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Exciton physics: basic to advanced
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Module 9
Quantum Chaos in the Intermediate Magnetic Field Regime
1
Exciton Dynamics: Breakdown of Separability in Intermediate Fields
Describe the breakdown of separability in the exciton Hamiltonian for intermediate fields (γ ≈ 1), leading to non-integrable dynamics.
2
Exciton Energy Spectra: Signatures of Quantum Chaos
Analyze level repulsion and the phenomenon of avoided crossings in the exciton energy spectrum as signatures of quantum chaos.
3
Numerical Diagonalization for Exciton Problem in Magnetic Fields
Apply numerical diagonalization to solve the exciton problem in an arbitrary magnetic field strength.
4
Level Spacing Statistics and the Onset of Chaos
Analyze level spacing statistics (e.g., Wigner-Dyson distribution) to quantitatively identify the transition to chaos.
5
Exciton Mixing and Optical Selection Rules
Evaluate the field-induced mixing of ortho- and para-exciton states and the resulting relaxation of optical selection rules.
Previous module
Excitons in a High Magnetic Field
Next module
Excitonic Complexes: Trions and Biexcitons