Geometry of chiral temporal structures II: The formalism

• URL: http://arxiv.org/abs/2505.22744v1
• Date: Wed, 28 May 2025 18:04:14 GMT
• Title: Geometry of chiral temporal structures II: The formalism
• Abstract summary: We develop a mathematical formalism underlying the emergence of enantio-sensitive molecular orientation due to photoionization or photoexitation of chiral molecules.<n>We consider geometric quantities such as the Berry connection and Berry curvature in light-driven chiral electronic states in the space of complex light polarization vectors.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: We develop a mathematical formalism underlying the emergence of enantio-sensitive molecular orientation due to photoionization or photoexitation of chiral molecules. We consider geometric quantities such as the Berry connection and Berry curvature in light-driven chiral electronic states in the space of complex light polarization vectors. The parametric dependence of the light-driven electronic wavefunction on such vectors emerges due to various possible mutual orientations between the laser field and a chiral molecule. Using the tools of differential geometry we show how the enantio-sensitive observables emerge from the geometry of the molecular response in such spaces.

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