Einstein Condensation in a Macroscopic Field

1985 ◽  
Vol 40 (12) ◽  
pp. 1189-1198 ◽  
Author(s):  
Rainer Brendle
Keyword(s):  
Spatial Distribution ◽  
Thermodynamic Limit ◽  
External Potential ◽  
Einstein Condensation ◽  
Helium Film ◽  
Qualitative Explanation ◽  
Condensate Density ◽  
Technical Assumption ◽  
Arbitrary Potential

A new kind of thermodynamic limit is given for the model of an ideal Boson gas which scales the supports of the local Weyl operators into infinitesimal regions leaving the external potential fixed. A technical assumption in a paper of Davies on this subject is derived from geometrical arguments. The spatial distribution of the condensate density is calculated for an arbitrary potential being bounded from below. This is used for a simple qualitative explanation of the Helium film effect.

scholarly journals Bose-Einstein Condensation and Supersolids

2021 ◽  
pp. 29-36
Author(s):  
Moorad Alexanian ◽  
Vanik E. Mkrtchian
Keyword(s):  
Wave Function ◽  
Einstein Condensate ◽  
External Potential ◽  
Three Dimensions ◽  
Einstein Condensation ◽  
Correct Trial ◽  
Self Organized ◽  
Bose Einstein Condensate ◽  
Wide Range ◽  
Bose Einstein

We consider interacting Bose particles in an external potential. It is shown that a Bose-Einstein condensate is possible at finite temperatures that describes a super solid in three dimensions (3D) for a wide range of potentials in the absence of an external potential. However, for 2D, a self-organized super solid exists for finite temperatures provided the interaction between bosons is nonlocal and of infinitely long-range. It is interesting that in the absence of the latter type of potential and in the presence of a lattice potential, there is no Bose-Einstein condensate and so in such a case, a 2D super solid is not possible at finite temperatures. We also propose the correct Bloch form of the condensate wave function valid for finite temperatures, which may be used as the correct trial wave function.

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