How Are Dressed States Related to AC-Stark Splitting?

[Carnot]

Hi
I have currently read about dressed states, but I don't get what it is.
Does it have something to do with AC-Stark splitting?

Hope someone can give me a nice explanation :-)

Thanks

 

[ZapperZ]

Hi
I have currently read about dressed states, but I don't get what it is.
Does it have something to do with AC-Stark splitting?

Hope someone can give me a nice explanation :-)

Thanks

It would have been useful if you made an exact citation of what you are reading (which is something we are trying to instill here in this forum).

A "dressed" state is typically a particle that is surrounded by many-body interaction. In Landau's Fermi Liquid theory, this results in a "quasiparticle", with, say, its mass being renormalized.

Example of dressed quasiparticles can be found in high-Tc superconductors

http://arxiv.org/PS_cache/cond-mat/pdf/0504/0504013v1.pdf

So notice that, without giving an exact source, I have no idea what you are referring to and have to resort to what *I* have at hand.

Zz.

 

[Carnot]

Thank you for answering, I thought dressed states might be a specific term but from your reply, it seems to be more of a general term. I'm reading some unpublished lecture notes on quantum optics and my current issue is in regard to a lambda system (see attachment).

I'm not sure what is ment by a dressed state in regard to this lambda system (or lambda systems in general) and what would the dressed state picture of the lambda system look like?

 

[M@2]

Hi
I have currently read about dressed states, but I don't get what it is.
Does it have something to do with AC-Stark splitting?

Hope someone can give me a nice explanation :-)

Thanks

Of course it has something to do with AC-Stark splitting.
I advice you consider "dressed states" as jargon , denoting nothing more than some quantum system with some quantum states interacting with other quantum systems.

Due to interaction initial quantum system becomes the system with altered quantum states.

Many physicists like to use "quasiparticle" language (they use orthogonal basis of wave functions of some origin, Bloch, Wannier, Legandre,...). They imagine the proceseses as virtual or real exchange of quasiparticles (interaction is wrote down as transfer from one quantum basis state to another basis wavefunction with some amplitude of probability).
This "exchange" they frequently name as "dressing" with quasiparticles. In your case three level system is dressed with laser fields of photons.

For multiphoton optics i can recommend a book:
Theory of Multiphoton Processes, Farhad H.M. Faisal
http://proxy.bookfi.org/genesis/320000/f2dca95c1dfa35946a94861dff3a1e85/_as/[Farhad_H.M._Faisal]_Theory_of_Multiphoton_Process(BookFi.org).djvu
And some links:
http://en.wikipedia.org/wiki/Electromagnetically_induced_transparency
See paragraph "Theory"
http://en.wikipedia.org/wiki/Autler–Townes_effect

INSTITUTE OF PHYSICS PUBLISHING JOURNAL OF OPTICS B: QUANTUM AND SEMICLASSICAL OPTICS
J. Opt. B: Quantum Semiclass. Opt. 6 (2004) 184–187 PII: S1464-4266(04)69078-1
Eigenstates and spectrum for a class of models describing three-mode multiphoton processes
Ying Wu1,2 and Xiao-xue Yang1

Coherent Dynamics of Complex Quantum Systems
With 140 Figures
Professor Vladimir M. Akulin
Laboratoire Aimé Cotton
Bat 505
Campus d’Orsay
91405 Orsay Cedex, France