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

• URL: http://arxiv.org/abs/2010.09296v1
• Date: Mon, 19 Oct 2020 08:17:30 GMT
• Title: Complete Controllability Despite Degeneracy: Quantum Control of Enantiomer-Specific State Transfer in Chiral Molecules
• Authors: Monika Leibscher, Eugenio Pozzoli, Cristobal P\'erez, Melanie Schnell, Mario Sigalotti, Ugo Boscain, Christiane P. Koch
• Abstract summary: We prove complete controllability for rotational states of an asymmetric top molecule belonging to degenerate values of orientational quantum number M. We construct a pulse sequence that energetically separates population initially distributed over degenerate M-states.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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