Optimal Control of Effective Hamiltonians

2014/01/29 by Albert Verdeny, Łukasz Rudnicki, Cord A. Müller +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Lambda #Mathematics #Physics #Quantum #Quantum Information and Cryptography #Quantum mechanics #Raman spectroscopy #Scheme (mathematics) #Spectroscopy and Quantum Chemical Studies #Statistical physics #cond-mat.quant-gas #quant-ph

paper · pdf · doi:10.1103/physrevlett.113.010501

published as Phys. Rev. Lett. 113, 010501 (2014)

arxiv created 2014/01/29 · openalex publication_date 2014/07/02 · arxiv updated 2014/07/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present a systematic scheme for the optimization of quantum simulations. Specifically, we show how polychromatic driving can be used to significantly improve the driving of Raman transitions in the Lambda system, which opens new possibilities for controlled driving-induced effective dynamics.

Citations

• The Magnus expansion and some of its applications
• On the exponential solution of differential equations for a linear operator
• Realization of the Hofstadter Hamiltonian with Ultracold Atoms in Optical Lattices
• Materials Design from Nonequilibrium Steady States: Driven Graphene as a Tunable Semiconductor with Topological Properties
• Sur les équations différentielles linéaires à coefficients périodiques

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