Bose Einstein condensation in 2D finite space

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SUMMARY

Bose-Einstein condensation (BEC) cannot occur in infinite two-dimensional (2D) systems. However, in finite 2D systems with a sufficiently large volume (L^2), effective condensation can be achieved due to a coherence length that exceeds the system size. Additionally, a three-dimensional (3D) condensate can be constrained in one direction to mimic the behavior of an effective 2D condensate. This discussion clarifies the conditions under which BEC can manifest in finite 2D spaces.

PREREQUISITES
  • Understanding of Bose-Einstein condensation principles
  • Familiarity with two-dimensional quantum systems
  • Knowledge of coherence length in quantum mechanics
  • Basic concepts of three-dimensional condensates
NEXT STEPS
  • Research the mathematical proofs of Bose-Einstein condensation in finite systems
  • Explore the implications of coherence length in quantum physics
  • Study the behavior of constrained 3D condensates and their effective 2D properties
  • Investigate experimental setups for observing BEC in finite dimensions
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Physicists, quantum mechanics researchers, and students studying condensed matter physics will benefit from this discussion on Bose-Einstein condensation in finite two-dimensional systems.

HZhang
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It can be easily proved that Bose Einstein condensation can be got in infinite 2D. But what about finite 2D with extreme large "Volume" L^2 ?
 
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HZhang said:
It can be easily proved that Bose Einstein condensation can be got in infinite 2D. But what about finite 2D with extreme large "Volume" L^2 ?
Actually, you can't get BEC in an infinite 2D system. If the volume is finite, then you can get a coherence length greater than the size of the system, and have effective condensation. You can also constrain a 3D condensate so much along one direction that it behaves as an effective 2D condensate.
 
DrClaude said:
Actually, you can't get BEC in an infinite 2D system. If the volume is finite, then you can get a coherence length greater than the size of the system, and have effective condensation. You can also constrain a 3D condensate so much along one direction that it behaves as an effective 2D condensate.
Thank you very much. I should have typed cannot but somehow made a mistake.
 

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