Continuous-time quantum walk on an extended star graph: Trapping and superradiance transition

Saad Yalouz, Vincent Pouthier

Research output: Contribution to JournalArticleAcademicpeer-review

Abstract

A tight-binding model is introduced for describing the dynamics of an exciton on an extended star graph whose central node is occupied by a trap. On this graph, the exciton dynamics is governed by two kinds of eigenstates: many eigenstates are associated with degenerate real eigenvalues insensitive to the trap, whereas three decaying eigenstates characterized by complex energies contribute to the trapping process. It is shown that the excitonic population absorbed by the trap depends on the size of the graph, only. By contrast, both the size parameters and the absorption rate control the dynamics of the trapping. When these parameters are judiciously chosen, the efficiency of the transfer is optimized resulting in the minimization of the absorption time. Analysis of the eigenstates reveals that such a feature arises around the superradiance transition. Moreover, depending on the size of the network, two situations are highlighted where the transport efficiency is either superoptimized or suboptimized.

Original languageEnglish
Article number022304
JournalPhysical Review E
Volume97
Issue number2
DOIs
Publication statusPublished - 8 Feb 2018
Externally publishedYes

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