Quantum Hall Physics with Cold Atoms in Cylindrical Optical Lattices

Abstract

We propose and study various realizations of a Hofstadter-Hubbard model on a cylinder geometry with fermionic cold atoms in optical lattices. The cylindrical optical lattice is created by copropagating Laguerre-Gauss beams, i.e.~light beams carrying orbital angular momentum. By strong focusing of the light beams we create a real space optical lattice in the form of rings, which are offset in energy. A second set of Laguerre-Gauss beams then induces a Raman-hopping between these rings, imprinting phases corresponding to a synthetic magnetic field (artificial gauge field). In addition, by rotating the lattice potential, we achieve a slowly varying flux through the hole of the cylinder, which allows us to probe the Hall response of the system as a realization of Laughlin's thought experiment. We study how in the presence of interactions fractional quantum Hall physics could be observed in this setup.

10 pages, 9 figures

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• Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
• Visualizing edge states with an atomic Bose gas in the quantum Hall regime
• Tunable gauge potential for neutral and spinless particles in driven lattices
• Strongly Correlated Quantum Walks in Optical Lattices
• A one-dimensional liquid of fermions with tunable spin
• Spectroscopic observation of SU(N)-symmetric interactions in Sr orbital magnetism
• Optical ferris wheel for ultracold atoms
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• Optical Flux Lattices for Ultracold Atomic Gases
• Direct observation of coherent inter-orbital spin-exchange dynamics
• Angular momentum of focused beams: beyond the paraxial approximation
• Observation of Fermi surface deformation in a dipolar quantum gas
• Dynamical Quasicondensation of Hard-Core Bosons at Finite Momenta
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• Quantum simulation of non-trivial topology
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Cited by in corpus (54)

• Topological Photonics
• Topological Photonics
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• Synthetic three-dimensional atomic structures assembled atom by atom
• Topological quantum matter in synthetic dimensions
• Synthetic dimensions in integrated photonics: From optical isolation to 4D quantum Hall physics
• Topological quantum matter with cold atoms
• Probing the Berry Curvature and Fermi Arcs of a Weyl Circuit
• Synthetic Dimensions for Cold Atoms from Shaking a Harmonic Trap
• Laughlin-like states in bosonic and fermionic atomic synthetic ladders
• Symmetry fractionalization in the topological phase of the spin-$\frac{1}{2}$ $J_1$-$J_2$ triangular Heisenberg model
• Many-body Chern number from statistical correlations of randomized measurements
• Synthetic gauge fields in synthetic dimensions: Interactions and chiral edge modes
• Precursor of Laughlin state of hard core bosons on a two leg ladder
• Synthetic Dimensions with Magnetic Fields and Local Interactions in Photonic Lattices
• Driven dissipative dynamics and topology of quantum impurity systems
• Low-dimensional quantum gases in curved geometries
• Synthetic dimensions in the strong-coupling limit: supersolids and pair-superfluids
• Floquet Engineering of Haldane Chern Insulators and Chiral bosonic phase transitions
• Quantized superfluid vortex dynamics on cylindrical surfaces and planar annuli
• Creating topological interfaces and detecting chiral edge modes in a 2D optical lattice
• Bose-Einstein Condensate on a Synthetic Topological Hall Cylinder
• Extended Bose-Hubbard Model with dipolar and contact interactions
• Bosonic Fractional Quantum Hall States on a Finite Cylinder
• Pretopological fractional excitations in the two-leg flux ladder
• On Small Beams with Large Topological Charge
• Superfluidity in the 1D Bose-Hubbard Model
• Detecting Fractional Chern Insulators in Optical Lattices through Quantized Displacement
• Coupled Atomic Wires in a Synthetic Magnetic Field
• Optical Lattice with Torus Topology
• Bose-Hubbard physics in synthetic dimensions from interaction Trotterization
• Probing the exchange statistics of one-dimensional anyon models
• Emergent periodic and quasiperiodic lattices on surfaces of synthetic Hall tori and synthetic Hall cylinders
• Quantum walk of a Bose-Einstein condensate in the Brillouin zone
• Charge density wave and charge pump of interacting fermions in circularly shaken hexagonal optical lattices
• Discrete-Time Quantum-Walk & Floquet Topological Insulators via Distance-Selective Rydberg-Interaction
• Competing orders in the Hofstadter t-J model
• Snapshot-based detection of $\frac{1}{2}$-Laughlin states: coupled chains and central charge
• Bosonic Double Ring Lattice Under Artificial Gauge Fields
• Optomechanical transport of cold atoms induced by structured light
• Emergent bosons in the fermionic two-leg flux ladder
• Spin-gap spectroscopy in a bosonic flux ladder
• Tuning the Drude weight of Dirac-Weyl fermions in one-dimensional ring traps
• Characterizing the temporal rotation and radial twist of the interference pattern of vortex beam
• Controlled parity switch of persistent currents in quantum ladders
• Drude weight increase by orbital and repulsive interactions in fermionic ladders
• Measuring topological entanglement entropy using Maxwell relations
• Dipolar Bose-Hubbard Model in finite-size real-space cylindrical lattices
• Specialising Neural-network Quantum States for the Bose Hubbard Model
• Drude weights in one-dimensional systems with a single defect
• Chirped Bloch-Harmonic oscillations in a parametrically forced optical lattice
• Instability and particle current control of a parametrically driven Bose-Einstein condensate in a ring-shaped lattice
• Cold atoms interacting with highly twisted laser beams mimic the forces involved in Millikan's experiment
• Quantum States and Spectra of Small Cylindrical and Toroidal Lattices