Download or read book Functional Renormalization and Ultracold Quantum Gases written by Stefan Flörchinger and published by Springer Science & Business Media. This book was released on 2010-09-14 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern techniques from quantum field theory are applied in this work to the description of ultracold quantum gases. This leads to a unified description of many phenomena including superfluidity for bosons and fermions, classical and quantum phase transitions, different dimensions, thermodynamic properties and few-body phenomena as bound state formation or the Efimov effect. The non-perturbative treatment with renormalization group flow equations can account for all known limiting cases by solving one single equation. It improves previous results quantitatively and brings qualitatively new insights. As an example, new quantum phase transitions are found for fermions with three spin states. Ultracold atomic gases can be seen as an interesting model for features of high energy physics and for condensed matter theory. The research reported in this thesis helps to solve the difficult complexity problem in modern theoretical physics.
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.
Download or read book Physics On Ultracold Quantum Gases written by Yongjian Han and published by World Scientific. This book was released on 2018-11-16 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book derives from the content of graduate courses on cold atomic gases, taught at the Renmin University of China and at the University of Science and Technology of China. It provides a brief review on the history and current research frontiers in the field of ultracold atomic gases, as well as basic theoretical description of few- and many-body physics in the system. Starting from the basics such as atomic structure, atom-light interaction, laser cooling and trapping, the book then moves on to focus on the treatment of ultracold Fermi gases, before turning to topics in quantum simulation using cold atoms in optical lattices.The book would be ideal not only for professionals and researchers, but also for familiarizing junior graduate students with the subject and aiding them in their preparation for future study and research in the field.
Download or read book Quantum Gases written by Nick Proukakis and published by World Scientific. This book was released on 2013 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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
Download or read book Physics on Ultracold Quantum Gases written by and published by . This book was released on 2019 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Ultracold Gases and Quantum Information written by Christian Miniatura and published by OUP Oxford. This book was released on 2011-05-05 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, there has been much synergy between the exciting areas of quantum information science and ultracold atoms. This volume, as part of the proceedings for the XCI session of Les Houches School of Physics (held for the first time outside Europe in Singapore) brings together experts in both fields. The theme of the school focused on two principal topics: quantum information science and ultracold atomic physics. The topics range from Bose Einstein Condensates to Degenerate Fermi Gases to fundamental concepts in Quantum Information Sciences, including some special topics on Quantum Hall Effects, Quantum Phase Transition, Interactions in Quantum Fluids, Disorder and Interference Phenomenoma, Trapped Ions and Atoms, and Quantum Optical Devices.
Download or read book Ultracold Gases and Quantum Information written by Christian Miniatura and published by Lecture Notes of the Les Houch. This book was released on 2011-05-05 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since 1951, the prestigious Les Houches summer school has given rigorous graduate programmes in France. In July 2009, the first Les Houches school outside Europe took place in Singapore. This volume gathers the lectures conducted at the four-week school, focused on two exciting key topics: quantum information science and ultracold atomic physics.
Download or read book Quantum Matter at Ultralow Temperatures written by M. Inguscio and published by IOS Press. This book was released on 2016-09-27 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Enrico Fermi summer school on Quantum Matter at Ultralow Temperatures held on 7-15 July 2014 at Varenna, Italy, featured important frontiers in the field of ultracold atoms. For the last 25 years, this field has undergone dramatic developments, which were chronicled by several Varenna summer schools, in 1991 on Laser Manipulation of Atoms, in 1998 on Bose-Einstein Condensation in Atomic Gases, and in 2006 on Ultra-cold Fermi Gases. The theme of the 2014 school demonstrates that the field has now branched out into many different directions, where the tools and precision of atomic physics are used to realise new quantum systems, or in other words, to quantum-engineer interesting Hamiltonians. The topics of the school identify major new directions: Quantum gases with long range interactions, either due to strong magnetic dipole forces, due to Rydberg excitations, or, for polar molecules, due to electric dipole interactions; quantum gases in lower dimensions; quantum gases with disorder; atoms in optical lattices, now with single-site optical resolution; systems with non-trivial topological properties, e.g. with spin-orbit coupling or in artificial gauge fields; quantum impurity problems (Bose and Fermi polarons); quantum magnetism. Fermi gases with strong interactions, spinor Bose-Einstein condensates and coupled multi-component Bose gases or Bose-Fermi mixtures continue to be active areas. The current status of several of these areas is systematically summarized in this volume.
Download or read book Ultracold Atoms in Optical Lattices Simulating quantum many body systems written by Maciej Lewenstein and published by OUP Oxford. This book was released on 2012-03-08 with total page 496 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.
Download or read book Introduction to the Functional Renormalization Group written by Peter Kopietz and published by Springer Science & Business Media. This book was released on 2010-05-03 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, based on a graduate course given by the authors, is a pedagogic and self-contained introduction to the renormalization group with special emphasis on the functional renormalization group. The functional renormalization group is a modern formulation of the Wilsonian renormalization group in terms of formally exact functional differential equations for generating functionals. In Part I the reader is introduced to the basic concepts of the renormalization group idea, requiring only basic knowledge of equilibrium statistical mechanics. More advanced methods, such as diagrammatic perturbation theory, are introduced step by step. Part II then gives a self-contained introduction to the functional renormalization group. After a careful definition of various types of generating functionals, the renormalization group flow equations for these functionals are derived. This procedure is shown to encompass the traditional method of the mode elimination steps of the Wilsonian renormalization group procedure. Then, approximate solutions of these flow equations using expansions in powers of irreducible vertices or in powers of derivatives are given. Finally, in Part III the exact hierarchy of functional renormalization group flow equations for the irreducible vertices is used to study various aspects of non-relativistic fermions, including the so-called BCS-BEC crossover, thereby making the link to contemporary research topics.
