Bose-Einstein condensation and superfluidity (Q2804861)

This textbook is restricted only to some parts of the most important subjects related to the physics of Bose-Einstein condensation (BEC) and Fermi gases, and it displays an introduction to the most relevant concepts so involved. It comprises four parts which themselves contain each one several chapters. In the first part (Chapters 2 to 9: ideal Bose gas, weakly interacting Bose gas, zero temperature, super-fluidity, collisions and trapping), the authors provide all the background and theoretical concepts which are useful to understand the BEC, including Bose gas, interacting Bose gas, super-fluidity, collisions and trapping. Part II (Chapters 10 to 15: ideal Bose gas in the harmonic trap, ground state of a trapped condensate, dynamics of a trapped condensate, thermodynamics of a trapped Bose gas, super-fluidity and rotation of a trapped Bose gas) is devoted to the physics of trapped Bose-Einstein condensed gases. Part III (Chapters 16 to 20: interacting Fermi gases, Fermi gases in the harmonic trap, Tan relations and the contact parameter, dynamics and super-fluidity of Fermi gases, spin-polarized Fermi gases) deals with the study of interacting Fermi gases at low temperature. Finally, Part IV (Chapters 21 to 25: quantum mixtures and spinor gases, quantum gases in optical lattices, quantum gases in pancake, quantum gases in cigar, dipolar gases) refers to topics of common interest for both Bose and Fermi gases. The prerequisites for the potential reader are standard quantum mechanics and standard Lagrangian mechanics. The book is easy to read. Here, mathematics are used as an adjuvant to physics.