Bose-Einstein condensation : from atomic physics to quantum fluids : proceedings of the thirteenth Physics Summer School, Canberra, Australia, 17-28 January 2000
Topics in the Theory of the Ultracold Dilute Alkali Gases (A J Leggett) Statistical Mechanics of Bosonic Systems (J Oitmaa) Condensate Oscillations, Kinetic Equations and Two-Fluid Hydrodynamics in a Bose Gas (A Griffin) Finite Temperature Effects in Bose-Einstein Condensates (K Burnett) The Theory of Atom Lasers (R J Ballagh & C M Savage) Vortices and Solitons in Bose-Condensates (P D Drummond) Cooling, Trapping and Manipulation of Neutral Atoms and Bose-Einstein Condensates by Electromagnetic Fields (K Helmerson & W D Phillips) Experimental Aspects of Bose-Einstein Condensation (A C Wilson & C R McKenzie).
Topics in the Theory of the Ultracold Dilute Alkali Gases (A J Leggett) Statistical Mechanics of Bosonic Systems (J Oitmaa) Condensate Oscillations, Kinetic Equations and Two-Fluid Hydrodynamics in a Bose Gas (A Griffin) Finite Temperature Effects in Bose-Einstein Condensates (K Burnett) The Theory of Atom Lasers (R J Ballagh & C M Savage) Vortices and Solitons in Bose-Condensates (P D Drummond) Cooling, Trapping and Manipulation of Neutral Atoms and Bose-Einstein Condensates by Electromagnetic Fields (K Helmerson & W D Phillips) Experimental Aspects of Bose-Einstein Condensation (A C Wilson & C R McKenzie).
The discovery of Bose Einstein condensation (BEC) in trapped ultracold atomic gases in 1995 has led to an explosion of theoretical and experimental research on the properties of Bose-condensed dilute gases. The first treatment of BEC at finite temperatures, this book presents a thorough account of the theory of two-component dynamics and nonequilibrium behaviour in superfluid Bose gases. It uses a simplified microscopic model to give a clear, explicit account of collective modes in both the collisionless and collision-dominated regions. Major topics such as kinetic equations, local equilibrium and two-fluid hydrodynamics are introduced at an elementary level. Explicit predictions are worked out and linked to experiments. Providing a platform for future experimental and theoretical studies on the finite temperature dynamics of trapped Bose gases, this book is ideal for researchers and graduate students in ultracold atom physics, atomic, molecular and optical physics and condensed matter physics.
Since the dramatic discovery of Bose–Einstein condensation (BEC) in trapped atomic gases in 1995 (Anderson et al. , 1995), there has been an explosion of theoretical and experimental research on the properties of Bose-condensed dilute gases. The first phase of this research was discussed in the influential review article by Dalfovo et al. (1999) and in the proceedings of the 1998 Varenna Summer School on BEC (Inguscio et al. , 1999). More recently, this research has been well documented in two monographs, by Pethick and Smith (2008, second edition) and by Pitaevskii and Stringari (2003). Most of this research, both experimental and theoretical, has concentrated on the case of low temperatures (well below the BEC transition temperature, T BEC ), where one is effectively dealing with a pure Bose condensate. The total fraction of noncondensate atoms in such experiments can be as small as 10% of the total number of atoms and, equally importantly, this low-density cloud of thermally excited atoms is spread over a much larger spatial region compared with the high-density condensate, which is localized at the centre of the trapping potential. Thus most studies of Bose-condensed gases at low temperatures have concentrated entirely on the condensate degree of freedom and its response to various perturbations. This region is well described by the famous Gross–Pitaevskii (GP) equation of motion for the condensate order parameter Φ( r , t ). As shown by research since 1995, this pure condensate domain is very rich in physics. The main goal of the present book, in contrast, is to describe the dynamics of dilute trapped atomic gases at finite temperatures such that the noncondensate atoms also play an important role.
Bose-Einstein condensation is an exciting physical phenomenon. It was predicted in 1924 and experimentally produced in 1995 using powerful laser cooling techniques. Bose condensed gases become one of most emerging field of modern physics, embracing many area namely atomic and molecular physics, nuclear physics, astrophysics, quantum optics, and condensed matter physics. The advent of these quantum degenerate gases opens intriguing prospects for precision measurements, quantum information, and novel phases of matter. The book presents a new thorough theory treating Bose condensed gases at finite temperatures with extremely distinct background. The approach proved useful, efficient and successful as a theoretical mean to study all aspects of ultracold gases at finite temperatures. Equilibrium and dynamic properties, superfluidity and vortices, anomalous correlations, quantum mixtures and long range interactions are among the topics covered in this book. The book is written in a pedagogical style and features sufficient elementary background material. It can be therefore, accessible to all scientists from graduate students to senior researchers in cold atoms physics.
For many years, 4He typified Bose-Einstein superfluids, but recent advances in dilute ultra-cold alkali-metal gases have provided new neutral superfluids that are particularly tractable because the system is dilute. This chapter starts with a brief review of the physics of superfluid 4He, followed by the basic ideas of Bose-Einstein condensation (BEC), first for an ideal Bose gas and then considering the effect of interparticle interactions, including time-dependent phenomena. Extensions to more exotic condensates include magnetic dipolar gases, mixtures of two components, and spinor condensates that require a focused infrared laser for trapping of all the various hyperfine magnetic states in a particular hyperfine F manifold of mF states. With an applied rotation, the trapped BECs nucleate quantized vortices. Recent theory and experiment have shown that laser coupling fields can mimic the effect of rotation. The resulting synthetic gauge fields have produced vortices in a nonrotating condensate.
This is based on 4 lectures given at the 13th Australian Physics Summer School, Australia National University, Canberra, Jan 17-28, 2000. The main topic is the theory of collective modes in a trapped Bose gas at finite temperatures. A generalized Gross-Pitaevskii equation is derived at finite temperatures, which is used to discuss a new mechanism for damping in the collisionless region arising from interactions with a static thermal cloud of non-condensate atoms. Next, introducing a kinetic equation for the thermal cloud, we derive two-fluid equations of motion for the condensate and non-condensate components in the collision-dominated hydrodynamic region. We show that these are precisely the equivalent of the Landau two-fluid equations in the limit that the two components are in diffusive local equilibrium. However, our equations also predict the existence of a new zero frequency relaxational mode, in addition to the usual Landau hydrodynamic modes (such as first and second sound). The special importance and simplicity of two-fluid hydrodynamics is stressed.
The material presented here consists of lecture notes written for a five two-hour sections course given during the 2004 edition of the Brazilian School on Statistical Mechanics.The topics covered are 1.Bose-Einstein condensation of trapped ideal gases; 2. Effective two-body interactions and exact results in the Gross-Pitaevski limit; 3. Atomic structure effects, including "Feshbach resonances" and hybrid condensates; 4. Elementary excitations in the Bogoliubov approximation and beyond; and 5. Splitt traps, interference phenomena and condensate arrays.