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The transmittivity of a Bose–Einstein condensate on a lattice: interference from period doubling and the effect of disorder

2003/04/30 by P. Vignolo, Patrizia Vignolo, Z. Akdeniz +1 · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #Strong Light-Matter Interactions #cond-mat.stat-mech

paper · pdf · doi:10.1088/0953-4075/36/22/013

published as J. Phys. B 36 (2003) 4535-4546 · 13 pages, 5 figures

arxiv created 2003/07/11 · openalex publication_date 2003/10/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

We evaluate the particle current flowing in steady state through a Bose–Einstein condensate subject to a constant force in a quasi-one-dimensional lattice and to attractive interactions from fermionic atoms that are localized in various configurations inside the lattice wells. The system is treated within a Bose–Hubbard tight binding model by an out-of-equilibrium Green function approach. A new band gap opens up when the lattice period is doubled by locating the fermions in alternate wells and yields an interference pattern in the transmittivity on varying the intensity of the driving force. The positions of the transmittivity minima are determined by matching the period of Bloch oscillations and the time for tunnelling across the band gap. Massive disorder in the distribution of the fermions will wash out the interference pattern. We report illustrative numerical results for a mixture of 87 Rb and 40 K atoms in an optical lattice created by laser beams with a wavelength of 763 nm. The period doubling of the lattice can also be experimentally realized in a four-beam set-up.

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