Generation of uniform synthetic magnetic fields by split driving of an optical lattice

Abstract

We describe a method to generate a synthetic gauge potential for ultracold atoms held in an optical lattice. Our approach uses a time-periodic driving potential based on two quickly alternating signals to engineer the appropriate Aharonov-Bohm phases, and permits the simulation of a uniform tunable magnetic field. We explicitly demonstrate that our split driving scheme reproduces the behavior of a charged quantum particle in a magnetic field over the complete range of field strengths, and obtain the Hofstadter butterfly band-structure for the Floquet quasienergies at high fluxes.

5 pages, 3 eps figures

References in corpus (10)

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• Non-Abelian gauge fields and topological insulators in shaken optical lattices
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Cited by in corpus (15)

• Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
• Atomic quantum gases in periodically driven optical lattices
• Floquet analysis of a quantum system with modulated periodic driving
• Creating anomalous Floquet Chern insulators with magnetic quantum walks
• Transverse collisional instabilities of a Bose-Einstein condensate in a driven one-dimensional lattice
• Realization of uniform synthetic magnetic fields by periodically shaking an optical square lattice
• Sublattice dynamics and quantum state transfer of doublons in two-dimensional lattices
• Bloch oscillations in non-Hermitian lattices with trajectories in complex plane
• Loading Ultracold Gases in Topological Floquet Bands: Current and Center-of-Mass Responses
• Modified interactions in a Floquet topological system on a square lattice and their impact on a bosonic fractional Chern insulator state
• Stability of a Bose-Einstein condensate in a driven optical lattice: Crossover between weak and tight transverse confinement
• Trapped Bose-Einstein condensates in synthetic magnetic field
• Time-optimal control fields for quantum systems with multiple avoided crossings
• Cat states in a driven superfluid: role of signal shape and switching protocol
• Stability of superfluids in tilted optical lattices with periodic driving