Partitioning technique for a discrete quantum system

Details Partitioning technique for a discrete quantum system Partitioning technique for a discrete quantum system

2011-05-31

arxiv.org/abs/1105.6168v1

Phys. Rev. A 83, 062118 (2011)

Physics

Quantum Physics

7 pages, 2 figures

Scientific paper

10.1103/PhysRevA.83.062118

We develop the partitioning technique for quantum discrete systems. The graph consists of several subgraphs: a central graph and several branch graphs, with each branch graph being rooted by an individual node on the central one. We show that the effective Hamiltonian on the central graph can be constructed by adding additional potentials on the branch-root nodes, which generates the same result as does the the original Hamiltonian on the entire graph. Exactly solvable models are presented to demonstrate the main points of this paper.

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