A cavity-induced artificial gauge field in a Bose-Hubbard ladder
Abstract
We consider theoretically ultracold interacting bosonic atoms confined to quasi-one-dimensional ladder structures formed by optical lattices and coupled to the field of an optical cavity. The atoms can collect a spatial phase imprint during a cavity-assisted tunneling along a rung via Raman transitions employing a cavity mode and a transverse running wave pump beam. By adiabatic elimination of the cavity field we obtain an effective Hamiltonian for the bosonic atoms, with a self-consistency condition. Using the numerical density matrix renormalization group method, we obtain a rich steady state diagram of self-organized steady states. Transitions between superfluid to Mott-insulating states occur, on top of which we can have Meissner, vortex liquid, and vortex lattice phases. Also a state that explicitly breaks the symmetry between the two legs of the ladder, namely the biased-ladder phase is dynamically stabilized.
Keywords
Cite
@article{arxiv.1707.04123,
title = {A cavity-induced artificial gauge field in a Bose-Hubbard ladder},
author = {Catalin-Mihai Halati and Ameneh Sheikhan and Corinna Kollath},
journal= {arXiv preprint arXiv:1707.04123},
year = {2018}
}