title: Quantum quench in one dimension: coherent inhomogeneity amplification and "supersolitons".
abstract: 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.
authors.affiliation: Center for Materials Theory, Department of Physics and Astronomy, Rutgers University, Piscataway, New Jersey 08854, USA. psiborf@rci.rutgers.edu
authors.forename: Matthew S
authors.initials: MS
authors.lastname: Foster
authors.forename: Emil A
authors.initials: EA
authors.lastname: Yuzbashyan
authors.forename: Boris L
authors.initials: BL
authors.lastname: Altshuler