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Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields

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arxiv 1404.4373 v3 pith:R5DL6GFR submitted 2014-04-16 cond-mat.quant-gas cond-mat.mes-hallquant-ph

N. Goldman , J. Dalibard This is my paper · ORCID
classification cond-mat.quant-gascond-mat.mes-hallquant-ph
keywords quantumdrivingdynamicseffectivefieldsgaugegeneralschemes
verification ladder T0 review T1 audit T2 compute T3 formal
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Driving a quantum system periodically in time can profoundly alter its long-time dynamics and trigger topological order. Such schemes are particularly promising for generating non-trivial energy bands and gauge structures in quantum-matter systems. Here, we develop a general formalism that captures the essential features ruling the dynamics: the effective Hamiltonian, but also the effects related to the initial phase of the modulation and the micro-motion. This framework allows for the identification of driving schemes, based on general N-step modulations, which lead to configurations relevant for quantum simulation. In particular, we explore methods to generate synthetic spin-orbit couplings and magnetic fields in cold-atom setups.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Strong Zero Modes in Supersymmetry-Inspired Quantum Circuits

    quant-ph 2026-07 accept novelty 6.5 of 10

    SUSY-inspired brick-wall circuits support both edge-localized and ballistically propagating strong zero modes that can be steered by mass parameters and used for quantum-information transport.

  2. Dynamical Polarization from Hidden Spin and Orbital Textures in p-Wave Magnets

    cond-mat.mes-hall 2026-07 conditional novelty 6.0 of 10

    Optically driven p-wave magnets develop a resonantly enhanced ac spin polarization at the 2J_sd exchange gap and a rectified, polarization-controlled dc orbital polarization invisible to period-averaged treatments.

  3. Floquet framework for driven polar quantum systems

    quant-ph 2026-06 unverdicted novelty 6.0 of 10

    Derives first-order Floquet effective Hamiltonian for polar driven two-level systems giving modified transverse coupling and detuning, plus a numerical flow-equation method valid across wider coupling ranges.

  4. Study on axial fields in the dynamically assisted Schwinger effect

    hep-ph 2025-01 conditional novelty 6.0 of 10

    A circularly polarized high-frequency wave creates an effective axial field that significantly boosts fermion pair production in the dynamically assisted Schwinger effect.

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