Strongly correlated magnetic phases of the spin orbit coupled spin-1 Bose-Hubbard chain

ORAL

Abstract

Motivated by the ability to engineer artificial gauge fields in ultra cold atomic gases we consider the strong coupling phases of the one-dimensional spin-1 Bose-Hubbard model in the presence of a spin orbit coupling. We determine the low energy magnetic Hamiltonian that describes the bosonic Mott insulating phases with an odd integer filling, which is a spin-1 ferromagnetic bilinear-biquadratic model in a spiral magnetic field. We solve the effective spin Hamiltonian using the density matrix renormalization group and determine the zero temperature quantum phase diagram.

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Authors

  • Jedediah Pixley

    Condensed Matter Theory Center and Joint Quantum Institute, Department of Physics, University of Maryland, College Park

  • William Cole

    Condensed Matter Theory Center and Joint Quantum Institute, Department of Physics, University of Maryland, College Park

  • Matteo Rizzi

    University of Mainz, Institute of Physics

  • Ian Spielman

    NIST, Joint Quantum Institute, University of Maryland, Joint Quantum Institute, National Institute of Standards and Technology, and University of Maryland, University of Maryland, College Park \& NIST