Bose–Einstein condensation in an external potential at zero temperature: Solitary-wave theory

1999 ◽  
Vol 40 (11) ◽  
pp. 5522-5543 ◽  
Author(s):  
Dionisios Margetis
Keyword(s):  
Solitary Wave ◽  
Wave Theory ◽  
External Potential ◽  
Einstein Condensation ◽  
Zero Temperature ◽  
Bose Einstein Condensation ◽  
Bose Einstein

scholarly journals Phase diffusion of Bose–Einstein condensation close to zero temperature

2002 ◽  
Vol 301 (3-4) ◽  
pp. 203-209 ◽  
Author(s):  
Hongwei Xiong ◽  
Shujuan Liu ◽  
Guoxiang Huang
Keyword(s):  
Einstein Condensation ◽  
Zero Temperature ◽  
Phase Diffusion ◽  
Bose Einstein Condensation ◽  
Bose Einstein

Bose-Einstein condensation in an external potential

1987 ◽  
Vol 35 (10) ◽  
pp. 4354-4358 ◽  
Author(s):  
Vanderlei Bagnato ◽  
David E. Pritchard ◽  
Daniel Kleppner
Keyword(s):  
External Potential ◽  
Einstein Condensation ◽  
Bose Einstein Condensation ◽  
Bose Einstein

Systems with Condensates and Pairing

2018 ◽  
Author(s):  
Klaus Morawetz
Keyword(s):  
Critical Parameters ◽  
Einstein Condensation ◽  
Cooper Pairs ◽  
Pair Breaking ◽  
Systematic Theory ◽  
Bose Einstein Condensation ◽  
T Matrix ◽  
The Stability ◽  
Bose Einstein

The Bose–Einstein condensation and appearance of superfluidity and superconductivity are introduced from basic phenomena. A systematic theory based on the asymmetric expansion of chapter 11 is shown to correct the T-matrix from unphysical multiple-scattering events. The resulting generalised Soven scheme provides the Beliaev equations for Boson’s and the Nambu–Gorkov equations for fermions without the usage of anomalous and non-conserving propagators. This systematic theory allows calculating the fluctuations above and below the critical parameters. Gap equations and Bogoliubov–DeGennes equations are derived from this theory. Interacting Bose systems with finite temperatures are discussed with successively better approximations ranging from Bogoliubov and Popov up to corrected T-matrices. For superconductivity, the asymmetric theory leading to the corrected T-matrix allows for establishing the stability of the condensate and decides correctly about the pair-breaking mechanisms in contrast to conventional approaches. The relation between the correlated density from nonlocal kinetic theory and the density of Cooper pairs is shown.

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