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Article Dans Une Revue Physical Review X Année : 2014

Periodically Driven Quantum Systems: Effective Hamiltonians and Engineered Gauge Fields

Résumé

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 nontrivial 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 micromotion. 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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hal-01340120 , version 1 (30-06-2016)

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N Goldman, J Dalibard. Periodically Driven Quantum Systems: Effective Hamiltonians and Engineered Gauge Fields. Physical Review X, 2014, 4 (3), pp.031027. ⟨10.1103/PhysRevX.4.031027⟩. ⟨hal-01340120⟩
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