Simulating quantum transport with ultracold atoms and interaction effects

Sho Nakada, Shun Uchino, Yusuke Nishida

Research output: Contribution to journalArticlepeer-review

Abstract

Quantum transport can be simulated with ultracold atoms by employing spin superpositions of fermions interacting with spin-dependent potentials. Here we first extend this scheme to an arbitrary number of spin components so as to allow simulating transport through a multiterminal quantum dot and derive a current formula in terms of a spin rotation matrix and potential phase shifts. We then show that a Fano resonance manifests itself in measuring a linear conductance at zero temperature in the case of two spin components. We also study how a weak interparticle interaction in bulk affects quantum transport in one dimension with the bosonization and renormalization techniques. In particular, we find that the conductance vanishes for an attractive interaction due to a bulk spin gap, while it is enhanced for a repulsive interaction by a power law with lowering the temperature or the chemical potential difference.

Original languageEnglish
Article number031302
JournalPhysical Review A
Volume102
Issue number3
DOIs
Publication statusPublished - 2020 Sep

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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