Coherent Exciton Dynamics and Trapping in Topologically Disordered Systems

Muelken, Oliver; Blumen, A.

doi:10.48550/arxiv.0810.4052

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2009

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“….. Recent studies applied this problem to quantum networks for phenomena where coherent dynamical processes are involved such as ultracold Rydberg gases [1,2] as well as photosynthetic processes [3][4][5]. The coherent exciton transfer is well described by the quantum-mechanical version of random walks, the so-called quantum walks [6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Quantum walks and trapping on regular hyperbranched fractals

Volta¹

2009

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

The present work studies the behaviour of continuous time quantum walks on regular hyperbranched fractals, whose centre is a trap. We focus on the variations of the eigenvalue spectrum of the transfer operator by tuning the trap strength from zero to infinity. We show that the degenerate eigenvalues are independent from the trap strength and can be obtained analytically. Due to this the mean survival probability is just in the intermediate range affected by the trap strength; moreover, because of the presence of real eigenvalues, the asymptotical probability of being outside the trap is not zero.

show abstract

Section: Introductionmentioning

confidence: 99%

Quantum walks and trapping on regular hyperbranched fractals

Volta¹

2009

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

show abstract

Coherent Exciton Dynamics and Trapping in Topologically Disordered Systems

Cited by 1 publication

References 0 publications

Quantum walks and trapping on regular hyperbranched fractals

Quantum walks and trapping on regular hyperbranched fractals

Contact Info

Product

Resources

About