Bose-Einstein Condensation with Attractive Interaction Fate of a False Vacuum

2001 ◽  
pp. 35-40
Author(s):  
Masahito Ueda ◽  
Hiroki Saito
Keyword(s):  
Attractive Interaction ◽  
Einstein Condensation ◽  
False Vacuum ◽  
Bose Einstein Condensation ◽  
Bose Einstein

scholarly journals Bose - Einstein Condensation of Atoms with Attractive Interaction in a Harmonic Trap

2000 ◽  
Vol 53 (1) ◽  
pp. 157 ◽  
Author(s):  
N. Akhmediev ◽  
M. P. Das ◽  
A. V. Vagov
Keyword(s):  
Bose Gas ◽  
Stationary Solutions ◽  
Higher Order ◽  
Attractive Interaction ◽  
Einstein Condensation ◽  
Pitaevskii Equation ◽  
Bose Einstein Condensation ◽  
Confining Potential ◽  
Dilute Bose Gas ◽  
Bose Einstein

It is well known that bosonic particles with attractive interaction in a uniform gas do not form a condensate. Here we investigate a dilute Bose gas and study stationary solutions of the Gross–Pitaevskii equation with attractive interaction. We have also used a higher order stabilising term in the presence of a harmonic confining potential. We show that there are three possible types of stationary solutions corresponding to stable, metastable and unstable phases. These results are discussed in relation to a 7Li condensate.

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.

scholarly journals Bose Einstein condensation in a magnetic double-well potential

2003 ◽  
Vol 5 (2) ◽  
pp. S119-S123 ◽  
Author(s):  
T G Tiecke ◽  
M Kemmann ◽  
Ch Buggle ◽  
I Shvarchuck ◽  
W von Klitzing ◽  
...  
Keyword(s):  
Einstein Condensation ◽  
Bose Einstein Condensation ◽  
Bose Einstein ◽  
Double Well Potential

scholarly journals Theory of the charged Bose gas: Bose-Einstein condensation in an ultrahigh magnetic field

1996 ◽  
Vol 54 (21) ◽  
pp. 15363-15371 ◽  
Author(s):  
A. S. Alexandrov ◽  
W. H. Beere ◽  
V. V. Kabanov
Keyword(s):  
Magnetic Field ◽  
Bose Gas ◽  
Einstein Condensation ◽  
Bose Einstein Condensation ◽  
Bose Einstein ◽  
Ultrahigh Magnetic Field

Bose-Einstein condensation of large numbers of atoms in a magnetic time-averaged orbiting potential trap

1998 ◽  
Vol 57 (6) ◽  
pp. R4114-R4117 ◽  
Author(s):  
D. J. Han ◽  
R. H. Wynar ◽  
Ph. Courteille ◽  
D. J. Heinzen
Keyword(s):  
Einstein Condensation ◽  
Bose Einstein Condensation ◽  
Large Numbers ◽  
Potential Trap ◽  
Bose Einstein
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