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• W3189665854 abstract "We present generalized adiabatic theorems for closed and open quantum systems that can be applied to slow modulations of rapidly varying fields, such as oscillatory fields that occur in optical experiments and light-induced processes. The generalized adiabatic theorems show that a sufficiently slow modulation conserves the dynamical modes of time-dependent reference Hamiltonians. In the limiting case of modulations of static fields, the standard adiabatic theorems are recovered. Applying these results to periodic fields shows that they remain in Floquet states rather than in energy eigenstates. More generally, these adiabatic theorems can be applied to transformations of arbitrary time-dependent fields, by accounting for the rapidly varying part of the field through the dynamical normal modes, and treating the slow modulation adiabatically. As examples, we apply the generalized theorem to (a) predict the dynamics of a two-level system driven by a frequency-modulated resonant oscillation, a pathological situation beyond the applicability of traditional adiabatic theorems, and (b) to show that open quantum systems driven by slowly turned-on incoherent light, such as biomolecules under natural illumination conditions, can display only coherences that survive in the steady state.Received 9 March 2021Revised 25 May 2021Accepted 4 June 2021DOI:https://doi.org/10.1103/PRXQuantum.2.030302Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.Published by the American Physical SocietyPhysics Subject Headings (PhySH)Research AreasElectronic excitation & ionizationOpen quantum systems & decoherenceOptical pumpingQuantum effects in biological systemsQuantum formalismQuantum foundationsAtomic, Molecular & OpticalBiological PhysicsCondensed Matter, Materials & Applied PhysicsQuantum InformationGeneral Physics" @default.
• W3189665854 created "2021-08-16" @default.
• W3189665854 creator A5061216131 @default.
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• W3189665854 date "2021-07-02" @default.
• W3189665854 modified "2023-10-13" @default.
• W3189665854 title "Generalized Adiabatic Theorems: Quantum Systems Driven by Modulated Time-Varying Fields" @default.
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• W3189665854 doi "https://doi.org/10.1103/prxquantum.2.030302" @default.
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