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Brecht, Benjamin: Engineering ultrafast quantum frequency conversion. 2014
Inhalt
1 Summary
2 Zusammenfassung
3 A brief history of ultrafast quantum optics
1900 – 1950
1950 – 2000
2000 – today
4 Fundamental theory
Waveguides
Waveguide modelling
Spatial mode considerations
Light-matter interaction
Nonlinear polarisation
Three-wave mixing
More on phasematching
Ultrafast pulses
Time-bandwidth product
Chronocyclic Wigner function
Pulse shaping
5 From classical to quantum optics
Speaking quantum
Field quantisation in waveguides
Quantum three-wave mixing
Time-frequency representation
Joint spectral amplitude functions
Schmidt decomposition
Understanding quantum
Parametric down-conversion
Time-frequency correlations
The Schmidt number K
Impact of TF correlations
Frequency conversion
Engineering quantum
Phasematching
Pump
Time-ordering
6 Ultrafast parametric down-conversion
Continuous variable description
Chronocyclic representation of PDC states
On the correlation time of ultrafast biphotons
Theory put to test
7 Quantum pulse gate and quantum pulse shaper
Quantum pulse gate
The QPG unitary operation
Adding an input state
Revealing the QPG TF structure
Optimising the QPG TF modes
Experimental limitations
Quantitative Hamiltonian
Experiment
Pulse shaping with the Dazzler
Overview over the setup
Spatial mode adaption
Mapping of the QPG time-frequency modes
Adapting the QPG TF modes to an unknown input
Performance benchmarks
Next steps: Quantum pulse shaper
8 Conclusion and outlook
Conclusion
Outlook
9 Acknowledgements
A Appendix
Derivation of the vectorial wave equations in waveguides
Calculation of the electric field strength
The dielectric tensor
Kleinman symmetry
Nonlinear tensor and contracted notation
Lithium niobate and potassium titanyl phosphate
Three-wave mixing Hamiltonian
4-f-spectrometer with tilted slit
B References
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