Download or read book Kinetic Theory for Strongly Interacting Fermi Systems written by Klaus Morawetz and published by . This book was released on 1997 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Transport Theories for Strongly Interacting Systems written by Wolfgang Cassing and published by Springer Nature. This book was released on 2021-10-21 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview on transport theories, focusing on applications and the relativistic off-shell transport theory which are of particular interest for physicists working in the field of relativistic strong-interaction physics, e.g. relativistic or ultra-relativistic heavy-ion collisions or the evolution of the early universe. In this regard, a thorough derivation of the transport equations and a careful analysis of the approximations employed is given. The text is enriched with a multitude of Appendices that partly recall elements of quantum mechanics and field theory or present examples for specific models. Specific exercises are given throughout the chapters. As a basic knowledge the reader should be familiar with quantum mechanics and its principles as well as some basic concepts of the quantum many-body physics and field theory. All chapters close with a short summary and numerical calculations are provided to master and illustrate the subject.
Download or read book Theory Of Interacting Fermi Systems written by Philippe Nozieres and published by CRC Press. This book was released on 2018-03-08 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a detailed exposition of field theoretical methods as applied to zero temperature Fermi liquids. It is a product of a course taught in 1959–1960 at the University of Paris in the "Troisieme Cycle" of Theoretical and Solid-State Physics.
Download or read book Strongly interacting Fermi Gases with Population Imbalance written by and published by . This book was released on 2008 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis presents a theoretical study of strongly-interacting Fermi systems with population imbalance, which is motivated by some differences in cold atoms experiments. We calculate the energy of a single fermion interacting resonantly with a Fermi sea of different species fermions in anisotropic traps, and show that finite particle numbers and the trap geometry impact the phase structure and the critical polarization, the limit of resonance superfluidity in traps. Our findings contribute to understanding some experimental discrepancies as finite-size and confinement effects. For an imbalanced gas in the uniform system, we calculate the energy of adding an impurity, and construct the equation of state of the partially-polarized normal Fermi liquid. Finally, we study the properties of a spin-down polaron in a trapped gas containing arbitrary numbers of spin-up and spin-down fermions, and derive a self-consistent equation for the polaron energy.
Download or read book Strongly Interacting Fermi Gases in Reduced Dimensions written by and published by . This book was released on 2009 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optically-trapped, strongly-interacting Fermi gases are models for exotic strongly-interacting systems in nature. For this reason, tabletop experiments with strongly-interacting atomic Fermi gases can provide measurements that are relevant to all strongly-interacting Fermi systems, thus impacting theories in intellectual disciplines outside atomic physics, including materials science and condensed matter physics (superconductivity), nuclear physics (nuclear matter), high-energy physics (effective theories of the strong interactions), astrophysics (compact stellar objects), the physics of quark-gluon plasmas (elliptic flow), and most recently, string-theory (minimum viscosity hydrodynamics). Recent experiments have been carried out in a three dimensional geometry, where the adiabatic local density approximation is valid. The purpose of this program is to explore strongly-interacting Fermi gases in a two-dimensional pancake geometry, where the simplest approximations break down.
Download or read book Strongly Correlated Fermi Systems written by Miron Amusia and published by Springer Nature. This book was released on 2020-07-16 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the topological fermion condensation quantum phase transition (FCQPT), a phenomenon that reveals the complex behavior of all strongly correlated Fermi systems, such as heavy fermion metals, quantum spin liquids, quasicrystals, and two-dimensional systems, considering these as a new state of matter. The book combines theoretical evaluations with arguments based on experimental grounds demonstrating that the entirety of very different strongly correlated Fermi systems demonstrates a universal behavior induced by FCQPT. In contrast to the conventional quantum phase transition, whose physics in the quantum critical region are dominated by thermal or quantum fluctuations and characterized by the absence of quasiparticles, the physics of a Fermi system near FCQPT are controlled by a system of quasiparticles resembling the Landau quasiparticles. The book discusses the modification of strongly correlated systems under the action of FCQPT, representing the “missing” instability, which paves the way for developing an entirely new approach to condensed matter theory; and presents this physics as a new method for studying many-body objects. Based on the authors’ own theoretical investigations, as well as salient theoretical and experimental studies conducted by others, the book is well suited for both students and researchers in the field of condensed matter physics.
Download or read book Bose Einstein Condensation in Dilute Gases written by C. J. Pethick and published by Cambridge University Press. This book was released on 2008-09-11 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since an atomic Bose-Einstein condensate, predicted by Einstein in 1925, was first produced in the laboratory in 1995, the study of ultracold Bose and Fermi gases has become one of the most active areas in contemporary physics. This book explains phenomena in ultracold gases from basic principles, without assuming a detailed knowledge of atomic, condensed matter, and nuclear physics. This new edition has been revised and updated, and includes new chapters on optical lattices, low dimensions, and strongly-interacting Fermi systems. This book provides a unified introduction to the physics of ultracold atomic Bose and Fermi gases for advanced undergraduate and graduate students, as well as experimentalists and theorists. Chapters cover the statistical physics of trapped gases, atomic properties, cooling and trapping atoms, interatomic interactions, structure of trapped condensates, collective modes, rotating condensates, superfluidity, interference phenomena, and trapped Fermi gases. Problems are included at the end of each chapter.
