Dynamics of an impurity in a one-dimensional lattice

Research output: Contribution to journalArticleScientificpeer-review


  • F. Massel
  • A. Kantian
  • A.D. Daley
  • T. Giamarchi
  • P. Törmä

Research units

  • University of Geneva
  • University of Pittsburgh


We study the non-equilibrium dynamics of an impurity in a harmonic trap that is kicked with a well-defined quasi-momentum, and interacts with a bath of free fermions or interacting bosons in a one-dimensional lattice configuration. Using numerical and analytical techniques we investigate the full dynamics beyond linear response, which allows us to quantitatively characterize states of the impurity in the bath for different parameter regimes. These vary from a tightly bound molecular state in a strongly interacting limit to a polaron (dressed impurity) and a free particle for weak interactions, with composite behaviour in the intermediate regime. These dynamics and different parameter regimes should be readily realizable in systems of cold atoms in optical lattices.


Original languageEnglish
Article number045018
Pages (from-to)1-25
Number of pages25
JournalNew Journal of Physics
Publication statusPublished - Apr 2013
MoE publication typeA1 Journal article-refereed

    Research areas

  • ultracold quantum gases, impurities, quantum many-body physics, one-dimensional physics

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