What's the recoil energy in optical lattice?

In summary: This energy is calculated using the mass and momentum of the emitter, as well as the energy of the emitted photon and the speed of light. In summary, the recoil energy is the kinetic energy an atom or ion would have after emitting a photon, calculated using the mass and momentum of the emitter, as well as the energy of the photon and the speed of light in vacuum.
  • #1
Jason Wang
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Will anyone give me an explanation helping me understanding it?
 
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  • #2
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.
 
  • #3
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.
 
  • #4
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
 
  • #5
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
 

FAQ: What's the recoil energy in optical lattice?

What is an optical lattice?

An optical lattice is a periodic potential formed by the interference of multiple laser beams. It is used in experiments to trap and manipulate atoms or molecules.

How does an optical lattice affect recoil energy?

The intensity and frequency of the laser beams used to create an optical lattice determine the spacing and depth of the potential wells, which in turn affects the recoil energy of atoms or molecules trapped in the lattice.

What factors contribute to the recoil energy in an optical lattice?

The main factors that contribute to recoil energy in an optical lattice are the mass of the trapped particles, the intensity and frequency of the laser beams, and the lattice spacing and depth.

How is recoil energy measured in an optical lattice?

Recoil energy in an optical lattice can be measured using techniques such as time-of-flight measurements, where the trapped particles are released from the lattice and their motion is analyzed, or through spectroscopy methods that measure the energy levels of the trapped particles.

What are the applications of studying recoil energy in optical lattices?

Studying recoil energy in optical lattices can provide insights into the dynamics and interactions of particles in a periodic potential, and also has applications in the fields of quantum simulation, precision measurement, and quantum information processing.

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