scholarly journals Fluctuations and temperature effects in bose-einstein condensation

2018 ◽  
Vol 61 ◽  
pp. 55-67
Author(s):  
Anne de Bouard ◽  
Arnaud Debussche ◽  
Reika Fukuizumi ◽  
Romain Poncet
Keyword(s):  
Temperature Effects ◽  
Cold Atoms ◽  
Numerical Results ◽  
Theoretical Physics ◽  
Einstein Condensation ◽  
Bose Einstein Condensation ◽  
Physics Community ◽  
Bose Einstein

The modeling of cold atoms systems has known an increasing interest in the theoretical physics community, after the first experimental realizations of Bose Einstein condensates, some twenty years ago. We here review some analytical and numerical results concerning the influence of fluctua-tions, either arising from fluctuations of the confining parameters, or due to temperature effects, in the models describing the dynamics of such condensates.

CRITICAL PROPERTIES AND DISTRIBUTIONS OF TWO-DIMENSIONAL BOSE–EINSTEIN CONDENSATION

2004 ◽  
Vol 18 (01) ◽  
pp. 103-114 ◽  
Author(s):  
GUANG-XI HU ◽  
JI-PING YE ◽  
JI-XIN DAI ◽  
W. E. EVENSON ◽  
XIAN-XI DAI
Keyword(s):  
Transition Temperature ◽  
Specific Heat ◽  
Numerical Results ◽  
Einstein Condensation ◽  
Two Dimensional ◽  
Critical Properties ◽  
Bose Einstein Condensation ◽  
Analytic Expressions ◽  
Bose Einstein

By studying the critical properties of a 2D Bose–Einstein condensation (BEC) in traps, we obtain the accurate analytic expressions of transition temperature, condensed fraction, and specific heat. The analytic results fit in fairly well with numerical results. We find that an isotropical potential favors most for condensation to occur. With the aid of Bloch summation, we study the distributions of coordinates and momenta of the system. Some clear physical pictures are presented.

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

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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