Synthetic gauge fields in synthetic dimensions: interactions and chiral edge modes

2015/10/19 by Simone Barbarino, Luca Taddia, Davide Rossini +2 · 2 citations
Physics and Astronomy · #Asymmetry #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Density matrix renormalization group #Field (mathematics) #Gauge (firearms) #Gauge theory #Magnetic field #Momentum (technical analysis) #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum Hall effect #Quantum electrodynamics #Quantum many-body systems #Quantum mechanics #Spin (aerodynamics) #Ultracold atom #cond-mat.quant-gas #quant-ph

paper · pdf · doi:10.1088/1367-2630/18/3/035010

published as New J. Phys. 18, 035010 (2016) · 16 pages, 8 figures, 1 appendix

arxiv created 2015/10/19 · openalex publication_date 2016/03/11 · arxiv updated 2016/03/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Synthetic ladders realized with one-dimensional alkaline-earth(-like) fermionic gases and subject to a gauge field represent a promising environment for the investigation of quantum Hall physics with ultracold atoms. Using density-matrix renormalization group calculations, we study how the quantum Hall-like chiral edge currents are affected by repulsive atom–atom interactions. We relate the properties of such currents to the asymmetry of the spin resolved momentum distribution function, a quantity which is easily addressable in state-of-art experiments. We show that repulsive interactions significantly enhance the chiral currents. Our numerical simulations are performed for atoms with two and three internal spin states.

Citations

• Visualizing edge states with an atomic Bose gas in the quantum Hall regime
• Colloquium: Artificial gauge potentials for neutral atoms
• Quantum Simulation of an Extra Dimension
• Vortex and Meissner phases of strongly interacting bosons on a two-leg ladder
• Bosonic Mott Insulator with Meissner Currents
• Two-Dimensional Magnetotransport in the Extreme Quantum Limit
• Topological insulators and superconductors
• SU(N)magnetism in chains of ultracold alkaline-earth-metal atoms: Mott transitions and quantum correlations
• Realization of the Hofstadter Hamiltonian with Ultracold Atoms in Optical Lattices
• Diamagnetism of doped two-leg ladders and probing the nature of their commensurate phases
• Topological Insulators
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• The density-matrix renormalization group in the age of matrix product states
• Light-induced gauge fields for ultracold atoms

Cited by

• Measuring Chern numbers in Hofstadter strips
• Topological Devil’s staircase in atomic two-leg ladders