TY - JOUR

T1 - Dynamics of waves in one-dimensional electron systems

T2 - Density oscillations driven by population inversion

AU - Protopopov, I. V.

AU - Gutman, D. B.

AU - Schmitteckert, P.

AU - Mirlin, A. D.

PY - 2013/1/14

Y1 - 2013/1/14

N2 - We explore dynamics of a density pulse induced by a local quench in a one-dimensional electron system. The spectral curvature leads to an "overturn" (population inversion) of the wave. We show that beyond this time, the density profile develops strong oscillations with a period much larger than the Fermi wavelength. The effect is studied first for the case of free fermions by means of direct quantum simulations and via semiclassical analysis of the evolution of Wigner function. We demonstrate then that the period of oscillations is correctly reproduced by a hydrodynamic theory with an appropriate dispersive term. Finally, we explore the effect of different types of electron-electron interaction on the phenomenon. We show that sufficiently strong interaction [U(r)â‰1/mr2 where m is the fermionic mass and r the relevant spatial scale] determines the dominant dispersive term in the hydrodynamic equations. Hydrodynamic theory reveals crucial dependence of the density evolution on the relative sign of the interaction and the density perturbation.

AB - We explore dynamics of a density pulse induced by a local quench in a one-dimensional electron system. The spectral curvature leads to an "overturn" (population inversion) of the wave. We show that beyond this time, the density profile develops strong oscillations with a period much larger than the Fermi wavelength. The effect is studied first for the case of free fermions by means of direct quantum simulations and via semiclassical analysis of the evolution of Wigner function. We demonstrate then that the period of oscillations is correctly reproduced by a hydrodynamic theory with an appropriate dispersive term. Finally, we explore the effect of different types of electron-electron interaction on the phenomenon. We show that sufficiently strong interaction [U(r)â‰1/mr2 where m is the fermionic mass and r the relevant spatial scale] determines the dominant dispersive term in the hydrodynamic equations. Hydrodynamic theory reveals crucial dependence of the density evolution on the relative sign of the interaction and the density perturbation.

UR - http://www.scopus.com/inward/record.url?scp=84872952532&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.87.045112

DO - 10.1103/PhysRevB.87.045112

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SN - 1098-0121

VL - 87

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

IS - 4

M1 - 045112

ER -