Bose–Einstein Condensation and Feshbach Resonance in Ultracold Quantum Gases and Mixtures

2013 ◽  
pp. 153-180
Author(s):  
M. Yu Kagan
Keyword(s):  
Feshbach Resonance ◽  
Quantum Gases ◽  
Einstein Condensation ◽  
Bose Einstein Condensation ◽  
Ultracold Quantum Gases ◽  
Bose Einstein

BCS-BEC CROSSOVER IN A SUPERFLUID FERMI GAS

2006 ◽  
Vol 20 (30n31) ◽  
pp. 5204-5213 ◽  
Author(s):  
YOJI OHASHI
Keyword(s):  
Feshbach Resonance ◽  
Weak Coupling ◽  
Threshold Energy ◽  
P Wave ◽  
Einstein Condensation ◽  
Pairing Interaction ◽  
Bose Einstein Condensation ◽  
Superfluid Fermi Gas ◽  
Bose Einstein ◽  
Superfluid Fermi

We discuss the superfluid phase transition in a gas of Fermi atoms with a Feshbach resonance. A tunable pairing interaction associated with the Feshbach resonance is shown to naturally lead to the BCS-BEC crossover, where the character of superfluidity continuously changes from the weak-coupling Bardeen-Cooper-Schrieffer (BCS) type to the Bose-Einstein condensation (BEC) of tightly bound molecules, as one decreases the threshold energy 2ν of the Feshbach resonance. We also discuss effects of a trap, as well as the p-wave BCS-BEC crossover adjusted by a p-wave Feshbach resonance.

THE EFFECTS OF A FINITE NUMBER OF PARTICLES ON TWO TRAPPED QUANTUM GASES

2011 ◽  
Vol 25 (32) ◽  
pp. 4435-4442
Author(s):  
LIWEI CHEN ◽  
GUOZHEN SU ◽  
JINCAN CHEN
Keyword(s):  
Finite Number ◽  
Particle Number ◽  
Bose Gas ◽  
Quantum Gases ◽  
Einstein Condensation ◽  
Thermodynamic Quantities ◽  
Bose Einstein Condensation ◽  
Bose Einstein ◽  
Finite Particle ◽  
Number Of Particles

The effects of a finite number of particles on the thermodynamic properties of ideal Bose and Fermi gases trapped in any-dimensional harmonic potential are investigated. The orders of relative corrections to the thermodynamic quantities due to the finite number of particles are estimated in different situations. The results obtained for the two trapped quantum gases are compared, and consequently, it is shown that the finite-particle-number effects for the condensed Bose gas (a Bose gas with Bose–Einstein Condensation (BEC) occurring in the system) are much more significant than those for the Fermi gas and normal Bose gas (a Bose gas without BEC).

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