2015/11/30 by Asaad R. Sakhel · 1 citation
Chemistry · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #Spectroscopy and Laser Applications #cond-mat.quant-gas
paper · pdf · doi:10.1103/physreva.94.033622
This is a further updated version with more explanations
arxiv created 2016/06/03 · openalex created_date 2016/06/24 · openalex publication_date 2016/09/19 · arxiv updated 2016/10/12 · openalex updated_date 2026/07/30
The properties of interacting bosons in a weak, one-dimensional, and bichromatic optical with a rational ratio of the constituting wavelengths λ1 and λ2 are numerically examined along a broad range of the Lieb-Liniger interaction parameter γ passing through the Sine-Gordon transition. It is argued that there should not be much difference in the results between those due to an irrational ratio λ1/λ2 and due to a rational approximation of the latter. For a weak bichromatic optical lattice, it is chiefly demonstrated that this transition is robust against the introduction of quasidisorder via a weaker, secondary, and incommensurate optical lattice superimposed on the primary one. The properties, such as the correlation function, Matsubara Green's function, and the single-particle density matrix, do not respond to changes in the depth of the secondary optical lattice V1. For a stronger bichromatic optical lattice, however, a response is observed because of changes in V1. It is found accordingly, that holes in the SG regime play an important role in the response of properties to changes in γ. The continuous-space worm algorithm Monte Carlo method [Boninsegni \ea, Phys. Rev. E 74, 036701 (2006)] is applied for the present examination. It is found that the worm algorithm is able to reproduce the Sine-Gordon transition that has been observed experimentally [Haller \ea, Nature 466, 597 (2010)].