Fourier transform limited photons?

In summary, when photons are said to be Fourier transform limited, it means that their time-bandwidth ratio is equal to 1, resulting in indistinguishable single photons. This concept is used in quantum optics experiments, such as those involving quantum dots. It is also used in spectroscopy and other fields. A good reference for understanding the physical and mathematical aspects of FT limited photons is the paper by Antoncini. Although transform limited photons have a broad spectrum, the coherence loss is minimal and stimulated emission is still involved. This means that the impact of the pulse is not significantly affected.
  • #1
Baggio
211
1
Hi,

What is meant when they say photons are Fourier transform limited?


Thanks
 
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  • #2
references and quotations needed
 
  • #3
Ok sorry about that!

I'm basically just doing some quantum optics experiments for example this paper by Charles Santori:

http://www.nature.com/nature/journal/v419/n6907/abs/nature01086.html

(see attachment as well)

Which refers to photons emitted from a quantum dot. It is said that when there is no pure dephasing that the ratio of 2*(decay time)/(coherence time) = 1 and this means the photons are time-bandwidth or Fourier Transform limited. And apparently this means that your single photons are indistinguishable. After spending hours on google it seams that Transform limited photons are used in spectroscopy in other fields as well..

I just want to know physically and mathematically what a FT limited photon is.

It is also mentioned here

http://en.wikipedia.org/wiki/Ultrashort_pulse
 

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  • #5
Thanks looks promising!
 
  • #6
Hmm something still confuses me. It says there that transforrm limited photons have a broad spectrum. But if the spectrum is broad how is the light from the laser coherent? Wouldn't that mean that the laser emits at a broad range of wavelengths?
 
  • #7
The light loses coherence indeed, but how much ?
The loss is minimal for a transform limited, I guess.
And still stimulated emission is involved.
And if coherence is reduced, your gain the impact of the pulse ...
 

1. What is a Fourier transform limited (FTL) photon?

A FTL photon is a type of light that has a spectral bandwidth that is as narrow as possible, meaning it has a well-defined frequency or wavelength. This is achieved by minimizing the amount of time or space that the photon occupies, resulting in a short and well-defined pulse of light.

2. How is the spectral bandwidth of a photon related to its duration or spatial extent?

The spectral bandwidth of a photon is inversely proportional to its duration or spatial extent. This means that the narrower the spectral bandwidth, the shorter the duration or smaller the spatial extent of the photon.

3. What are the applications of Fourier transform limited photons?

FTL photons have numerous applications in various fields, including spectroscopy, optical communications, and laser technology. They are also used in medical imaging and microscopy, as well as in quantum information processing.

4. How are Fourier transform limited photons generated?

FTL photons can be generated using techniques such as mode-locked lasers, which produce pulses of light with very short durations and narrow spectral bandwidths. They can also be generated through nonlinear processes such as four-wave mixing or parametric amplification.

5. What are the challenges in producing and utilizing Fourier transform limited photons?

The main challenge in producing and utilizing FTL photons is achieving a high degree of control and precision in the generation process. This requires advanced technologies and techniques, as well as a thorough understanding of the underlying physics. Additionally, FTL photons are highly sensitive to external factors such as temperature and vibrations, making their manipulation and detection challenging.

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