Quantum tunneling on graphs

Abstract

We explore the tunneling behavior of a quantum particle on a finite graph, in the presence of an asymptotically large potential. Surprisingly the behavior is governed by the local symmetry of the graph around the wells.

18 pages

Cited by in corpus (4)

• Spectral Analysis of Discrete Metastable Diffusions
• Topologically induced spectral behavior: the example of quantum graphs
• The geometric realization of regular path complexes via (co-)homology
• Perfect quantum state transfer in weighted paths with potentials (loops) using orthogonal polynomials