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A Is the vacuum a thermal state?

  1. Apr 22, 2016 #1


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    Please look at the wikipedia article about thermal coherent states.
    We can only consider the states centered at the origin (##\alpha## = 0). If i understand what is written the vacuum is a pecular thermal state in the limit of a null temperature. I can understand that no energy can be borrowed from a system at this temperature. But this is because we used the word "temperature". How can we compute the energy that can be borrowed from a thermal coherent state? Is it N k T?
    Last edited: Apr 22, 2016
  2. jcsd
  3. Apr 25, 2016 #2


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    It's NKT/2 when the Hamiltonian is quadratic in canonical coordinates and momenta. For more general Hamiltonians the relation is not so simple.
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