Download or read book Quantum Kinetic Theory and Applications written by Fedir T. Vasko and published by Springer Science & Business Media. This book was released on 2006-06-08 with total page 791 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physicalkineticsisthe?nalsectionofthecourseoftheoreticalphysics in its standard presentation. It stays at the boundary between g- eral theories and their applications (solid state theory, theory of gases, plasma, and so on), because the treatment of kinetic phenomena always depends on speci?c structural features of materials. On the other hand, the physical kinetics as a part of the quantum theory of macroscopic systems is far from being complete. A number of its fundamental - sues, such as the problem of irreversibility and mechanisms of chaotic responses, are now attracting considerable attention. Other important sections, for example, kinetic phenomena in disordered and/or strongly non-equilibrium systems and, in particular, phase transitions in these systems, are currently under investigation. The quantum theory of m- surements and quantum information processing actively developing in the last decade are based on the quantum kinetic theory. Because a deductive theoretical exposition of the subject is not c- venient, the authors restrict themselves to a lecture-style presentation. Now the physical kinetics seems to be at the stage of development when, according to Newton, studying examples is more instructive than lea- ing rules. In view of these circumstances, the methods of the kinetic theory are presented here not in a general form but as applications for description of speci?c systems and treatment of particular kinetic p- nomena. The quantum features of kinetic phenomena can arise for several r- sons.
Download or read book Condensed Matter Theories written by Feodor V. Kusmartsev and published by World Scientific. This book was released on 2010 with total page 645 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pt. A. Statistical mechanics, magnetism, quantum and nonlinear dynamics. The groundstates and phases of the two-dimensional fully frustrated XY model / P. Minnhagen, S. Bernhardsson and B.J. Kim. 2D Ising model with competing interactions and its application to clusters and arrays of [symbol]-rings, graphene and adiabatic quantum computing / A. O'Hare, F.V. Kusmartsev and K.I. Kugel. Concerning the equation of state for a partially ionized system / G.A. Baker Jr. Quasiclassical Fourier path integral quantum correction terms to the kinetic energy of interacting quantum many-body systems / K.A. Gernoth. Ergodicity and chaos in a system of harmonic oscillators / M.H. Lee. Chaotic modes in scale free opinion networks / F.V. Kusmartsev and K.E. Kürten. Astroid curves for a synthetic antiferromagnetic stack in an applied magnetic field / D.M. Forrester [und weitere]. Entanglement properties of quantum many-body wave functions / J.W. Clark [und weitere] -- pt. B. Fermi and Bose fluids. Topological phase transitions in strongly correlated Fermi systems / J.W. Clark, V.A. Khodel and M.V. Zverev. Deconfinement and quantum liquid crystalline states of dipolar fermions in optical lattices / S.T. Carr, J. Quintanilla and J.J. Betouras. On the "generalized Slater" approximation / J. Messud [und weitere]. Fluid helium-4 in thermal equilibrium / K.A. Gernoth and M.L. Ristig. Microscopic approach in the description of slowing of electromagnetic pulses in BEC of alkalis / Y. Slyusarenko and A. Sotnikov. Anomalous behavior of ideal Fermi gas below 2D : The "ideal quantum dot" and the Paul exclusion principle / M. Grether, M. de Llano and M.H. Lee -- pt. C. Transport theory. On the quantum Hall effect in graphene / S. Fujita [und weitere]. Modelling charge transport in DNA using transfer matrices with diagonal terms / S.A. Wells, C.-T. Shih and R.A. Römer. Similarities between embolic stroke and percolation problems / J.P. Hague. Extraordinary magnetoresistance in hybrid semiconductor-metal systems / T.H. Hewett and F.V. Kusmartsev. Topological aspects of the specific heat / C.M. Sarris and A.N. Proto. Effects of electron-electron interactions in two dimensions / S.V. Kravchenko
Download or read book Strong Interactions in Low Dimensions written by D. Baeriswyl and published by Springer Science & Business Media. This book was released on 2007-09-29 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an attempt to convey the colorful facets of condensed matter systems with reduced dimensionality. Some of the specific features predicted for interacting one-dimensional electron systems, such as charge- and spin-density waves, have been observed in many quasi-one-dimensional materials. The two-dimensional world is even richer: besides d-wave superconductivity and the Quantum Hall Effect - perhaps the most spectacular phases explored during the last two decades - many collective charge and spin states have captured the interest of researchers, such as charge stripes or spontaneously generated circulating currents. Recent years have witnessed important progress in material preparation, measurement techniques and theoretical methods. Today larger and better samples, higher flux for neutron beams, advanced light sources, better resolution in electron spectroscopy, new computational algorithms, and the development of field-theoretical approaches allow an in-depth analysis of the complex many-body behaviour of low-dimensional materials. The epoch when simple mean-field arguments were sufficient for describing the gross features observed experimentally is definitely over. The Editors' aim is to thoroughly explain a number of selected topics: the application of dynamical probes, such as neutron scattering, optical absorption and photoemission, as well as transport studies, both electrical and thermal. Some of the more theoretical chapters are directly relevant for experiments, such as optical spectroscopy, transport in one-dimensional models, and the phenomenology of charge inhomogeneities in layered materials, while others discuss more general topics and methods, for example the concept of a Luttinger liquid and bosonization, or duality transformations, both promising tools for treating strongly interacting many-body systems.
