Bose-Einstein Condensation and Superfluidity: (164 International Series of Monographs on Physics)

Ultracold atomic gases is a rapidly developing area of physics that attracts many young researchers around the world. Written by world renowned experts in the field, this book gives a comprehensive overview of exciting developments in Bose-Einstein condensation and superfluidity from a theoretical perspective. The authors also make sense of key experiments from the past twenty years with a special focus on the physics of ultracold atomic gases. These systems are characterized by a rich variety of features which make them similar to other important systems of condensed matter physics (like superconductors and superfluids). At the same time they exhibit very peculiar properties which are the result of their gaseous nature, the possibility of trapping in a variety of low dimensional and periodical configurations, and of manipulating the two-body interaction. The book presents a systematic theoretical description based on the most successful many-body approaches applied both to bosons and fermions, at equilibrium and out of equilibrium, at zero as well as at finite temperature. Both theorists and experimentalists will benefit from the book, which is mainly addressed to beginners in the field (master students, PhD students, young postdocs), but also to more experienced researchers who can find in the book novel inspirations and motivations as well as new insightful connections. Building on the authors' first book, Bose-Einstein Condensation (Oxford University Press, 2003), this text offers a more systematic description of Fermi gases, quantum mixtures, low dimensional systems and dipolar gases. It also gives further emphasis on the peculiar phenomenon of superfluidity and its key role in many observable properties of these ultracold quantum gases.

Table of Contents:
1: Introduction Part I 2: Long range order, symmetry breaking and order parameter 3: The ideal Bose gas 4: The weakly-interacting Bose gas 5: Non-uniform Bose gases at zero temperature 6: Superfluidity 7: Linear response function 8: Superfluid He4 9: Atomic gases: collisions and trapping Part II 10: The ideal Bose gas in the harmonic trap 11: Ground state of a trapped condensate 12: Dynamics of a trapped condensate 13: Thermodynamics of a trapped Bose gas 14: Superfluidity and Rotation of a trapped Bose gas 15: Coherence, interference and Josephon effect Part III 16: Interacting Fermi gases and the BCS-BEC crossover 17: Fermi gas in the harmonic trap 18: Tan relations and the contact 19: Dynamic and Superfluidity of Fermi gases 20: Spin polarized Fermi gases Part IV 21: Quantum mixtures and spinor gases 22: Quantum Gases in optical lattices 23: Quantum gases in pancake and 2D regimes 24: Quantum gases in cigar and 1D regimes 25: Dipolar gases 1: Introduction Part I 2: Long range order, symmetry breaking and order parameter 3: The ideal Bose gas 4: The weakly-interacting Bose gas 5: Non-uniform Bose gases at zero temperature 6: Superfluidity 7: Linear response function 8: Superfluid He4 9: Atomic gases: collisions and trapping Part II 10: The ideal Bose gas in the harmonic trap 11: Ground state of a trapped condensate 12: Dynamics of a trapped condensate 13: Thermodynamics of a trapped Bose gas 14: Superfluidity and Rotation of a trapped Bose gas 15: Coherence, interference and Josephon effect Part III 16: Interacting Fermi gases and the BCS-BEC crossover 17: Fermi gas in the harmonic trap 18: Tan relations and the contact 19: Dynamic and Superfluidity of Fermi gases 20: Spin polarized Fermi gases Part IV 21: Quantum mixtures and spinor gases 22: Quantum Gases in optical lattices 23: Quantum gases in pancake and 2D regimes 24: Quantum gases in cigar and 1D regimes 25: Dipolar gases

About the Author :
Lev P. Pitaevskii is a researcher at the CNR Trento research center on Bose-Einstein Condensation and at the Kapitza Institute for Physical Problems in Moscow. He was educated at Saratov University (Russia) and worked at the Institute for Physical Problems and also at Technion (Haifa, Israel). He has worked at the University of Trento since 1998. His main expertise is in the theory of superfluidity, Bose-Einsten condensation, Van der Waals forces and plasma physics. He is co-author of the books Quantum Electrodynamics, Statistical Physics, Part II (Condensed Matter Theory) and Physical Kinetics, which are part of the Landau-Lifshitz Course of Theoretical Physics. He is a full Member of the Russian Academy of Sciences. Sandro Stringari is a full professor at the University of Trento and member of the CNR Trento research center on Bose-Einstein Condensation. After his studies at the Scuola Normale Superiore in Pisa he started his scientific career in the field of nuclear physics, quantum clusters and quantum fluids. He is an expert in the theory of ultracold atomic gases where he made important contributions on their dynamic and superfluid behavior. He worked, as invited scientist, at the Department of Theoretical Physics in Oxford and at the Institut de Physique Nucléaire in Orsay . In the year 2004/05 he held the European Chair at the College de France in Paris. Sandro Stringari has been the organizer of several conferences and schools in different domains of physics. He is corresponding member of the Italian Accademia Nazionale dei Lincei.

Review :
Bose-Einstein condensates serve as the starting point for most current experiments in the field of ultracold atom physics... They are also an essential ingredient for most theoretical studies in this area. The theory described in this book is thus highly relevant for all researchers working in this field. The original version of the author's book on Bose-Einstein condensation is a standard text in this field and highly regarded. I expect it to be read widely by graduate students and more senior researchers entering the field. I also expect it to be used extensively as a standard reference within the field. The earlier version of the textbook by these authors, Bose-Einstein Condensation (2003), is a remarkable achievement and a 'must have' for any physicist working on cold atoms or teaching Bose-Einstein Condensation. This revised version increases considerably the range and interest of the authors' already classical text. In particular, it includes much more on the Fermi gases, their superfluidity, and the BEC/BCS crossover. All these subjects have been the focus of tremendous experimental interest in recent years. A high quality comprehensive textbook like this one that addresses this expanding interest will clearly be an important milestone in the field. There has been an explosion of interest in this topic in the last twenty years. Since the publication of the first edition of this text there have been substantial experimental breakthroughs, and subsequent refinement of theoretical treatments. In particular, including discussion of Fermi gases, quantum mixtures, low dimensional systems and dipolar gases will be valuable additions to the list of content... This is a timely topic and there currently is no competing book at this level of depth... Pitaevskii and Stringari are both internationally-renowned experts in their field. They both have a distinguished research track record, and can claim to be pioneers in the field of the theoretical treatment of Bose-Einstein Condensation and superfluidity. Both have made significant contributions to the field, sustained over a long period of time. It is difficult to imagine finding a better pairing to write a book about this topic. The book is a good resource for the theoretical description of BEC beyond the idealised configurations that are described in many texts. The concise style and large amount of notation requires constant effort from the reader, but seems inevitable to explain many of the surprising phenomena appearing in BECs.