Bosons at very high temperature

AI Thread Summary
In a Bose-Einstein condensate (BEC), particles exist in a coherent ground state at very low temperatures. As the temperature increases, the number of particles in the BEC decreases, and at sufficiently high temperatures, no particles remain in the condensate state. The discussion raises the question of whether all particles would transition to excited states as temperature approaches infinity, suggesting that a phase transition would require this. However, the concept of "higher energy states" within a BEC is misunderstood, as there are no such states in the condensate itself. Ultimately, increasing temperature leads to a complete loss of the BEC state.
Magnetic Boy
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Will all particles be in excited state in boson condensate if temperature approach infinity?
 
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I believe you only have a bose-einstein condensate at very, very low temperatures. Beyond this the particles transition to another state.
 
Drakkith said:
I believe you only have a bose-einstein condensate at very, very low temperatures. Beyond this the particles transition to another state.
Ok thanks. But what if temperature is below critical temperatute?? Will all particles will come to ground state?? I mean all particles!
 
Drakkith said:
I believe you only have a bose-einstein condensate at very, very low temperatures. Beyond this the particles transition to another state.
Suppose we have created bose einstein condensate. Now we increase the temperature approaching infinity. Will all particle reside in excited state?
 
I really can't say. I would expect so, as it would seem to be a requirement that in order for the condensate to undergo a phase transition all the particles would need to be excited to other states. But I know very little about the details of bose-einstein condensates.
 
Magnetic Boy said:
Suppose we have created bose einstein condensate. Now we increase the temperature approaching infinity. Will all particle reside in excited state?

Your series of question is rather puzzling.

You seem to think that there is this various levels of energy within the BE condensate, very much like the energy levels in an atom. Can you tell me where you got such information from?

As the temperature of the condensate gets higher, there will be less number of particles that are in the BE state. At some point, if the temperature is high enough, there will be none. There are no "higher energy state" within the BE condensate.

Zz.
 

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