What's the recoil energy in optical lattice?

[Jason Wang]

Will anyone give me an explanation helping me understanding it?

 

[Redbelly98]

Welcome to Physics Forums.

The recoil energy is p²/2m, where p=h/λ is the momentum of a lattice photon and m is the mass of an atom or ion trapped in the lattice.

The recoil energy is the kinetic energy an atom (or ion) would have after emitting a photon, if initially at rest.

 

[Rajini]

Hi,
Recoil energy E=Mv²/2=p²/(2M)=E_p²/(2Mc²)=(\hbark)²/(2M).
M=mass of something (nucleus, atom, ion, etc), which emits photons.
v=recoil velocity due to emission of photons.
p=momentum.
E_p= Energy of the emitted photons.
c=velocity of light in vacuum.
k=wave vector.

 

[Jason Wang]

Welcome to Physics Forums.

The recoil energy is p²/2m, where p=h/λ is the momentum of a lattice photon and m is the mass of an atom or ion trapped in the lattice.

The recoil energy is the kinetic energy an atom (or ion) would have after emitting a photon, if initially at rest.

I see, Thanks a lot

 

[Jason Wang]

Hi,
Recoil energy E=Mv²/2=p²/(2M)=E_p²/(2Mc²)=(\hbark)²/(2M).
M=mass of something (nucleus, atom, ion, etc), which emits photons.
v=recoil velocity due to emission of photons.
p=momentum.
E_p= Energy of the emitted photons.
c=velocity of light in vacuum.
k=wave vector.

It helps