Less than one photon, what does it mean?

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Discussion Overview

The discussion revolves around the concept of having "less than one photon," particularly in the context of quantum mechanics and experimental setups. Participants explore the implications of fractional photon counts in various scenarios, including quantum key distribution and theoretical considerations.

Discussion Character

  • Exploratory, Technical explanation, Conceptual clarification, Debate/contested

Main Points Raised

  • Some participants suggest that having less than one photon on average is possible, particularly in quantum key distribution experiments using attenuated lasers, where the photon distribution can be Poissonian.
  • Others argue that the concept of fractional photons can be analogous to averages in other contexts, such as the average number of children in a family, raising questions about the interpretation of such averages.
  • A participant mentions that in certain experimental setups, such as one-atom lasers, the notion of less than one photon may have specific implications.
  • Another point raised is the non-intuitive nature of discussing photon counts, particularly in relation to eigenstates and the electromagnetic field, suggesting that classical limits require states that are not eigenstates of photon number.

Areas of Agreement / Disagreement

Participants express varying interpretations of what "less than one photon" means, with no consensus reached on a definitive explanation. Multiple competing views remain regarding the implications and contexts in which this concept applies.

Contextual Notes

Limitations include the dependence on specific experimental contexts and the ambiguity in interpreting fractional photon counts. The discussion does not resolve the mathematical or conceptual nuances involved.

suma
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Hello,

What does less than one photon mean? 0.5 or 1/2 photon what does it mean?
 
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Nothing without the context - where have you seen this?
 
There is nothing preventing you from having less than one photon on average. This is e.g. always the case for quantum key distribution experiments that use attentuated lasers as sources ; the distibution is Poissionian but by attenuating the source enough you can create a situation where you get pulses with either 0 or 1 photon most of the time (but you will of course also get som pulses with 2, 3,4 photons etc). However, if you do this you will find that each pulse has -on average- less than one photon in it.

It is also true for situation where "number of photons" is a measure of the energy/h*f; I frequently do experiment where we measure devices which have less than one photon in them, and when we plot our data we have <n> on the x-axis.
 
It's like the average family having 2.6 children ... what does 0.6 of a child mean?

... you can also have the situation where someone says "less than one photon is inside the cavity" and then they mean the wavelength of the photon is larger than the length of the cavity.

Then again it could be something else entirely.
i.e. 2.6 kids could mean two moderately fat ones or one obese one.
 
Ironically, the question "n photons, what does it mean?" is just as non-intuitive, because if we have an eigenstate of n, for n large, we get a zero electromagnetic field (in the limit). We can only get the classical limit of nonzero electromagnetic field by having a state that is not an eigenstate of number of photons.
 
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hi,

thanks i understand now
 

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