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

The purpose of this e-book is to comprise assessment articles describing the newest theoretical and experimental advancements within the box of chilly atoms and molecules. Our wish is this sequence will advertise learn through either highlighting contemporary breakthroughs and by way of outlining essentially the most promising study instructions within the field.

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

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89. 90 Indeed, one typically determines each virial coefficient by solving the relevant few-body problem in a harmonic trap. The coefficents for the trapped gas can be straighforwardly mapped to those in the uniform trap case using the relation: b j = j b j (Ref. 81). The lowest order coefficients are plotted in Fig. 17. We see that the correction to the second virial coefficient due to interactions is attractive, as expected, since it lowers the grand potential at fixed µ and T . However, this lowest order term is expected to overestimate the attraction at lower temperatures and thus the third-order correction acts to increase the energy.

68, which can in principle account for an infinite number of levels. Building on the formalism in Sec. 2, the many-body grand-canonical Hamiltonian in the quasi-2D geometry is (setting the system area A = 1): Hˆ = ( kn † − µ)cknσ cknσ k,n,σ † n 1 n 2 |g|n ˆ 3 n 4 ckn c† c c , 1 ↑ q−kn 2 ↓ q−k n 3 ↓ k n 4 ↑ + k,n 1 ,n 2 k ,n 3 ,n 4 q (43) March 4, 2015 6:20 Annual Review of Cold Atoms and Molecules Volume 3 9in x 6in b2033-ch01 page 29 Strongly Interacting Two-Dimensional Fermi Gases 29 where kn = k 2 /2m + nωz are the single particle energies relative to the zero-point energy of the n = 0 state.

38,42 This behavior is likely due to the increased centrifugal barrier for p-wave pairing in 3D. Interestingly, at unitarity the critical mass ratio for tetramer formation in this quasi-2D geometry is below the K-Li mass ratio. From the point of view of experiment, it is useful to determine the precise conditions under which K and Li atoms will form such stable few-body bound states. In the above we assumed that the confinement frequencies of the two atomic species were identical, and while this can be engineered using species dependent optical lattices this need not be the case.