What's the recoil energy in optical lattice?

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Discussion Overview

The discussion revolves around the concept of recoil energy in the context of optical lattices, focusing on its definition, calculation, and implications for atoms or ions trapped in such lattices. Participants explore the relationship between recoil energy and photon emission, including relevant equations and variables.

Discussion Character

  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • Some participants define recoil energy as p²/2m, where p is the momentum of a lattice photon and m is the mass of the atom or ion.
  • Another participant elaborates on the recoil energy formula, providing a detailed breakdown of variables such as mass (M), recoil velocity (v), momentum (p), energy of emitted photons (Ep), and the speed of light (c).
  • There is a reiteration of the recoil energy concept, emphasizing that it represents the kinetic energy an atom or ion would have after emitting a photon if it were initially at rest.

Areas of Agreement / Disagreement

Participants generally agree on the definition and formula for recoil energy, but there are variations in the presentation of the equations and the variables involved. No significant disagreements are noted, but the discussion remains focused on clarifying the concept rather than reaching a consensus on a singular approach.

Contextual Notes

Some equations presented may depend on specific assumptions about the system, such as the conditions under which the recoil energy is calculated. The discussion does not resolve potential ambiguities in the definitions of variables or the applicability of the formulas in different contexts.

Jason Wang
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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)=([tex]\hbar[/tex]k)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)=([tex]\hbar[/tex]k)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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