Dynamics of an impurity in a one-dimensional lattice

F Massel, A Kantian, A J Daley, T Giamarchi, P Törmä

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

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
Number of pages25
JournalNew Journal of Physics
Volume15
DOIs
Publication statusPublished - Apr 2013
Externally publishedYes

Fingerprint

impurities
baths
bosons
fermions
traps
momentum
harmonics
composite materials
configurations
atoms

Keywords

  • non-equilibrium dynamics
  • harmonic trap
  • polaron
  • cold atoms
  • optical lattices

Cite this

Massel, F ; Kantian, A ; Daley, A J ; Giamarchi, T ; Törmä, P. / Dynamics of an impurity in a one-dimensional lattice. In: New Journal of Physics. 2013 ; Vol. 15.
@article{5c29b056707c448c9a1dffe0079549bb,
title = "Dynamics of an impurity in a one-dimensional lattice",
abstract = "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.",
keywords = "non-equilibrium dynamics, harmonic trap, polaron, cold atoms, optical lattices",
author = "F Massel and A Kantian and Daley, {A J} and T Giamarchi and P T{\"o}rm{\"a}",
year = "2013",
month = "4",
doi = "10.1088/1367-2630/15/4/045018",
language = "English",
volume = "15",
journal = "New Journal of Physics",
issn = "1367-2630",

}

Dynamics of an impurity in a one-dimensional lattice. / Massel, F; Kantian, A; Daley, A J; Giamarchi, T; Törmä, P.

In: New Journal of Physics, Vol. 15, 045018, 04.2013.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Dynamics of an impurity in a one-dimensional lattice

AU - Massel, F

AU - Kantian, A

AU - Daley, A J

AU - Giamarchi, T

AU - Törmä, P

PY - 2013/4

Y1 - 2013/4

N2 - 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.

AB - 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.

KW - non-equilibrium dynamics

KW - harmonic trap

KW - polaron

KW - cold atoms

KW - optical lattices

UR - http://www.scopus.com/inward/record.url?scp=84876752714&partnerID=8YFLogxK

U2 - 10.1088/1367-2630/15/4/045018

DO - 10.1088/1367-2630/15/4/045018

M3 - Article

VL - 15

JO - New Journal of Physics

JF - New Journal of Physics

SN - 1367-2630

M1 - 045018

ER -