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Nonlinear dynamics of exciton-polariton condensates / Xuekai Ma ; [Erstgutachter: Prof. Dr. Stefan Schumacher, Zweitgutachter: Prof. Dr. Torsten Meier]. Paderborn, 2017
Content
Table of contents
1 Introduction
1.1 Aim and structure of this theses
2 Theoretical model
2.1 Equations of motion of exciton-polaritons
2.2 The Gross-Pitaevskii equation
2.3 Chapter summary and concluding remarks
3 Phase defects of polariton condensates
3.1 Homogeneous excitation
3.1.1 Homogeneous solutions
3.1.2 Formation of spiraling waves
3.1.3 Collective dynamics of vortices
3.2 Periodic excitation
3.2.1 Dark solitons
3.2.2 Manipulation of vortices
3.3 Chapter summary and concluding remarks
4 Vortices under ring-shaped pumps
4.1 Steady-state solutions
4.2 Vortex control by elliptical pumps
4.3 Vortex-vortex control
4.4 Chapter summary and concluding remarks
5 Dynamics of condensates in periodic potentials
5.1 Dynamics of condensates in weak-contrast lattices
5.1.1 The simplified approach model
5.1.2 Dynamics of condensates within the full GP model
5.2 Dynamics of condensates in tight-trapping lattices
5.2.1 State transitions of condensates in 1D arrays
5.2.2 Talbot effect
5.3 Dynamics of polaritons in discrete lattices
5.3.1 Discrete model and uniform solutions
5.3.2 Localized solutions
5.4 Chapter summary and concluding remarks
6 Symbiotic solitons and vortices in binary condensates
6.1 The binary model and variational approximation
6.2 Symbiotic solitons
6.3 Symbiotic vortices
6.4 Hidden-vorticity modes
6.5 Chapter summary and concluding remarks
7 Conclusion and perspective
Acknowledgements
List of Publications
Short Curriculum Vitae
Declaration
Bibliography
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