247 research outputs found

    Expanding the Range of Hierarchical Equations of Motion by Tensor-Train Implementation

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    Dynamics of radiationless transitions in large molecular systems: a Franck- Condon-based method accounting for displacements and rotations of all normal coordinates

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    Bifurcating standing waves for effective equations in gapped honeycomb structures

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    In this paper we deal with two dimensional cubic Dirac equations appearing as effective model in gapped honeycomb structures. We give a formal derivation starting from cubic Schr\"odinger equations and prove the existence of standing waves bifurcating from one band-edge of the linear spectrum.Comment: Submitted to the proceedings of the conference "Mathematical Challenge of Quantum Transport in Nanosystems. Pierre Duclos Workshop" - Saint Petersburg, September 14-16, 202
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