BOSE-EINSTEIN CONDENSATION IN HARMONIC DOUBLE WELLS
BOSE-EINSTEIN CONDENSATION IN HARMONIC DOUBLE WELLS
复制标题
谐波双阱中的玻色-爱因斯坦凝聚
DOI：
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
E. Hernández
中科院分区：
文献类型：
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作者：
P. Capuzzi;E. Hernández
我们讨论谐波陷阱中的玻色-爱因斯坦凝聚，其中限制沿一个方向发生分裂。我们主要考虑由两个沿 z 轴间隔 $2a$ 距离的圆柱形井组成的三维势。对于理想气体，我们研究了受限玻色子的热力学，进行精确的数值求和来描述转变的主要细节，并将结果与半经典态密度近似进行比较。我们发现，对于大颗粒数和增加的井间距，冷凝温度从热力学极限值 ${T}_{c}^{(0)}(N)$ 演变到 ${T}_{c}^{(0)}(N/2)$。利用 Gross-Pitaevskii-Popov 程序检验了在原子之间添加排斥相互作用的影响，并发现根据之间的间距，冷凝温度的变化表现出不同的符号。井。特别是，对于足够大的分裂，该趋势与谐波陷阱的众所周知的结果相反，因为临界温度似乎随着排斥强度的增加而增加。
We discuss Bose-Einstein condensation in harmonic traps where the confinement has undergone a splitting along one direction. We mostly consider three-dimensional potentials consisting of two cylindrical wells separated a distance $2a$ along the z axis. For ideal gases, the thermodynamics of the confined bosons has been investigated, performing exact numerical summations to describe the major details of the transition and comparing the results with the semiclassical density-of-states approximation. We find that for large particle number and increasing well separation, the condensation temperature evolves from the thermodynamic limit value ${T}_{c}^{(0)}(N)$ to ${T}_{c}^{(0)}(N/2).$ The effects of adding a repulsive interaction between atoms has been examined resorting to the Gross-Pitaevskii-Popov procedure, and it is found that the shift of the condensation temperature exhibits different signs according to the separation between wells. In particular, for sufficiently large splitting, the trend opposes the well-known results for harmonic traps, since the critical temperature appears to increase with growing repulsion strength.