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Quantum self-trapping on a star graph
1Institut UTINAM, Université de Franche-Comté, CNRS UMR 6213, 25030 Besançon Cedex, France.
Physical Review. E
|May 20, 2022
Summary
Quantum self-trapping of two excitons in a nonlinear star graph is enhanced by increasing nonlinearity. This phenomenon arises from network architecture and exciton interactions, though complete localization is not achieved.
Area of Science:
- Quantum physics
- Condensed matter theory
- Many-body systems
Background:
- The Bose-Hubbard model describes interacting bosons on a lattice.
- Understanding exciton dynamics is crucial for quantum information and materials science.
- Quantum graphs offer a platform to study complex quantum phenomena.
Purpose of the Study:
- To investigate two-exciton dynamics in a nonlinear quantum star graph.
- To analyze the occurrence and characteristics of quantum self-trapping.
- To explore the influence of network architecture and nonlinearity on exciton localization.
Main Methods:
- Application of the attractive Bose-Hubbard model.
- Analysis of two-exciton dynamics initiated at the core of the star graph.
- Examination of exciton eigenstates and their localization properties.
Main Results:
- A real quantum self-trapping phenomenon is observed.
- Self-trapping is favored by the interplay between the star graph's architecture and nonlinearity.
- The degree of self-localization intensifies with increasing nonlinearity.
- Complete localization of exciton density is not achieved, even at strong nonlinearity.
Conclusions:
- The nonlinear quantum star graph exhibits robust self-trapping behavior for two excitons.
- Exciton-exciton interactions and network topology significantly influence localization.
- The study provides insights into controlling quantum dynamics in complex network structures.
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