Quantum quench in 1D: Coherent inhomogeneity amplification and 'supersolitons'

Understand

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.