Report
Mixtures of ultra-cold atoms in 1D disordered potentials
| العنوان: | Mixtures of ultra-cold atoms in 1D disordered potentials |
|---|---|
| المؤلفون: | Crepin, Francois, Zarand, Gergely, Simon, Pascal |
| المصدر: | Phys. Rev. A 85, 023625 (2012) |
| سنة النشر: | 2011 |
| المجموعة: | Condensed Matter |
| مصطلحات موضوعية: | Condensed Matter - Quantum Gases, Condensed Matter - Disordered Systems and Neural Networks, Condensed Matter - Strongly Correlated Electrons |
| الوصف: | We study interacting 1D two-component mixtures of cold atoms in a random potential, and extend the results reported earlier [{\it Phys. Rev. Lett.} {\bf 105}, 115301 (2010)]. We construct the phase diagram of a disordered Bose-Fermi mixture as a function of the strength of the Bose-Bose and Bose-Fermi interactions, and the ratio of the bosonic sound velocity and the Fermi velocity. Performing renormalization group and variational calculations, three phases are identified: (i) a fully delocalized two-component Luttinger liquid with superfluid bosons and fermions (ii) a fully localized phase with both components pinned by disorder, and (iii) an intermediate phase where fermions are localized but bosons are superfluid. Within the variational approach, each phase corresponds to a different level of replica symmetry breaking. In the fully localized phase we find that the bosonic and fermionic localization lengths can largely differ. We also compute the momentum distribution as well as the structure factor of the atoms (both experimentally accessible), and discuss how the three phases can be experimentally distinguished. Comment: 30 pages, 17 figures. Submitted to PRA |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevA.85.023625 |
| URL الوصول: | http://arxiv.org/abs/1111.2706 |
| رقم الانضمام: | edsarx.1111.2706 |
| قاعدة البيانات: | arXiv |
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