Quantum magnetism of bosons with synthetic gauge fields in one-dimensional optical lattices: A density-matrix renormalization-group study

Marie Piraud, Zi Cai, Ian P. McCulloch, and Ulrich Schollwöck

Phys. Rev. A 89, 063618 – Published 25 June 2014

Abstract

In this paper, we provide a comprehensive study of the quantum magnetism in the Mott insulating phases of the one-dimensional (1D) Bose-Hubbard model with Abelian or non-Abelian synthetic gauge fields, using the density-matrix renormalization-group (DMRG) method. We focus on the interplay between the synthetic gauge field and the asymmetry of the interactions, which give rise to a very general effective magnetic model: an XYZ model with various Dzyaloshinskii-Moriya (DM) interactions. The properties of the different quantum magnetic phases and phases transitions of this model are investigated.

Received 24 March 2014

DOI:https://doi.org/10.1103/PhysRevA.89.063618

Authors & Affiliations

Marie Piraud¹, Zi Cai¹, Ian P. McCulloch², and Ulrich Schollwöck¹

¹Fakultät für Physik, Ludwig-Maximilians Universität München, Theresienstrasse 37, D-80333 München, Germany
²Centre for Engineered Quantum Systems, School of Physical Sciences, University of Queensland, Brisbane, Queensland 4072, Australia

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Vol. 89, Iss. 6 — June 2014

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