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arxiv: 1702.03835 · v1 · pith:62NRF2EBnew · submitted 2017-02-13 · 🧮 math.AP · math-ph· math.MP

The Wigner-Lohe model for quantum synchronization and its emergent dynamics

classification 🧮 math.AP math-phmath.MP
keywords modelsynchronizationquantumwigner-loheasymptoticallycompletederiveddinger-lohe
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We present the Wigner-Lohe model for quantum synchronization which can be derived from the Schr\"{o}dinger-Lohe model using the Wigner formalism. For identical one-body potentials, we provide a priori sufficient framework leading the complete synchronization, in which $L^2$-distances between all wave functions tend to zero asymptotically.

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