statistics and superposition

[Su-Yong Lee]

I wonder whether quantum statistics has a relationship with superposition principle.
Bese-Einstein statistics is quantum mechanical such that it should have something on superposition?

[Jiyong Park]

Bose-Einstein statistics가 quantum mechanical하다는 것은 quantized energy state를 다루기 때문이지 않나요? superposition principle을 요구하는 것 같지는 않는데요.

[Su-Yong Lee]

Yes, it does not require superposition. Let us move to the point : Can we get superposition from statistics?

[Jiyong Park]

As you know, a light field state with sub-Poissonian statistics is nonclassical, and a typical example is a Fock state which has no quantum superposition in the photon number basis. Therefore, I think that it would be hard to extract the quantum superposition principle from the particle number statistics "solely".

2012년 8월 6일 월요일 오후 8시 58분 31초 UTC+9, Su-Yong Lee 님의 말:

[Su-Yong Lee]

What if we use the coherent state basis to describe a Fock state?

[Jiyong Park]

Employing the coherent state basis may require a phase-space approach, e.g., Glauber-P distribution.

2012년 8월 7일 화요일 오후 9시 2분 59초 UTC+9, Su-Yong Lee 님의 말:

[Su-Yong Lee]

From the statistics, we can guess what kind of state it was. Given some partial information, we can know that there is an interference effect which came from superposition.

2012년 8월 8일 수요일 오후 8시 52분 39초 UTC+8, Jiyong Park 님의 말:

Employing the coherent state basis may require a phase-space approach, e.g., Glauber-P distribution.pppp