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I Energy associated with entangled particles

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  1. Dec 21, 2016 #1

    MCB

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    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
     
  2. jcsd
  3. Dec 21, 2016 #2

    ShayanJ

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    Gold Member

    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.
     
  4. Dec 21, 2016 #3

    DrChinese

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    Science Advisor
    Gold Member

    There is no dependency on distance (between components) for the energy of an entangled system. Spatial extent is not a factor.
     
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