Coherent states, Kähler manifolds, and quantum dynamics

Alexander V. Gorokhov

doi:10.1117/12.2626372

29 April 2022 Coherent states, Kähler manifolds, and quantum dynamics

Alexander V. Gorokhov

Author Affiliations +

Proceedings Volume 12193, Laser Physics, Photonic Technologies, and Molecular Modeling; 121930P (2022) https://doi.org/10.1117/12.2626372
Event: XXV Annual Conference Saratov Fall Meeting 2021; and IX Symposium on Optics and Biophotonics, 2021, Saratov, Russian Federation

Abstract

Applications of Kähler manifolds to the temporal dynamics of multilevel quantum systems in external fields are considered. It is shown by using the representation of coherent states (CS), the temporal evolution of the state vector is reduced to the “classical” dynamics of the complex parameters of the CS taking values in the coset space of the dynamical group of the Hamiltonian.

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Alexander V. Gorokhov "Coherent states, Kähler manifolds, and quantum dynamics", Proc. SPIE 12193, Laser Physics, Photonic Technologies, and Molecular Modeling, 121930P (29 April 2022); https://doi.org/10.1117/12.2626372

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