Onset of superfluidity in 2D optical lattices with bond percolation

R. Pugatch*, N. Bar-Gill, E. Rowen, N. Katz, N. Davidson

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


The onset of superfluidity in random media has been extensively studied with quantum He4 fluids. The recent observation of superfluid to Mott-insulator quantum phase transition in an ultra cold dilute Bose gas, presents a new prospect for studying such phenomena in a well controlled environment [1]. In particular, by introducing disorder in a controlled manner, new phases of matter are expected to form. Here we focus on the effect of hopping disorder on the onset of superfluidity of a BEC immersed in a deep and disordered optical lattice, where the use of the Bose-Hubbard Hamiltonian is justified. We introduce disorder via a bond percolation model by weakening each nearest-neighbor tunneling element with a probability p. We formulate and solve a renormalization-group equation to find the critical percolation threshold Pc and the accompanying critical exponent v [2]. We check different values for the strength of the weakened bond ranging from the Mott-insulator regime to the superfluid regime and find that there is a critical value under which the superfluid response will greatly diminish (see figure 1). We also analyze a mean field version of the same problem, and an exact ID model and indicate possible experiments that may support our results.

Original languageAmerican English
Title of host publication2005 Conference on Lasers and Electro-Optics Europe
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages1
ISBN (Print)0780389743, 9780780389748
StatePublished - 2005
Externally publishedYes
Event2005 Conference on Lasers and Elctro-Optics Europe - Munich, Germany
Duration: 12 Jun 200517 Jun 2005

Publication series

NameConference on Lasers and Electro-Optics Europe - Technical Digest


Conference2005 Conference on Lasers and Elctro-Optics Europe


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