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Birkhäuser Basel eBooks

Bose-Einstein Condensation and Quantum Coherence: From Superfluidity to Localization,from Fermi Liquids to Superconductors

Philippe Nozières

Published Jan 1, 2004• 0 citations
Publisher
DOI
10.1007/978-3-0348-7932-3_5

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The realization of fermionic superfluidity in a dilute gas of atoms, analogous to superconductivity in metals, is a long-standing goal of ultracold gas research. Beyond being a new example of this fascinating quantum phenomenon, fermionic superfluidity in an atomic gas holds the promise of adjustable interactions and the ability to tune continuously from BCS-type superfluidity to Bose-Einstein condensation (BEC). This crossover between BCS superfluidity of correlated atom pairs in momentum space and BEC of local pairs has long been of theoretical interest, motivated in part by the discovery of high Tc superconductors. In atomic Fermi gas experiments superfluidity has not yet been demonstrated; however recent experiments have made remarkable progress toward this goal. Starting from an ultracold Fermi gas experimenters have used Feshbach resonances to reversibly create molecules, i.e. composite bosons consisting of local fermion pairs. Furthermore, the experiments have shown that the resulting diatomic molecules can have surprisingly long lifetimes. Here we report the conversion of a Fermi sea of atoms into a molecular BEC. In addition to being the first molecular condensate in thermal equilibrium, this BEC represents one extreme of the predicted BCS-BEC continuum.

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Bose–Einstein condensation and superfluidity

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Cambridge University Press eBooks•Dec 3, 2009•45 citations
I: Bose-Einstein Condensation.- Claude COHEN-TANNOUDJI Bose-Einstein Condensation: An Introduction.- Sebastien BALIBAR Looking Back at Superfluid Helium 17.- Gora V. SHLYAPNIKOV Condensed Matter Approaches to Quantum Gases.- Jean DALIBARD and Christophe SALOMON Experiments with Cold Atoms.- Philippe NOZIERES Bose-Einstein Condensation and Quantum Coherence:From Superfluidity to Localization,from Fermi Liquids to Superconductors.- II: Entropy.- Olivier DARRIGOL The Origins of the Entropy Concept.- Roger BALIAN Entropy, a Protean Concept.- Christian MAES On the Origin and Use of Fluctuation Relationsfor the Entropy.- Felix RITORT Work Fluctuations, Transient Violations of the Second Law and Free-Energy Recovery Methods: Perspectives in Theory and Experiments.- Thibault DAMOUR The Entropy of Black Holes: A Primer.
Since the early days of Bose–Einstein condensates (BECs) in atomic gases, comparisons have been drawn to the other familiar bosonic systems: liquid helium-4 and the Cooper pairs of superconductors. Two of the early questions asked of BECs were whether they had similar coherence properties and whether they were superfluids. In He4, it is rather difficult to study properties of the condensate, such as the condensate fraction, whereas the measurement of superfluidity is fairly straightforward. The opposite has proved true for atomic condensates: The condensate fraction as a function of temperature was found early on, but only recently has their superfluidity been placed on firm footing (see PHYSICS TODAY, November 1999, page 17).
The realization of fermionic superfluidity in a dilute gas of atoms, analogous to superconductivity in metals, is a long-standing goal of ultracold gas research. Beyond being a new example of this fascinating quantum phenomenon, fermionic superfluidity in an atomic gas holds the promise of adjustable interactions and the ability to tune continuously from BCS-type superfluidity to Bose-Einstein condensation (BEC). This crossover between BCS superfluidity of correlated atom pairs in momentum space and BEC of local pairs has long been of theoretical interest, motivated in part by the discovery of high Tc superconductors. In atomic Fermi gas experiments superfluidity has not yet been demonstrated; however recent experiments have made remarkable progress toward this goal. Starting from an ultracold Fermi gas experimenters have used Feshbach resonances to reversibly create molecules, i.e. composite bosons consisting of local fermion pairs. Furthermore, the experiments have shown that the resulting diatomic molecules can have surprisingly long lifetimes. Here we report the conversion of a Fermi sea of atoms into a molecular BEC. In addition to being the first molecular condensate in thermal equilibrium, this BEC represents one extreme of the predicted BCS-BEC continuum.