EPLETION DENSITY OF IDEAL GAS BOSE-EINSTEIN CONDENSATE BY TWO PARALLEL PLATES

2020 ◽  
Vol 65 (6) ◽  
pp. 82-89
Author(s):  
Song Pham The ◽  
Theu Luong Thi ◽  
Thu Nguyen Van
Keyword(s):  
Bose Gas ◽  
Ideal Gas ◽  
Einstein Condensate ◽  
Parallel Plates ◽  
Second Quantization ◽  
Condensate Density ◽  
Bose Einstein Condensate ◽  
Quantization Formalism ◽  
Bose Einstein

By means of the second quantization formalism, the condensate density of an infinite Bose gas and finite Bose gas is studied in the broken phase. Our results show that the compactification in one-direction makes the remarkable changes in the condensate density.

scholarly journals PHASE TRANSITIONS IN ULTRA-COLD TWO-DIMENSIONAL BOSE GASES

2006 ◽  
Vol 20 (30n31) ◽  
pp. 5224-5228 ◽  
Author(s):  
D. A. W. HUTCHINSON ◽  
P. B. BLAKIE
Keyword(s):  
Vortex Pair ◽  
Bose Gas ◽  
Einstein Condensate ◽  
Einstein Condensation ◽  
Two Dimensional ◽  
Pair Plasma ◽  
Bose Einstein Condensate ◽  
Condensate Phase ◽  
Increasing Temperature ◽  
Bose Einstein

We briefly review the theory of Bose-Einstein condensation in the two-dimensional trapped Bose gas and, in particular the relationship to the theory of the homogeneous two-dimensional gas and the Berezinskii-Kosterlitz-Thouless phase. We obtain a phase diagram for the trapped two-dimensional gas, finding a critical temperature above which the free energy of a state with a pair of vortices of opposite circulation is lower than that for a vortex-free Bose-Einstein condensed ground state. We identify three distinct phases which are, in order of increasing temperature, a phase coherent Bose-Einstein condensate, a vortex pair plasma with fluctuating condensate phase and a thermal Bose gas. The thermal activation of vortex-antivortex pair formation is confirmed using finite-temperature classical field simulations.

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