Unified Description of Tunneling Transport in Ultracold Atomic Gases

Kavli Affiliate: Mamoru Matsuo

| First 5 Authors: Hiroyuki Tajima, Daigo Oue, Mamoru Matsuo, ,

| Summary:

We derive tunneling Hamiltonians from a microscopic model of ultracold atoms
separated by an external potential barrier. Not only usual one-body tunneling
but also pair- and spin-tunneling processes naturally arise from a well-known
microscopic model without any empirical parameters, where the tunneling process
occurs via local transfer in the overlapped region of the many-body wave
functions around the potential barrier. Applying the Schwinger-Keldysh
formalism to the effective model in the momentum space, we demonstrate how
anomalous tunneling currents occur via the tunneling Hamiltonians in strongly
interacting systems. Our formulation is useful for various junction systems as
well as sheds light on a clear connection between atomtronics and spintronics.

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