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Complete Controllability Despite Degeneracy: Quantum Control of Enantiomer-Specific State Transfer in Chiral Molecules

Abstract : We prove complete controllability for rotational states of an asymmetric top molecule belonging to degenerate values of the orientational quantum number M. Based on this insight, we construct a pulse sequence that energetically separates population initially distributed over degenerate M-states, as a precursor for orientational purification. Introducing the concept of enantio-selective controllability, we determine the conditions for complete enantiomer-specific population transfer in chiral molecules and construct pulse sequences realizing this transfer for population initially distributed over degenerate M-states. This degeneracy presently limits enantiomer-selectivity for any initial state except the rotational ground state. Our work thus shows how to overcome an important obstacle towards separating, with electric fields only, left-handed from right-handed molecules in a racemic mixture.
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Preprints, Working Papers, ...
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https://hal.inria.fr/hal-02972059
Contributor : Mario Sigalotti <>
Submitted on : Tuesday, October 20, 2020 - 9:37:07 AM
Last modification on : Friday, October 23, 2020 - 3:08:29 AM

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  • HAL Id : hal-02972059, version 1
  • ARXIV : 2010.09296

Citation

Monika Leibscher, Eugenio Pozzoli, Cristobal Pérez, Melanie Schnell, Mario Sigalotti, et al.. Complete Controllability Despite Degeneracy: Quantum Control of Enantiomer-Specific State Transfer in Chiral Molecules. 2020. ⟨hal-02972059⟩

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