Transparent Quantum Graphs
arXiv:1812.03736 · doi:10.1016/j.physleta.2019.04.059
Abstract
We consider quantum graphs with transparent branching points. To design such networks, the concept of transparent boundary conditions is applied to the derivation of the vertex boundary conditions for the linear Schrodinger equation on metric graphs. This allows to derive simple constraints, which use equivalent usual Kirchhoff-type boundary conditions at the vertex to the transparent ones. The approach is applied to quantum star and tree graphs. However, extension to more complicated graph topologies is rather straight forward.
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Cited by in corpus (13)
- Standing waves on quantum graphs
- Discrete Schrodinger equation on graphs: An effective model for branched quantum lattice
- Transparent nonlinear networks
- Nonlocal Nonlinear Schrodinger Equation on Metric Graphs
- Dirac Particles in Transparent Quantum Graphs: Tunable transport of relativistic quasiparticles in branched structures
- Exciton dynamics in branched conducting polymers: Quantum graphs based approach
- Reflectionless propagation of Manakov solitons on a line:A model based on the concept of transparent boundary conditions
- Quantum graphs and microwave networks as narrow band filters for quantum and microwave devices
- Fokker-Planck equation on metric graphs
- Discrete Nonlocal Nonlinear Schroedinger equation on Metric Graphs: Dynamics of PT-Symmetric Solitons in Discrete Networks
- Manakov system on metric graphs: Modeling the reflectionless propagation of vector solitons in networks
- Experimental study of the distributions of off-diagonal scattering-matrix elements of quantum graphs with symplectic symmetry
- Dirac particles on periodic quantum graphs