Realization of uniform synthetic magnetic fields by periodically shaking an optical square lattice

Abstract

Shaking a lattice system, by modulating the location of its sites periodically in time, is a powerful method to create effective magnetic fields in engineered quantum systems, such as cold gases trapped in optical lattices. However, such schemes are typically associated with space-dependent effective masses (tunneling amplitudes) and non-uniform flux patterns. In this work we investigate this phenomenon theoretically, by computing the effective Hamiltonians and quasienergy spectra associated with several kinds of lattice-shaking protocols. A detailed comparison with a method based on moving lattices, which are added on top of a main static optical lattice, is provided. This study allows the identification of novel shaking schemes, which simultaneously provide uniform effective mass and magnetic flux, with direct implications for cold-atom experiments and photonics.

15 pages, 10 eps figures

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Cited by in corpus (24)

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• Parametric Instability Rates in Periodically-Driven Band Systems
• Creating anomalous Floquet Chern insulators with magnetic quantum walks
• Tunable axial gauge fields in engineered Weyl semimetals: Semiclassical analysis and optical lattice implementations
• The quantized Hall conductance of a single atomic wire: A proposal based on synthetic dimensions
• Loading Ultracold Gases in Topological Floquet Bands: Current and Center-of-Mass Responses
• Generation of atypical hopping and interactions by kinetic driving
• Floquet Heating in Interacting Atomic Gases with an Oscillating Force
• Synthetic gauge field in two interacting ultracold atomic gases without an optical lattice
• Fast and direct preparation of a genuine lattice BEC via the quantum Mpemba effect
• Meissner effect in Fock space
• Generating soliton trains through Floquet engineering
• Cat states in a driven superfluid: role of signal shape and switching protocol
• Floquet analysis of time-averaged trapping potentials
• Many topological regions on the Bloch sphere of the spin-1/2 double kicked top
• Topological Phase Diagram of Optimally Shaken Honeycomb Lattices: A Dual Perspective from Stroboscopic and Non-Stroboscopic Floquet Hamiltonians
• Two-particle topological Thouless spin pump
• Sachdev-Ye-Kitaev physics from the Hubbard model: A Floquet engineering approach
• Survival of current in a periodically driven hard-core bosonic system
• Expansion of a one-dimensional Bose gas: the role of interactions and kinetic-energy driving