Exact analysis of an interacting bose gas. i. the general solution and the ground state
Citations
6,601 citations
Cites background from "Exact analysis of an interacting bo..."
...…dipole potential while the Rubidium lives in 3D. Lieb-Liniger model To describe the many-body problem of bosons confined to an effectively 1D situation, the standard microscopic starting point is a model due to Lieb and Liniger (1963) H = − ~ 2 2m N∑ l=1 ∂2 ∂x2l + g1 ∑ l<l′ δ(xl − xl′) ....
[...]
...In particular, for the Lieb-Liniger gas, the local value of the pair correlation g(2)(0) = de(γ)/dγ can be obtained directly from the derivative of the dimensionless ground state energy (Lieb and Liniger, 1963)....
[...]
2,156 citations
1,531 citations
Cites background or methods from "Exact analysis of an interacting bo..."
...…PRL 105, 090404 (2010) 1D Quasicondensate, with a finite spread in a momentum space (for a repulsive interaction) V. Popov (1972) exact eigenstates: Lieb and Liniger (1963) Energy scales m (mass) s (sound velocity) n (concentration) interaction energy per particle quantum degeneracy…...
[...]
...4 were projected with a twocomponent model that accurately reflects the measured heating, for go (gd) 1⁄4 4 (18), 1 (3....
[...]
1,491 citations
1,341 citations
References
8,965 citations
1,418 citations
1,046 citations
402 citations