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        Wigner flow reveals topological order in quantum phase space dynamics

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        Author
        Steuernagel, Ole
        Kakofengitis, Dimitris
        Ritter, Georg
        Attention
        2299/11286
        Abstract
        The behaviour of classical mechanical systems is characterised by their phase portraits, the collections of their trajectories. Heisenberg's uncertainty principle precludes the existence of sharply defned trajectories, which is why traditionally only the time evolution of wave functions is studied in quantum dynamics. These studies are quite insensitive to the underlying structure of quantum phase space dynamics. We identify the flow that is the quantum analog of classical particle flow along phase portrait lines. It reveals hidden features of quantum dynamics and extra complexity. Being constrained by conserved flow winding numbers, it also introduces topological order into quantum dynamics.
        Publication date
        2013-01
        Published in
        Physical Review Letters
        Published version
        https://doi.org/10.1103/PhysRevLett.110.030401
        Other links
        http://hdl.handle.net/2299/11286
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