Can Two Atoms in a Bose-Einstein Condensate Occupy the Same Space?

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Discussion Overview

The discussion revolves around whether two atoms in a Bose-Einstein condensate (BEC) can occupy the same physical space. It explores the implications of wavefunction overlap and the nature of atomic interactions in a BEC.

Discussion Character

  • Exploratory, Debate/contested, Conceptual clarification

Main Points Raised

  • One participant questions the possibility of two atoms in a BEC occupying the same space, prompting a discussion on the nature of atomic behavior in such states.
  • Another participant suggests that as temperature decreases, the wavefunctions of individual atoms expand and overlap, implying that while the wavefunctions may overlap, the atoms themselves do not occupy the same location.
  • A follow-up response seeks clarification on the distinction between wavefunction overlap and the concept of "actually occupying the same place."
  • Another participant reiterates the idea that typically, a hard core repulsion is assumed, indicating that even in a BEC, two atoms cannot be in the same physical location.

Areas of Agreement / Disagreement

Participants express differing views on the interpretation of atomic occupancy in a BEC, with some emphasizing wavefunction overlap while others argue against the possibility of two atoms occupying the same space due to repulsive interactions. The discussion remains unresolved.

Contextual Notes

The discussion touches on assumptions regarding atomic interactions and the nature of wavefunctions, but these aspects are not fully explored or defined, leaving some ambiguity in the arguments presented.

Davephaelon
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Is it possible for two atoms in a Bose-Einstein condensate to literally occupy the same space?
 
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Davephaelon said:
So it looks like the Bosonic atoms (for example Rubidium 87) themselves don't actually occupy the same place, just their wavefunctions overlap.
Where is the difference? What would you consider as "actually occupy the same place"?
 
Davephaelon said:
Is it possible for two atoms in a Bose-Einstein condensate to literally occupy the same space?
Usually, you assume a hard core repulsion, so even in a BEC, there are no two atoms in the same place.
 
Last edited:

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