By Kirk W Madison, Kai Bongs, Visit Amazon's Lincoln D Carr Page, search results, Learn about Author Central, Lincoln D Carr, , Ana Maria Rey, Hui Zhai

ISBN-10: 9814667730

ISBN-13: 9789814667739

The purpose of this booklet is to comprise evaluate articles describing the newest theoretical and experimental advancements within the box of chilly atoms and molecules. Our desire is this sequence will advertise study by way of either highlighting fresh breakthroughs and via outlining one of the most promising examine instructions within the field.

Readership: examine scientists together with graduate scholars and top point undergraduate scholars.

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**Extra info for Annual Review of Cold Atoms and Molecules: Volume 3**

**Sample text**

To extract the behaviour of the weakly repulsive Bose gas, we consider the grand potential according to Bogoliubov theory: =− 1 µ2d − 2gd 2 kd k=0 + µd − kd ( kd + 2µd ) , (56) March 4, 2015 6:20 Annual Review of Cold Atoms and Molecules Volume 3 9in x 6in 34 b2033-ch01 page 34 J. Levinsen & M. M. Parish 2 k where kd = 2M and M = m ↑ + m ↓ = 2m. After regularizing the momentum sum, we obtain (see, also, Ref. 74) = Mµ2d 1 − 2 ln 16π 1 2 Madd µd . (57) To relate this back to the Fermi system, we consider the density of dimers: nd ≡ ∂ Nd Mµd =− ln = A ∂µd 4π 1 2 Madd µd e .

Indeed, by interpolating between the known weakcoupling results in the BCS and BEC regimes, we can obtain a reasonable k Note that we have used a different definition of a 2D compared with the original QMC paper — see the discussion in Sec. 2. 5 2 3 4 0 2 0 2 4 6 5 0 2 (a) 4 6 (b) Fig. 11. (a) Energy per particle in units of ε F /2 (the energy per particle in the noninteracting gas) as a function of interaction strength. The trivial two-body binding energy has been subtracted. The data points are the results of the QMC calculation,55 while the solid line is an interpolation between the known weak coupling results in the BCS and BEC limits.

18,19 For the quasi-2D system, one must use the general 2 expression for the density n σ = k,n ,n |v kn n | and define ε F to be the chemical potential of an ideal Fermi gas with the same density. As the interactions are varied in the quasi-2D Fermi gas, the chemical potential always evolves from ε F in the weakly interacting BCS limit εb /ε F 1, to −εb /2 in the BEC limit εb /ε F 1. However, the precise evolution in the BCS-BEC crossover is dependent on the quasi-2D confineε F , εb , and ment frequency ωz once we are away from the 2D limit ωz this has implications for current 2D experiments, as we discuss later.

### Annual Review of Cold Atoms and Molecules: Volume 3 by Kirk W Madison, Kai Bongs, Visit Amazon's Lincoln D Carr Page, search results, Learn about Author Central, Lincoln D Carr, , Ana Maria Rey, Hui Zhai

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