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Numerical solver for ground state and time evolution of a Gross-Pitaevskii equation on a given graph geometry

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MarcinPlodzien/Gross_Pitaevskii_equation_on_graph

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e5f1904 · Dec 19, 2024

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Gross_Pitaevskii_equation_on_graph

Numerical solver for ground state and time evolution of a Gross-Pitaevskii equation on a given graph geometry, defined via graph G = ( V , E ) , where V is a set of nodes, size | V | = L , and E = ( k , l ) , k V , l V is a set of edges in a graph.

Gross-Pitaevskii equation for a k -th node is: i t ψ k ( t ) = l H k l ψ l ( t ) + g | ψ k ( t ) | 2 ψ k ( t ) , where H k l is adjacency matrix of a graph

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Numerical solver for ground state and time evolution of a Gross-Pitaevskii equation on a given graph geometry

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