Bose-Einstein Condensation by Lev. P. Pitaevskii

Bose-Einstein Condensation

byLev. P. Pitaevskii, Sandro Stringari

Hardcover | October 6, 2004

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The book is an introductory text to the physics of Bose-Einstein condensation. This phenomenon, first predicted by Einstein in 1925, has been realized experimentally in 1995 in a remarkable series of experiments whose importance has been recognized by the award of the 2001 Nobel Prize inPhysics. The condensate is actually a new state of matter, where quantum-mechanical wave functions of atoms behave as coherent matter waves in the same way as coherent light waves in the case of a laser. The authors provide a theoretical presentation of the main concepts underlying the physics ofdilute atomic gases in conditions of extremely low temperatures where quantum effects play a crucial role. The main effort is devoted to discussion of the relevant theoretical aspects exhibited by these systems, such as the concept of order parameter, long range order, superfluidity and coherence.The mathematical formalism is presented in a form convenient for practical use. The book develops the theory of Bose gases starting from the pioneering Bogoliubov approach and gives special emphasis to the new physical features exhibited by non-uniform gases which are produced in the recentexperiments with magnetic and optical traps. These features include the determination of the equilibrium profiles, the collective oscillations, the mechanism of the expansion of the gas after releasing the trap, the interference patterns obtained by overlapping two condensates, the rotationalproperties revealing the effects of superfluidity (quantized vortices, behaviour of the moment of inertia), the Josephson-like phenomena associated with the coherence of the phase, the beyond mean field phenomena exhibited by quantum gases in conditions of reduced dimensionality (1D and 2D) etc. Thebook also discusses the analogies and differences with the physics of "classical" superfluids like liquid helium and introduces some of the major features of trapped Fermi gases at low temperature, pointing out the consequences of superfluidity.

About The Author

L. Pitaevskii: Russian, born in Saratov (Russia) January 18, 1933 S. Stringari: Italian, born in Tarcento (Italy) March 2, 1949

Details & Specs

Title:Bose-Einstein CondensationFormat:HardcoverDimensions:392 pages, 9.21 × 6.14 × 0.98 inPublished:October 6, 2004Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198507194

ISBN - 13:9780198507192

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Table of Contents

1. IntroductionPart I2. Long range order, symmetry breaking and order parameter3. The ideal Bose gas4. The weakly interacting Bose gas5. The non uniform Bose gas at zero temperature6. Superfluidity7. Linear response function8. Superfluid 4(superscript)HePart II9. Atomic gases: collisions and trapping10. The Ideal Bose gas in the harmonic trap11. Ground state of a trapped condensate12. Dynamics of a trapped condensate13. Thermodynamics of a trapped Bose gas14. Rotation of a trapped Bose gas15. Coherence, interference and Josephson effect16. Bose-Einstein condensation in optical lattices17. Bose-Einstein condensed gases in 2D and 1D18. Atomic Fermi gases in traps