Consider a cavity with movable end mirror. Cavity field generates radiation pressure on mirror and give rise to coupling of field and mirror. This coupling is linear and can be made quadratic with different approach (membrane in the middle set up approach). Since this is a coupling of cavity modes or photons with phonons (mirror acting as oscillator), therefore:
1. What are the conditions for this coupling to be weak and strong?
2. Can somehow photons be generated via phonons or vice versa in such system?
Thanks
Regards
Anil
Two things can be coupled when one can be effected by the other .In your case the oscillation of the mirror can effect on the cavity resonance freq. hence coupling can be done between the mirror and the cavity field(optical field).coupling is nothing but exchanging energy quanta between the two coupled systems.when the rate of exchange energy quanta exceeds the rate of losing (that is due to coupling with the environment) you have strong coupling and for the reverse case you have weak coupling.
Hello,
I don't know whether you are aware of it, but the ideas you are espousing were discussed (minus the concept of phonons, which had not yet been postulated) in the following 1904 article, which itself was a translation from Russian from an earlier article by W. Michelson (not to be confused with Albert A. Michelson of the Michelson-Morley experiment) in 1902,
Arthur L. Day, C. E. Van Orstrand; The black body and the measurement of extreme temperatures; The Astrophysical Journal; Vol. 19; No. 1; January 1904; pp. 1-40.
I tried to attach this article to this message but in case it did not work, here is the URL: http://articles.adsabs.harvard.edu/cgi-bin/nph-iarticle_query?db_key=AST&bibcode=1904ApJ....19....1D&letter=.&classic=YES&defaultprint=YES&whole_paper=YES&page=1&epage=1&send=Send+PDF&filetype=.pdf
Regards,
Tom Cuff
http://articles.adsabs.harvard.edu/cgi-bin/nph-iarticle_query?db_key=AST&bibcode=1904ApJ....19....1D&letter=.&classic=YES&defaultprint=YES&whole_paper=YES&page=1&epage=1&send=Send+PDF&filetype=.pdf
http://journals.aps.org/rmp/pdf/10.1103/RevModPhys.86.1391
This is a review paper of cavity optomechanics
(which is cavity QED with a moving mirror)
if you model this mirror as a quantum harmonic oscillation
You can see that the motion of the mirror will change the optical modes that can survive in the cavity , therefore causing a coupling between the mirror and light
(somewhere @ p10, H_int is the coupling Hamiltonian)
(ps the vibration of the mirror is actually modeling phonon itself)
q1 mirrors with small mass will cause strong coupling(because cavity length changes easily)
q2 yeah i think it is possible
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