Bosonic fractional quantum Hall states in driven optical lattices

Abstract

Strong synthetic magnetic fields have been successfully implemented in periodically driven optical lattices. However, the interplay of the driving and interactions introduces detrimental heating, and for this reason it is still challenging to reach a fractional quantum Hall state in cold-atom setup. By performing a numerical study, we investigate stability of a bosonic Laughlin state in a small atomic sample exposed to driving. We identify an optimal regime of microscopic parameters, in particular interaction strength $U$ and the driving frequency $\omega$, such that the stroboscopic dynamics supports the basic $\nu =1/2$ Laughlin state. Moreover, we explore slow ramping of a driving term and show that the considered protocol allows for the preparation of the Laughlin state on experimentally realistic time scales.

arXiv comment11 pages, 7 figures

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• Fractional Chern insulators of few bosons in a box: Hall plateaus from center-of-mass drifts and density profiles
• Recent Developments in Fractional Chern Insulators
• Charge and statistics of lattice quasiholes from density measurements: a Tree Tensor Network study
• Detecting Fractional Chern Insulators in Optical Lattices through Quantized Displacement
• Measurable signatures of bosonic fractional Chern insulator states and their fractional excitations in a quantum-gas microscope
• Local density of states and particle entanglement in topological quantum fluids
• Growing Extended Laughlin States in a Quantum Gas Microscope: A Patchwork Construction
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• Floquet Flux Attachment in Cold Atomic Systems
• Adiabatic preparation of fractional Chern insulators from an effective thin-torus limit
• Interaction-driven transition between the Wigner crystal and the fractional Chern insulator in topological flat bands
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• A Scaling Function for the Particle Entanglement Entropy of Fermions
• Chiral Edge Excitations of $\nu =1/2$ Fractional Chern Insulators in the Bosonic Hofstadter Model