Long-range transverse Ising model built with dipolar condensates in two-well arrays

Yongyao Li, Wei Pang, Jun Xu, Chaohong Lee, Boris A. Malomed, Luis Santos

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

Dipolar Bose-Einstein condensates in an array of double-well potentials realize an effective transverse Ising model with peculiar inter-layer interactions, that may result under proper conditions in an anomalous first-order ferromagnetic-antiferromagnetic phase transition, and non-trivial phases due to frustration. The considered setup allows as well for the study of Kibble-Zurek defect formation, whose kink statistics follows that expected from the universality class of the mean-field one-dimensional transverse Ising model. Furthermore, random occupation of each layer of the stack leads to random effective Ising interactions and local transverse fields, that may lead to the Anderson-like localization of imbalance perturbations.

Original languageEnglish
Article number013030
JournalNew Journal of Physics
Volume19
Issue number1
DOIs
StatePublished - Jan 2017

Funding

FundersFunder number
National Science Foundation
United States-Israel Binational Science Foundation
Tel Aviv University
US-Israel
Deutsche ForschungsgemeinschaftRTG 1729, FOR 2247
National Natural Science Foundation of China11374375, 11575063, 11574405
Directorate for Biological Sciences2015616
German-Israel FoundationI-1024-2.7/2009

    Keywords

    • Anderson localization
    • KibbleZurek scenario
    • dipoledipole interactions
    • long-range Ising model

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