Energy associated with entangled particles

In summary, the question is whether there is a quantifiable energy associated with the separation distance of entangled particles. The answer is that entangled states have the same energy as non-entangled states, and their energy is not dependent on the distance between components. Any discussion on this matter would be appreciated.
  • #1
MCB
1
0
Assuming two particles are entangled, is there a quantifiable energy associated with separation distance?

Rephrasing the question:
If two entangled particles are distance x1 apart and another pair of identical entangled particles are distance x2 apart, is there a difference in the energy associated with the pairs if distance x1 does not equal distance x2?
x1 ≠ x2 ⇒ Δx​

Another rephrase:
If two entangled particles move away from one another for time t1 and another pair move apart for time t2 and t1 is not the same as t2, what is the difference in energy?
t1 ≠ t2 ⇒ Δt​

Rephrase again:
Is there a measure of energy associated with how long entangled particles have indefinite energy states?

Rephrase:
Valid?
ΔEsep ≠ 0
if cases A or B true:
A: ΔE ∝ Δx
B: ΔE ∝ Δt​

These are all probably distinct but there seems to be a deep question here that I'm having difficulty framing. Any thoughts or discussion on the matter would be greatly appreciated.
-MCB
 
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  • #2
When it comes to energy, entangled states are not different from non-entangled states. If they are eigenstates of a Hamiltonian, then they have a definite energy. Otherwise they're some superposition of energy eigenstates and you can only calculate an expectation value for the energy.
 
  • #3
There is no dependency on distance (between components) for the energy of an entangled system. Spatial extent is not a factor.
 

FAQ: Energy associated with entangled particles

What is entanglement?

Entanglement is a phenomenon in quantum physics where two or more particles become connected in such a way that the state of one particle is dependent on the state of the other, even if they are separated by large distances. This means that measuring one particle will instantly affect the state of the other particle, regardless of the distance between them.

How is energy associated with entangled particles?

Energy is associated with entangled particles because the process of entanglement requires energy to create and maintain the connection between the particles. Additionally, the state of entangled particles is dependent on each other, and this can affect the energy levels of the particles.

Can energy be transferred through entangled particles?

No, energy cannot be transferred through entangled particles. Entanglement does not involve the transfer of physical particles, but rather a correlation between the states of the particles. This means that information can be transmitted through entangled particles, but not energy.

How does entanglement affect energy measurements?

Entanglement can affect energy measurements because the state of one particle is dependent on the state of the other, even if they are separated by large distances. This means that measuring the energy of one particle will instantly affect the energy of the other particle, regardless of the distance between them.

What are the potential applications of entanglement in energy-related fields?

Entanglement has potential applications in energy-related fields, such as quantum computing and communication. It can also be used for secure transmission of information, as any attempt to intercept the information will break the entanglement and be detectable. In the future, entanglement could also potentially be harnessed to create more efficient energy sources.

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