Geometrically robust linear optics from non-Abelian geometric phases
نویسندگان
چکیده
We construct a unified operator framework for quantum holonomies generated from bosonic systems. For system whose Hamiltonian is bilinear in the creation and annihilation operators, we find holonomy group determined only by set of selected orthonormal modes obeying stronger version adiabatic theorem. This photon-number independent description offers deeper insight as well computational advantage when compared to standard formalism on geometric phases. In particular, strong analogy between linear optical networks can be drawn. relation provides an explicit recipe how any computation made geometrically robust terms or nonadiabatic
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ژورنال
عنوان ژورنال: Physical review research
سال: 2022
ISSN: ['2643-1564']
DOI: https://doi.org/10.1103/physrevresearch.4.023086