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2012

Quantum ripples over a semi-classical shock

Bettelheim, Eldad, Glazman, Leonid

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The evolution of an initially smooth spatial inhomogeneity in the density of a one-dimensional Fermi gas is well described by classical mechanics.

The classical evolution leads to the formation of a shock wave: the density develops kinks in its coordinate dependence.
We show that quantum corrections to the shock wave produce density ripples which run off the kinks.
Despite their quantum origin, the amplitude and period of the ripples are expressed only in terms of classical objects derived from a smooth density profile.

Quantum ripples over a semi-classical shock · Around

Built on

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B. Riemann, Abhandl. König. Gesell. Wiss., Göttingen 8
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See also §101 of [ 4 ]
Cited in the paper.

Then

E. Bettelheim and P. B. Wiegmann, Phys. Rev. B 84
Original
2011
Later among the works it cites.
A. Bulgac, Y.-L. Luo, and K. J. Roche, Phys. Rev. Lett. 108
Original
2012
Closest in time.
I. V. Protopopov, D. B. Gutman, P. Schmitteckert, and A. D. Mirlin, ArXiv e-prints (2012), arXiv:1209.1079 [cond-mat.str-el]
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2012
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