Quantum Optics: Squeezed light generation

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SUMMARY

Squeezed light generation is achieved through the process of parametric down conversion (PDC), which is often preceded by second harmonic generation (SHG). SHG is crucial as it produces a beam with double the energy of the pump beam, allowing for effective phase referencing in experiments. The characterization of squeezed states is optimally performed using quantum state tomography via homodyne detection, necessitating a stable phase reference. In degenerate PDC, the signal energy post-conversion matches the initial pump beam energy, enhancing experimental accuracy.

PREREQUISITES
  • Understanding of parametric down conversion (PDC)
  • Knowledge of second harmonic generation (SHG)
  • Familiarity with quantum state tomography
  • Experience with homodyne detection techniques
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  • Research the principles of parametric down conversion (PDC) in detail
  • Explore the applications and techniques of second harmonic generation (SHG)
  • Study quantum state tomography methodologies for characterizing quantum states
  • Investigate homodyne detection methods and their role in quantum optics experiments
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Researchers in quantum optics, experimental physicists, and anyone involved in the generation and characterization of squeezed light states.

Korak Biswas
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Theoretically, squeezed state can be generated using a process called 'parametric down conversion'. I was going through the literature and found that people performed 'second harmonic generation' before doing 'parametric down conversion'. Can anyone tell me why simple harmonic generation is important for the generation of squeezed states?
 
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That is a matter of the experiments you want to perform. The best way to characterize a state is quantum state tomography via homodyne detection. For this kind of experiment you need a phase reference with a stable reference phase to the signal and at the same energy. After SPDC, the energy of the signal is (for degenerate SPDC) half of that of the pump beam. So if you use second harmonic generation first, you get a beam at twice the energy of the pump beam. After SPDC, the signal energy is again equal to that of the initial pump beam and this initial beam can be used as a reference beam.
 
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