So this is my last lecture and so to summarize I have already discussed the basic concepts

of the effect of the atomic chemical coupling onto the light. I have described the biodynamic

base and the state measurement measurement, what are the limits induced in this atomic

chemical sensor due to atomic chemical coupling and I also said about the possibility to perform

quantum optics with atomic elements. First I have to come back to the point I gave the

last time because there was two ideas about quantum limits. What I said is that you have

both a phase noise, a shock noise, an ironical like that, which is from our curve, as a component

of the intensity of the light injected in the system, you have a phase noise and a radiation

pressure noise. So this one is proportional to the phase pressure phase of the

human being and this one is proportional to the amplitude phase of the human being. So

when you are dealing with injected

current or state, these two properties are independent so that when you go to the spectrum

you have to see the light coming from the spectrum and the light coming from the spectrum

and the light coming from the spectrum. So you can have a correlation between the amplitude

of the light and the amplitude of the light. So for the last course I am going to the other

side of the mechanical coupling, let's say the effect of the atomic and mechanical coupling

to control and to control the mechanical originator. I think it's something you know very well

but I will give the basic concept from there. One way to do it is to go further in the initial

step. So one simple way to understand the dynamical effects on the resonance of the

neocavity, I still consider the neocavity with the nanorhove which is moving. So just look at the every pitch, which is here, the functional neocavity

If the neocavity is moving like that, you will obtain an intensity modulation of the field

in the neocavity which will be proportional to the slope on the repeat. This dp, what is

the total energy power of that neocavity. So this leads to a radiation pressure force

which will be proportional to the displacement of the neocavity. So we see that you have a

restoring force in a general way which leads to the optical spring effect. It also leads

to the bite of the neocavity I already described. But there is another thing, you can have a delay

on the response of the neocavity. Because neocavity has a given boundary, it is a low-mass filter,

so you may have a delay between the response of the intercalated power to the displacement

of the neocavity and in that case this neocavity because you will have a delayed response and

it will appear something which is a viscous force and meaning that the radiation pressure

will become proportional to the speed of the neocavity. So this mechanism leads to a

delay of the neocavity and then the cooling of heating depending on the slope where you are on the repeat.

So this is a very simple interpretation of optical spring and optical damping.

I think the first demonstration of this type has been done by Vladimir Borisovich.

So he did for the year. For example, Vladimir Borisovich, which is one of the tuning researchers in the domain.

He worked both in Moscow and at the Tech, in particular in Kypto. And then in the 70s, he made an experiment,

he made a theory and then he made an experiment in the micro-electro-main with the touch-node oscillators.

You have here a micro-end resonator, the tube, with a piston here which is used to tune the tube.

You have here a magnetron which can inject power, micro-heat power, inside this resonator.

And at the end, in a vacuum chamber, you have a beam which can move because it's a torsional

and it moves like that at quite low frequencies. And then, so we use also a laser,

but just to measure the rotation of the beam. We have a small mirror here and so we detect the reflections.

And so with this kind of setup, injecting values and the long power here to the resonator, you observe the oscillation of the beam

and you observe that there is both an effect on the stiffness and on the view to the type that you are,

the type of microwave inside the resonator. Another demonstration that we made by Michael Dahl and then there,

I think it is in 1998, so you are really presented with this device.

It's a very huge sapphire bar with high-height cube-backer and a 7.

And in this bar, we have published a copy between the artistic modes, like the 50 kHz and microwaves,

which are in frequency of 10 kHz. And so the setup is here, you inject microwave power inside the resonator

and you observe effects. And this curve shows you the...