Proceedings of the Thirteenth Physics Summer School : Bose-Einstein condensation : from atomic physics to quantum fluids : Canberra, Australia, 17-28 January 2000 / editors, Craig M. Savage, Mukunda P. Das.

Format:

Book

Conference/Event

Contributor:

Das, M. P.

Savage, Craig M.

Conference Name:

Physics Summer School (13th : 2000 : Canberra, A.C.T.)

Physics Summer School

Language:

English

Subjects (All):

Atoms--Congresses.

Atoms.

Bose-Einstein condensation--Congresses.

Bose-Einstein condensation.

Quantum optics--Congresses.

Quantum optics.

Physical Description:

1 online resource (315 p.)

Other Title:

Bose-Einstein condensation

Place of Publication:

Singapore ; River Edge, NJ : World Scientific, c2000.

Language Note:

English

Summary:

Bose-Einstein condensation of dilute gases is an exciting new field of interdisciplinary physics. The eight chapters in this volume introduce its theoretical and experimental foundations. The authors are lucid expositors who have also made outstanding contributions to the field. They include theorists Tony Leggett, Allan Griffin and Keith Burnett, and Nobel-Prize-winning experimentalist Bill Phillips. In addition to the introductory material, there are articles treating topics at the forefront of research, such as experimental quantum phase engineering of condensates, the “superchemistry” of interacting atomic and molecular condensates, and atom laser theory.

Contents:

Contents; Preface; TOPICS IN THE THEORY OF THE ULTRACOLD DILUTE ALKALI GASES; 1 Introduction. History, the experimental systems, comparison with liquid helium. General concepts concerning BEC; 2 Aspects of Superfluidity; 2.1 Criteria for superfluidity; 2.2 Rotating frames of reference; 2.3 Effect of hyperfine degree of freedom; 3 Some aspects of the Josephson effect and related topics; 3.1 Realizations of the Josephson effect in the alkali gases; 3.2 Interference and ""phase standards""; 4 Prospects for Cooper pairing and its detection in the Fermi alkali gases; References

STATISTICAL MECHANICS OF BOSONIC SYSTEMS1 Introduction; 2 The Ideal Bose Gas; 2.1 The Effect of Reduced Dimensionality; 2.2 Inhomogeneous Systems; 2.3 The Effect of a Finite Number of Particles; 3 Weakly Interacting Bose Systems; 3.1 Bogoliubov Theory of Interacting Bosons; 3.2 General Considerations; 3.3 The Gross-Pitaevskii Formalism; 4 Strongly Interacting Bose Systems; 4.1 An Exactly Solvable System in 1-Dimension; 4.2 Lattice Bose Systems; 5 Conclusion; Appendix A: Bose Integrals; General References; References

CONDENSATE OSCILLATIONS, KINETIC EQUATIONS AND TWO-FLUID HYDRODYNAMICS IN A BOSE GAS1 Introduction; 2 Pure condensate dynamics (at T = 0); 3 Generalized GP equation at finite temperatures; 4 Dynamics of the coupled condensate and non-condensate at finite temperatures; 5 Two-fluid hydrodynamics in Bose liquids and gases; Acknowledgments; References; FINITE-TEMPERATURE EFFECTS IN BOSE-EINSTEIN CONDENSATES; 1 Introduction; 2 Effective Interactions between ultracold atoms; 3 The Gross-Pitaevskii Equation and Mean-Field Theory; 4 Treating Thermal and Non-equilibrium effects using the GPE

5 Correlations between particles in a condensate6 Second-Order Theory of Widths and Shifts at FiniteTemperature; 7 Entangled Pairs in Condensates and Atom Laser Output; 8 The Phase of a Condensate; 9 Entanglement in four wave mixing; Acknowledgements; References; THE THEORY OF ATOM LASERS; 1 Introduction; 2 Second Quantization; 3 The Gross-Pitaevskii Equation; 4 Coherence; 5 Atom Laser Models; 5.1 Rate equations; 5.2 Mean-field models; 5.3 Fully quantum mechanical models; 6 Atomic Gain; 6.1 Quantum Kinetic theory; 6.2 'Particle-like' rate equations; 6.3 Results; 6.4 Full dynamical solution

7 Output Coupling7.1 Mean field treatment of output coupling; 7.2 Analytic treatments; 7.3 Weak coupling regime; 7.4 Finite Temperature Output coupling; 8 Acknowledgements; References; VORTICES AND SOLITONS IN BOSE-CONDENSATES; 1 Introduction; 1.1 BEC Quantum Field Theory; 1.2 Mean-field Theory; 2 Vortices; 2.1 Gross-Pitaevskii equation in one dimension; 2.2 Dimensionless equations; 2.3 Ground state and toroidal vortices; 2.4 Phonons; 2.5 Higher dimensional vortices; 3 Soliton solutions; 3.1 Dark and Bright Solitons; 3.2 Exact solutions; 3.3 Exact Dark Soliton Solutions

3.4 Limiting tanh soliton

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

9789812791900

9812791906

OCLC:

844434120