Periodically Driven Quantum Systems: Effective Hamiltonians and Engineered Gauge Fields

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 t...

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Bibliographic Details
Published in:	Physical review. X Vol. 4; no. 3; p. 031027
Main Authors:	Goldman, N., Dalibard, J.
Format:	Journal Article
Language:	English
Published:	College Park American Physical Society 18-08-2014
Subjects:	Banded structure Cold spinning Configurations Couplings Deformation effects Electromagnetic fields Energy bands Formalism Magnetism Physics Quantum theory Robustness (mathematics) Spin-orbit interactions System effectiveness Topology
Online Access:	Get full text
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Summary:	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.
ISSN:	2160-3308 2160-3308
DOI:	10.1103/PhysRevX.4.031027