Dynamics of onedimensional Bose liquids Andreevlike reflection at Yjunctions and absence.pdfVIP

Dynamics of one-dimensional Bose liquids: Andreev-like reflection at Y-junctions and absence of the Aharonov-Bohm effect 1,2 1 3 Akiyuki Tokuno , Masaki Oshikawa , Eugene Demler 1Institute for Solid State Physics, University of Tokyo, Kashiwa 227-8581 Japan 2 Department of Physics, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo 152-8551 Japan 3 Department of Physics, Harvard University, MA 02138 8 0 (Dated: April 14, 2008) 0 We study one dimensional Bose liquids of interacting ultracold atoms in the Y-shaped potential 2 when each branch is filled with atoms. We find that the excitation packet incident on a single r Y-junction should experience a negative density reflection analogous to the Andreev reflection at p normal-superconductor interfaces, although the present system does not contain fermions. In a A ring interferometer type configuration, we find that the transport is completely insensitive to the (effective) flux contained in the ring, in contrast to the Aharonov-Bohm effect of a single particle in 4 the same geometry. 1 PACS numbers: 03.75.Kk ] r e h Recently, guiding of atoms in low-dimensionally mag- simply using an analogy with electromagnetic transmis- t o netic traps has been actively studied [1]. Such systems sion line three-way junction. For an ideal three-way junc- t. provide an ideal opport