Download or read book Field Theory Of Condensed Matter And Ultracold Gases Volume 1 written by Nicolas Dupuis and published by World Scientific. This book was released on 2023-07-26 with total page 689 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a pedagogical introduction to the concepts and methods of quantum field theory necessary for the study of condensed matter and ultracold atomic gases. After a thorough discussion of the basic methods of field theory and many-body physics (functional integrals, perturbation theory, Feynman diagrams, correlation functions and linear response theory, symmetries and their consequences, etc.), the book covers a wide range of topics, from electron gas and Fermi-liquid theory to superfluidity and superconductivity, magnetic instabilities in electron systems, and dynamical mean-field theory of Mott transition. The focus is on the study of model Hamiltonians, where the microscopic physics and characteristic energy scales are encoded into a few effective parameters, rather than first-principle methods which start from a realistic Hamiltonian at the microscopic level and then make material-specific predictions. The reader is expected to be familiar with elementary quantum mechanics and statistical physics, and some acquaintance with condensed-matter physics and ultracold gases may also be useful. No prior knowledge of field theory or many-body problem is required.
Download or read book Quantum World Of Ultra cold Atoms And Light The Book Iii Ultra cold Atoms written by Gardiner Crispin W and published by World Scientific. This book was released on 2017-09-07 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Cold Chemistry written by Olivier Dulieu and published by Royal Society of Chemistry. This book was released on 2017-12-12 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores the theoretical and experimental aspects of cold and ultracold molecular collisions, for students and researchers in theoretical chemistry and chemical reaction/molecular dynamics.
Download or read book Manipulating Quantum Systems written by National Academies of Sciences, Engineering, and Medicine and published by National Academies Press. This book was released on 2020-10-14 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of atomic, molecular, and optical (AMO) science underpins many technologies and continues to progress at an exciting pace for both scientific discoveries and technological innovations. AMO physics studies the fundamental building blocks of functioning matter to help advance the understanding of the universe. It is a foundational discipline within the physical sciences, relating to atoms and their constituents, to molecules, and to light at the quantum level. AMO physics combines fundamental research with practical application, coupling fundamental scientific discovery to rapidly evolving technological advances, innovation and commercialization. Due to the wide-reaching intellectual, societal, and economical impact of AMO, it is important to review recent advances and future opportunities in AMO physics. Manipulating Quantum Systems: An Assessment of Atomic, Molecular, and Optical Physics in the United States assesses opportunities in AMO science and technology over the coming decade. Key topics in this report include tools made of light; emerging phenomena from few- to many-body systems; the foundations of quantum information science and technologies; quantum dynamics in the time and frequency domains; precision and the nature of the universe, and the broader impact of AMO science.
Download or read book Quantum Gases in Quasi One Dimensional Arrays written by Mohammad Reza Bakhtiari and published by Edizioni della Normale. This book was released on 2008-02-15 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The experimental achievement of Bose-Einstein condensation (1995) and of Fermi degeneracy (1999) in ultra-cold, dilute gases has opened a new field in atomic physics and condensed matter physics. This thesis presents an overview of theoretical and experimental facts on ultra-cold atomic gases. A Green's function scheme is examined, and the book also applies a novel spin-density-functional approach to the study of Fermi gases inside one-dimensional optical lattices.
Download or read book Exploring New Physics in Ultracold Quantum Gases written by Biao Huang and published by . This book was released on 2016 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: A large portion of cold atom researches have been devoted to finding novel systems by taking advantage of the high manipulability of cold atom experiments. From the original Bose-Einstein condensates, to the recent realization of Harper-Hofstadter models, cold atoms have kept feeding the world with surprises of realizing systems that were once thought to be purely theoretical constructions. Such trend of research have propelled this thesis to seek for possible new physics based on current cold atom technologies, and to discuss its unique properties. In the first part, we will discuss the local spin ordering for systems made of large spin fermions. This is a generalization of the usual magnetic ordering for spin-1/2 systems, and we shall see that the large spin characters have made qualitative difference. Here we provide a general tensorial classification for fermionic systems of arbitrary spin, and discussed their general character and associated topological defects in the Majorana representation. We have also identified a series of highly symmetric “Platonic solid states” that are stable against perturbations, and have good chance of being observed in experiments. The second part focuses on another topic, which is the eects of background manifold on the quantum systems residing on it. We will first examine the vortex physics for Bose condensates confined on non-trivial 2D surfaces with synthetic gauge fields. In particular, we discuss in detail the cylindrical surface as an example where two types of vortices and a peculiar “necklace” pattern show up as a result of the confining geometry. Then we discuss the topic of Hall viscosity, a unique dissipationless viscosity coeffcient that is related to the adiabatic change of space geometry. We relate it to the density response of a system, and therefore provide an alternative way to compute and measure such a quantity.
