Dynamics of one-dimensional Bose liquids: Andreev-like reflection at Y-junctions and absence of the Aharonov-Bohm effect

Abstract

We study one dimensional Bose liquids of interacting ultracold atoms in the Y-shaped potential when each branch is filled with atoms. We find that the excitation packet incident on a single Y-junction should experience a negative density reflection analogous to the Andreev reflection at normal-superconductor interfaces, although the present system does not contain fermions. In 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 the same geometry.

4 pages, 2 figures, final version

References in corpus (3)

• Bosonizing one-dimensional cold atomic gases
• Spin Hall effects for cold atoms in a light induced gauge potential
• Effective magnetic fields in degenerate atomic gases induced by light beams with orbital angular momenta

Cited by in corpus (7)

• Quantum spins on star graphs and the Kondo model
• Andreev reflection in bosonic condensates
• Frustration of decoherence in $Y$-shaped superconducting Josephson networks
• Thermodynamics of the Topological Kondo Model
• Ground states and dynamics of population-imbalanced Fermi condensates in one dimension
• Reflection and Refraction of Bose-condensate Excitations
• Rectification in Y-junctions of Luttinger liquid wires