Superdiffusive nonequilibrium motion of an impurity in a Fermi sea

Abstract

We treat the nonequilibrium motion of a single impurity atom in a low-temperature single-species Fermi sea, interacting via a contact interaction. In the nonequilibrium regime, the impurity does a superdiffusive geometric random walk where the typical distance traveled grows with time as $\sim t^{d/(d+1)}$ for the $d$-dimensional system with $d\ge 2$. For nonzero temperature $T$, this crosses over to diffusive motion at long times with diffusivity $D\sim T^{-(d-1)/2}$. These results apply also to a nonzero concentration of impurity atoms as long as they remain dilute and nondegenerate.

5 pages, 1 figure, to appear in Phys. Rev. A

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Cited by in corpus (5)

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• The self-energy of an impurity in an ideal Fermi gas to second order in the interaction strength
• Dynamics of impurity in the environment of Dirac fermions
• Impurity in a zero-temperature three-dimensional Fermi gas