Quantum dynamics in parametrically driven one-dimensional optical lattices / Usman Ali ; Erstgutachter: Prof. Dr. Torsten Meier, Zweitgutachter: Prof. Dr. Martin Holthaus. Paderborn, 2025
Content
- Introduction
- Fundamentals
- Optical Lattices
- Single-Particle Physics
- Bose-Hubbard Model
- Driven Dynamics
- Bloch Oscillations in Parabolic Optical Lattices
- Local Acceleration Theorem
- Dynamical Tunneling atop Bloch Oscillations
- Dynamics in the Presence of Atom-Atom interactions
- Chirped Bloch-Harmonic Transport
- Driven Bloch Dynamics in an Amplitude Modulated Lattice
- Floquet Dynamics of Driven Parabolic Optical Lattices
- Classical Pendulum Dynamics
- Mathieu Approximation and Near-Resonant Floquet States
- Phase Space Quantization
- Visualizing the Floquet States in Real-Space
- Classical Characterization of Floquet States
- Floquet State Occupation Probabilities for Sudden Turn On
- Role of Floquet States and the Poincaré Orbit Topology
- Summary and Outlook
- Bibliography
- Appendix