Detecting momentum weak value: Shack-Hartmann versus a weak measurement wavefront sensor.

Area of Science:

• Optics and Photonics
• Quantum Metrology
• Quantum Physics

Background:

• Wavefront sensing is crucial for measuring the phase of optical fields.
• Quantum weak measurement is a technique for extracting information with minimal disturbance.
• Shack-Hartmann wavefront sensors are widely used in optical metrology.

Purpose of the Study:

• To demonstrate that Shack-Hartmann wavefront sensors can detect transverse momentum weak values.
• To extend the input states of Shack-Hartmann sensors to partially coherent states.
• To compare the performance of Shack-Hartmann sensors with weak measurement wavefront sensors.

Main Methods:

• Utilizing a Shack-Hartmann wavefront sensor.
• Implementing quantum weak measurement principles.
• Testing with partially coherent states.
• Comparative analysis with a dedicated weak measurement wavefront sensor.

Main Results:

• The Shack-Hartmann wavefront sensor was shown to detect the weak value of transverse momentum.
• The sensor's performance was evaluated with partially coherent input states.
• A comparison revealed the weak measurement wavefront sensor offers higher spatial resolution but a smaller dynamic range.

Conclusions:

• Shack-Hartmann wavefront sensors can perform quantum weak measurements of transverse momentum.
• This integration broadens the applicability of wavefront sensing in quantum physics and metrology.
• The study highlights potential for novel applications in quantum information and sensing.