Localized-interaction-induced quantum reflection and filtering of bosonic matter in a one-dimensional lattice guide

Year: 2016

Authors: Barbiero L., Malomed BA., Salasnich L.

Autors Affiliation: Univ Padua, Dipartimento Fis & Astron Galileo Galilei, I-35131 Padua, Italy; Tel Aviv Univ, Fac Engn, Dept Phys Elect, Sch Elect Engn, IL-69978 Tel Aviv, Israel; Univ Padua, CNISM, I-35131 Padua, Italy; INO CNR, Res Unit Sesto Fiorentino, Via Nello Carrara 1, I-50019 Sesto Fiorentino, Italy; SISSA, Via Bonomea 265, I-34136 Trieste, Italy.

Abstract: We study the dynamics of quantum bosonic waves in a one-dimensional tilted optical lattice. An effective spatially localized nonlinear two-body potential barrier is set at the center of the lattice. This version of the Bose-Hubbard model can be realized in atomic Bose-Einstein condensates, with the help of localized optical Feshbach resonance, controlled by a focused laser beam, and in quantum optics, using an arrayed waveguide with selectively doped guiding cores. Our numerical analysis demonstrates that the central barrier induces anomalous quantum reflection of incident wave packets, which acts solely on bosonic components with multiple onsite occupancies, while single-occupancy components pass the barrier, allowing one to distill them in the interaction zone. As a consequence, in this region one finds a hard-core-like state, in which the multiple occupancy is forbidden. Our results demonstrate that this regime can be attained dynamically, using relatively weak interactions, irrespective of their sign. Physical parameters necessary for the experimental implementation of the setting in ultracold atomic gases are estimated.

Journal/Review: NEW JOURNAL OF PHYSICS

Volume: 18      Pages from: 55007-1  to: 55007-9

More Information: We appreciate a valuable discussion with M D Lukin. This work was supported by MIUR (FIRB 2012, Grant No. RBFR12NLNA-002; PRIN 2013, Grant No. 2010LLKJBX). L B thanks CNR-INO BEC Center in Trento for CPU time.
KeyWords: matter waves; Bose-Einstein condensates in periodic potentials; renormalization group methods
DOI: 10.1088/1367-2630/18/5/055007

Citations: 2
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