2013/04/30 by Daisuke A. Takahashi · 1 citation
Physics and Astronomy · #cond-mat.quant-gas #cond-mat.supr-con #nlin.PS #nlin.SI
paper · pdf · doi:10.1103/physreve.93.062224
published as Phys. Rev. E 93, 062224 (2016) · 21 pages, 13 figures, 10 animated gif files, final version published in Phys. Rev. E. (v4: just eliminated "An" to fit with the published one.)
arxiv created 2017/08/31 · arxiv updated 2017/09/01
An integrable model possessing inhomogeneous ground states is proposed as an effective model of non-uniform quantum condensates such as supersolids and Fulde--Ferrell--Larkin--Ovchinnikov superfluids. The model is a higher-order analog of the nonlinear Schrödinger equation. We derive an n-soliton solution via the inverse scattering theory with elliptic-functional background, and reveal various kinds of soliton dynamics such as dark soliton billiards, dislocations, gray solitons, and envelope solitons. We also provide the exact bosonic and fermionic quasiparticle eigenstates and clarify their tunneling phenomena. The solutions are expressed by a determinant of theta functions.