@article {2011,
	title = {Axial symmetry of some steady state solutions to nonlinear Schr{\"o}dinger equations},
	journal = {Proc. Amer. Math. Soc. 139 (2011), 1023-1032},
	number = {SISSA;75/2010/M},
	year = {2011},
	publisher = {American Mathematical Society},
	abstract = {In this note, we show the axial symmetry of steady state solutions of nonlinear Schrodinger equations when the exponent of the nonlinearity is between the critical Sobolev exponent of n dimensional space and n - 1 dimensional space.},
	keywords = {Nonlinear Schr{\"o}dinger equation},
	doi = {10.1090/S0002-9939-2010-10638-X},
	url = {http://hdl.handle.net/1963/4100},
	author = {Changfeng Gui and Andrea Malchiodi and Haoyuan Xu and Paul Yang}
}
@article {2007,
	title = {Luther-Emery Phase and Atomic-Density Waves in a Trapped Fermion Gas},
	journal = {Phys. Rev. Lett. 98 (2007) 030404},
	number = {arXiv.org;cond-mat/0609346v1},
	year = {2007},
	abstract = {<p>The Luther-Emery liquid is a state of matter that is predicted to occur in one-dimensional systems of interacting fermions and is characterized by a gapless charge spectrum and a gapped spin spectrum. In this Letter we discuss a realization of the Luther-Emery phase in a trapped cold-atom gas. We study by means of the density-matrix renormalization-group technique a two-component atomic Fermi gas with attractive interactions subject to parabolic trapping inside an optical lattice. We demonstrate how this system exhibits compound phases characterized by the coexistence of spin pairing and atomic-density waves. A smooth crossover occurs with increasing magnitude of the atom-atom attraction to a state in which tightly bound spin-singlet dimers occupy the center of the trap. The existence of atomic-density waves could be detected in the elastic contribution to the light-scattering diffraction pattern.</p>},
	doi = {10.1103/PhysRevLett.98.030404},
	url = {http://hdl.handle.net/1963/2056},
	author = {Gao Xianlong and Matteo Rizzi and Marco Polini and Rosario Fazio and Mario P. Tosi and Vivaldo L. Jr. Campo and Klaus Capelle}
}
