We predict the existence of self-trapping, stable, moving solitons and breathers of Fermi wave packets along the Bose-Einstein condensation (BEC)-BCS crossover in one dimension (1D), 2D, and 3D optical lattices. The dynamical phase diagrams for self-trapping, solitons, and breathers of the Fermi matter waves along the BEC-BCS crossover are presented analytically and verified numerically by directly solving a discrete nonlinear Schrödinger equation. We find that the phase diagrams vary greatly along the BEC-BCS crossover; the dynamics of Fermi wave packet are different from that of Bose wave packet.We predict the existence of self-trapping, stable, moving solitons and breathers of Fermi wave packets along the Bose-Einstein condensation (BEC)-BCS crossover in one dimension (1D), 2D, and 3D optical lattices. The dynamical phase diagrams for self-trapping, solitons, and breathers of the Fermi matter waves along the BEC-BCS crossover are presented analytically and verified numerically by directly solving a discrete nonlinear Schrödinger equation. We find that the phase diagrams vary greatly along the BEC-BCS crossover; the dynamics of Fermi wave packet are different from that of Bose wave packet.

Physical Review LettersOct 28, 200855 citations

Manipulating the critical temperature for the superfluid phase transition in trapped atomic Fermi gases

Christopher P. Search, Han Pu, W. Zhang +2 more

We examine the effect of the trapping potential on the critical temperature ${T}_{C}$ for the BCS transition to a superfluid state in trapped atomic gases of fermions. ${T}_{C}$ for an arbitrary power-law trap is calculated in the Thomas-Fermi approximation. For anharmonic traps, ${T}_{C}$ can be increased by several orders of magnitude in comparison to a harmonic trap. Our theoretical results indicate that, in practice, one could manipulate the critical temperature for the BCS phase transition by shaping the traps confining the atomic Fermi gases.We examine the effect of the trapping potential on the critical temperature ${T}_{C}$ for the BCS transition to a superfluid state in trapped atomic gases of fermions. ${T}_{C}$ for an arbitrary power-law trap is calculated in the Thomas-Fermi approximation. For anharmonic traps, ${T}_{C}$ can be increased by several orders of magnitude in comparison to a harmonic trap. Our theoretical results indicate that, in practice, one could manipulate the critical temperature for the BCS phase transition by shaping the traps confining the atomic Fermi gases.

arXiv:cond-mat/0111548Physical Review AJun 14, 200210 citations

We examine the effect of the trapping potential on the critical temperature

{T}_{C}

for the BCS transition to a superfluid state in trapped atomic gases of fermions.

{T}_{C}

for an arbitrary power-law trap is calculated in the Thomas-Fermi approximation. For anharmonic traps,

{T}_{C}

can be increased by several orders of magnitude in comparison to a harmonic trap. Our theoretical results indicate that, in practice, one could manipulate the critical temperature for the BCS phase transition by shaping the traps confining the atomic Fermi gases.