Escort distribution function of work done and diagonal entropies in quenched Luttinger liquids

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Abstract

We study the escort probability distribution function of work done during an interaction quantum quench of Luttinger liquids. It crosses over from the thermodynamic to the small system limit with increasing a, which is the order of the escort distribution, and depends on the universal combination [|Ki-Kf|/(Ki+KF)]a, with Ki, Kf the initial and final Luttinger liquid parameters, respectively. From its characteristic function, the diagonal Rényi entropies and the many-body inverse participation ratio (IPR) are determined to evaluate the information content of the time-evolved wave function in terms of the eigenstates of the final Hamiltonian. The hierarchy of overlaps is dominated by that of the ground states. The IPR exhibits a crossover from Gaussian to power-law decay with increasing interaction quench parameter.

Original languageEnglish
Article number245132
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume90
Issue number24
DOIs
Publication statusPublished - Dec 22 2014

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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