Synthetic magnetism in strongly-correlated lattice gases

• Applicant: Professor Dr. Luis Santos
• Subject Area: Optics, Quantum Optics and Physics of Atoms, Molecules and Plasmas
• Term: from 2016 to 2020
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 320352392

• Final Report Year: 2019

Final Report Abstract

Synthetic magnetism in neutral quantum gases constitutes one of the most active research fields in coldatom physics. This project has been organized along two complementary goals related to this rapidlygrowing field. The first part of the project analyzed the role of inter-particle interactions in the presence of synthetic gauge fields. We have focused on realistic scenarios currently available in on-going experiments, in particular on systems with so-called synthetic dimensions. The second goal of this project was to investigate a realistic exploration path towards the simulation of density-dependent and dynamical gauge fields with cold atoms in optical lattices. Although we have continued with our analysis of anyon-Hubbard models (density-dependent gauge fields), we have started a new research line on dynamical gauge fields, and specifically on quantum-link ladders. We have shown that two-leg quantum-link ladders present a surprising symmetry-protected topological phase, whereas multi-leg ladders are characterized by the appearance of a novel disordered deconfined phase.

Publications

• Symmetry-broken states in a system of interacting bosons on a two-leg ladder with a uniform Abelian gauge field, Phys. Rev. A 94, 063628 (2016)
  S. Greschner, M. Piraud, F. Heidrich-Meisner, I. P. McCulloch, U. Schollwöck, and T. Vekua
  
• Ground-state properties of the one-dimensional unconstrained pseudo-anyon Hubbard model, Phys. Rev. A 95, 053614 (2017)
  W. Zhang, S. Greschner, E. Fan, T. C. Scott, and Y. Zhang
  
• Hidden Order and Symmetry Protected Topological States in Quantum Link Ladders, Phys. Rev. Lett. 119, 180402 (2017)
  L. Cardarelli, S. Greschner, and L. Santos
  
• Unconventional phases of attractive Fermi gases in synthetic Hall ribbons, Phys. Rev. A 95, 063612 (2017)
  S. K. Ghosh, S. Greschner, U. K. Yadav, T. Mishra, M. Rizzi, and V. B. Shenoy
  
• Vortex-Hole Duality: A Unified Picture of Weak- and Strong-Coupling Regimes of Bosonic Ladders with Flux, Phys. Rev. Lett. 119, 073401 (2017)
  S. Greschner and T. Vekua
  
• Probing the exchange statistics of onedimensional anyon models, Phys. Rev. A 97, 053605 (2018)
  S. Greschner, L. Cardarelli, and L. Santos
  
• Quantum phases of strongly interacting bosons on a two-leg Haldane ladder, Phys. Rev. A 97, 033619 (2018)
  S. Greschner and F. Heidrich-Meisner