Physics – Condensed Matter – Quantum Gases
Scientific paper
2010-05-31
Phys. Rev. Lett. 105, 135701 (2010)
Physics
Condensed Matter
Quantum Gases
5 pages, 4 figures
Scientific paper
We study a quantum quench in a 1D system possessing Luttinger liquid (LL) and Mott insulating ground states before and after the quench, respectively. We show that the quench induces power law amplification in time of any particle density inhomogeneity in the initial LL ground state. The scaling exponent is set by the fractionalization of the LL quasiparticle number relative to the insulator. As an illustration, we consider the traveling density waves launched from an initial localized density bump. While these waves exhibit a particular rigid shape, their amplitudes grow without bound.
Altshuler Boris L.
Foster Matthew S.
Yuzbashyan Emil A.
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