Dynamics of Dark Solitons in Superfluid Fermi Gases

Abstract

We present an analytical study on the dynamics of dark solitons in superfluid Fermi gases. By using the modified lens-type transformation, the dynamical equation of superfluid Fermi gases is reduced to a modified onedimensional nonlinear Shorödinger equation (NLSE). Once again, by using the reductive perturbation method, the NLSE is reduced to a standard Korteweg-de Vries equation which may be useful for understanding the dynamics of dark solitons in superfluid Fermi gases. The existence of dark soliton solutions in the Fermi gases is provided. In particular, we show that, by manipulating and controlling the scattering length between Fermi atomics of different components and the external potential, the soliton's parameters (amplitude and width) can be changed in a controllable way.

Evolution of the vortex state in the BCS–BEC crossover of a quasi two-dimensional superfluid Fermi gas

“…Since the first observation of Bose-Einstein condensation and Fermi superfluid phenomenon in ultracold atoms system, [1][2][3][4][5][6][7][8][9] tremendous attention in condensed matter community has been paid to this system both theoretically and experimentally [10][11][12][13][14][15][16][17] because of its high controllability. In particular, using the Feshbach resonance technique, [18,19] one can tune the two-body interaction at will.…”