What's the recoil energy in optical lattice?

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SUMMARY

The recoil energy in an optical lattice is defined by the formula E = p²/(2m), where p = h/λ represents the momentum of a lattice photon and m is the mass of the atom or ion trapped in the lattice. This energy quantifies the kinetic energy an atom or ion would possess after emitting a photon while initially at rest. Key variables include M (mass of the emitting particle), v (recoil velocity), Ep (energy of the emitted photons), c (speed of light in vacuum), and k (wave vector).

PREREQUISITES
  • Understanding of photon momentum (p = h/λ)
  • Familiarity with kinetic energy equations (E = mv²/2)
  • Knowledge of atomic mass and properties of ions
  • Basic concepts of wave vectors in physics
NEXT STEPS
  • Research the implications of recoil energy in quantum optics
  • Learn about the role of lattice photons in atomic trapping
  • Explore advanced topics in photon emission and absorption
  • Study the effects of recoil in laser cooling techniques
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Physicists, optical lattice researchers, and students studying quantum mechanics or atomic physics will benefit from this discussion.

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Will anyone give me an explanation helping me understanding it?
 
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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.
 
Hi,
Recoil energy E=Mv2/2=p2/(2M)=Ep2/(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.
Ep= Energy of the emitted photons.
c=velocity of light in vacuum.
k=wave vector.
 
Redbelly98 said:
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
 
Rajini said:
Hi,
Recoil energy E=Mv2/2=p2/(2M)=Ep2/(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.
Ep= Energy of the emitted photons.
c=velocity of light in vacuum.
k=wave vector.



It helps
 

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