Physics – Condensed Matter – Quantum Gases
Scientific paper
2012-01-05
Phys. Rev. A 85, 043603 (2012)
Physics
Condensed Matter
Quantum Gases
5 pages, 1 figure, to appear in Phys. Rev. A
Scientific paper
10.1103/PhysRevA.85.043603
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 $d\geq 2$. 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.
Huse David A.
Kim Hyungwon
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