lattices to simulate condensed matter or even high energy physics. This book provides a complete and comprehensive overview of ultracold lattice gases as quantum simulators. It opens up an interdisciplinary field involving atomic, molecular and optical physics, quantum optics, quantum information, condensed matter and high energy physics. The book includes some introductory chapters on basic concepts and methods, and then focuses on the physics of spinor, dipolar, disordered, and frustrated lattice gases. It reviews in detail the physics of artificial lattice gauge fields with ultracold gases. The last part of the book covers simulators of quantum computers. After a brief course in quantum information theory, the implementations of quantum computation with ultracold gases are discussed, as well as our current understanding of condensed matter from a quantum information perspective.

Author : Alexander Altland
Publisher : Cambridge University Press
ISBN 13 : 0521769752
Total Pages : 785 pages
Book Rating : 4.54/5 ( download)

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Download or read book Condensed Matter Field Theory written by Alexander Altland and published by Cambridge University Press. This book was released on 2010-03-11 with total page 785 pages. Available in PDF, EPUB and Kindle. Book excerpt: This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.

Author : Paivi Torma
Publisher : World Scientific
ISBN 13 : 1783264772
Total Pages : 339 pages
Book Rating : 4.73/5 ( download)

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Download or read book Quantum Gas Experiments: Exploring Many-body States written by Paivi Torma and published by World Scientific. This book was released on 2014-09-16 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum phenomena of many-particle systems are fascinating in their complexity and are consequently not fully understood and largely untapped in terms of practical applications. Ultracold gases provide a unique platform to build up model systems of quantum many-body physics with highly controlled microscopic constituents. In this way, many-body quantum phenomena can be investigated with an unprecedented level of precision, and control and models that cannot be solved with present day computers may be studied using ultracold gases as a quantum simulator.This book addresses the need for a comprehensive description of the most important advanced experimental methods and techniques that have been developed along with the theoretical framework in a clear and applicable format. The focus is on methods that are especially crucial in probing and understanding the many-body nature of the quantum phenomena in ultracold gases and most topics are covered both from a theoretical and experimental viewpoint, with interrelated chapters written by experts from both sides of research.Graduate students and post-doctoral researches working on ultracold gases will benefit from this book, as well as researchers from other fields who wish to gain an overview of the recent fascinating developments in this very dynamically evolving field. Sufficient level of both detailed high level research and a pedagogical approach is maintained throughout the book so as to be of value to those entering the field as well as advanced researchers. Furthermore, both experimentalists and theorists will benefit from the book; close collaboration between the two are continuously driving the field to a very high level and will be strengthened to continue the important progress yet to be made in the field.

Author : Kathryn Levin
Publisher : Elsevier
ISBN 13 : 0444538577
Total Pages : 226 pages
Book Rating : 4.74/5 ( download)

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Download or read book Ultracold Bosonic and Fermionic Gases written by Kathryn Levin and published by Elsevier. This book was released on 2012-07-30 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: The rapidly developing topic of ultracold atoms has many actual and potential applications for condensed-matter science, and the contributions to this book emphasize these connections. Ultracold Bose and Fermi quantum gases are introduced at a level appropriate for first-year graduate students and non-specialists such as more mature general physicists. The reader will find answers to questions like: how are experiments conducted and how are the results interpreted? What are the advantages and limitations of ultracold atoms in studying many-body physics? How do experiments on ultracold atoms facilitate novel scientific opportunities relevant to the condensed-matted community? This volume seeks to be comprehensible rather than comprehensive; it aims at the level of a colloquium, accessible to outside readers, containing only minimal equations and limited references. In large part, it relies on many beautiful experiments from the past fifteen years and their very fruitful interplay with basic theoretical ideas. In this particular context, phenomena most relevant to condensed-matter science have been emphasized. Introduces ultracold Bose and Fermi quantum gases at a level appropriate for non-specialists Discusses landmark experiments and their fruitful interplay with basic theoretical ideas Comprehensible rather than comprehensive, containing only minimal equations

Author : Società italiana di fisica
Publisher : IOS Press
ISBN 13 : 158603846X
Total Pages : 933 pages
Book Rating : 4.65/5 ( download)

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Download or read book Proceedings of the International School of Physics "Enrico Fermi." written by Società italiana di fisica and published by IOS Press. This book was released on 2007 with total page 933 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of cold atomic gases faced a revolution in 1995 when Bose-Einstein condensation was achieved. The quest for ultra-cold Fermi gases started shortly after the 1995 discovery, and quantum degeneracy in a gas of fermionic atoms was obtained in 1999. This work covers experimental techniques for the creation and study of Fermi quantum gases.

Author : M. Inguscio
Publisher : IOS Press
ISBN 13 : 1607503182
Total Pages : 933 pages
Book Rating : 4.87/5 ( download)

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Download or read book Ultra-cold Fermi Gases written by M. Inguscio and published by IOS Press. This book was released on 2008-04-18 with total page 933 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of cold atomic gases faced a revolution in 1995 when Bose-Einstein condensation was achieved. Since then, there has been an impressive progress, both experimental and theoretical. The quest for ultra-cold Fermi gases started shortly after the 1995 discovery, and quantum degeneracy in a gas of fermionic atoms was obtained in 1999. The Pauli exclusion principle plays a crucial role in many aspects of ultra-cold Fermi gases, including inhibited interactions with applications to precision measurements, and strong correlations. The path towards strong interactions and pairing of fermions opened up with the discovery in 2003 that molecules formed by fermions near a Feshbach resonance were surprisingly stable against inelastic decay, but featured strong elastic interactions. This remarkable combination was explained by the Pauli exclusion principle and the fact that only inelastic collisions require three fermions to come close to each other. The unexpected stability of strongly interacting fermions and fermion pairs triggered most of the research which was presented at this summer school. It is remarkable foresight (or good luck) that the first steps to organize this summer school were already taken before this discovery. It speaks for the dynamics of the field how dramatically it can change course when new insight is obtained. The contributions in this volume provide a detailed coverage of the experimental techniques for the creation and study of Fermi quantum gases, as well as the theoretical foundation for understanding the properties of these novel systems.

Author : Kelin Gao
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110304473
Total Pages : 399 pages
Book Rating : 4.73/5 ( download)

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Download or read book Advances in Precision Laser Spectroscopy written by Kelin Gao and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-06-21 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides extensive and thoroughly exhaustive coverage of precision laser spectroscopy Presents chapters written by recognized experts in their individual fields Topics covered include cold atoms, cold molecules, methods and techniques for production of cold molecules, optical frequency standards based on trapped single ions, etc Applicable for researchers and graduate students of optical physics and precision laser spectroscopy