Interplay of localization lengths in two-component mixtures of one-dimensional cold atoms

François Crépin, G. Zaránd, Pascal Simon

Research output: Contribution to journalArticle

Abstract

The interplay between disorder and interactions in quantum systems is a long-standing topic of condensed matter physics. We study the fate of a two-component one-dimensional mixture of cold atoms in the presence of a weak random potential. We show how disorder-induced localization of one species can influence the localization of the other species through interactions and identity three distinct phases: a delocalized phase described by a two-component Luttinger liquid, a hybrid phase where only one species is localized and a fully localized phase where both components of the mixture are localized. The latter phase is characterized by two nested localization length scales. We present the possible signatures of these phases in various observables such as the structure factors (related to Bragg scattering experiments) and the momentum distributions observed in time-of-flight experiments.

Original languageEnglish
Article number014058
JournalPhysica Scripta
Issue numberT151
DOIs
Publication statusPublished - Nov 2012

Fingerprint

disorders
atoms
condensed matter physics
Disorder
signatures
interactions
momentum
Random Potential
Time-of-flight
Structure Factor
liquids
scattering
Interaction
Length Scale
Quantum Systems
Experiment
Signature
Momentum
Physics
Scattering

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Atomic and Molecular Physics, and Optics
  • Mathematical Physics
  • Physics and Astronomy(all)

Cite this

Interplay of localization lengths in two-component mixtures of one-dimensional cold atoms. / Crépin, François; Zaránd, G.; Simon, Pascal.

In: Physica Scripta, No. T151, 014058, 11.2012.

Research output: Contribution to journalArticle

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