Download or read book Ultracold Fermi Gas with Repulsive Interactions written by Ye-Ryoung Lee and published by . This book was released on 2012 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis presents results from experiments of ultracold atomic Fermi gases with repulsive interaction. Itinerant ferromagnetism was studied by simulating the Stoner model with a strongly interacting Fermi gas of ultracold atoms. We observed nonmonotonic behavior of lifetime, kinetic energy, and size for increasing repulsive interactions, which is in good agreement with a mean-field model for the ferromagnetic phase transition. However, later research showed the absence of enhanced spin fluctuation, which is definitive evidence against the ferromagnetic phase transition. Still, our work triggered a lot of research on repulsive interactions in ultracold Fermi gases. A quantitative approach is taken to study ultracold Fermi gases with repulsive interaction. This is done by careful measurements of density profiles in equilibrium. First, Pauli paramagnetism is observed in trapped atomic samples which have an inhomogeneous density due to the harmonic confinement potential. We experimentally measure the susceptibility of ideal Fermi gas. This research shows that ultracold atoms can serve as model systems to demonstrate well-known textbook physics in a more ideal way than other systems. Then, Fermi gases with repulsive interactions are characterized by measuring their compressibility as a function of interaction strength. The compressibility is obtained from in-trap density distributions monitored by phase contrast imaging. For interaction parameters kFa > 0.25 fast decay of the gas prevents the observation of equilibrium profiles. For smaller interaction parameters, the results are adequately described by first-order perturbation theory. A novel phase contrast imaging method compensates for dispersive distortions of the images.
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.
Download or read book On the Theory of Interacting Fermi Systems written by Raymond Francis Bishop and published by . This book was released on 1972 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Theory of Heavy Fermion Compounds written by Miron Ya. Amusia and published by Springer. This book was released on 2014-10-25 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains modern and interesting physics in heavy-fermion (HF) compounds to graduate students and researchers in condensed matter physics. It presents a theory of heavy-fermion (HF) compounds such as HF metals, quantum spin liquids, quasicrystals and two-dimensional Fermi systems. The basic low-temperature properties and the scaling behavior of the compounds are described within the framework of the theory of fermion condensation quantum phase transition (FCQPT). Upon reading the book, the reader finds that HF compounds with quite different microscopic nature exhibit the same non-Fermi liquid behavior, while the data collected on very different HF systems have a universal scaling behavior, and these compounds are unexpectedly uniform despite their diversity. For the reader's convenience, the analysis of compounds is carried out in the context of salient experimental results. The numerous calculations of the non-Fermi liquid behavior, thermodynamic, relaxation and transport properties, being in good agreement with experimental facts, offer the reader solid grounds to learn the theory's applications. Finally, the reader will learn that FCQPT develops unexpectedly simple, yet completely good description of HF compounds.
Download or read book Ultracold Bosonic and Fermionic Gases written by Kathy Levin and published by Elsevier. This book was released on 2012-11-15 with total page 225 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 Simulating Strongly Correlated Electrons with a Strongly Interacting Fermi Gas written by and published by . This book was released on 2013 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: The quantum many-body physics of strongly-correlated fermions is studied in a degenerate, strongly- interacting atomic Fermi gas, first realized by our group with DOE support in 2002. This system, which exhibits strong spin pairing, is now widely studied and provides an important paradigm for testing predictions based on state-of-the-art many-body theory in fields ranging from nuclear matter to high temperature superfluidity and superconductivity. As the system is strongly interacting, both the superfluid and the normal fluid are nontrivial and of great interest. A central part of our program on Fermi gases is the connection between the study of thermodynamics, supported by DOE and the study of hydrodynamic transport, supported by NSF. This connection is especially interesting in view of a recent conjecture from the string theory community on the concept of nearly perfect normal fluids, which exhibit a minimum ratio of shear viscosity to entropy density in strongly-interacting, scale-invariant systems.
Download or read book Theory of Interacting Fermi Systems written by Philippe Nozières and published by . This book was released on 1964 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt:
