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摘要翻译：
四次约束势是在BEC中获得快速旋转旋涡以及在光晶格中观察量子相变的关键因素。我们计算了玻色子在四次约束势下发生法向BEC跃迁的临界温度$T_c$。此外，我们还评估了有限粒子数对$t_c$的影响，发现当粒子数<105$时，$δt_c/t_c$在四次势中大于二次势。有趣的是，如果粒子数是$\gtrsim10^5$，情况就相反了。
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英文标题：
《Critical Temperature for Bose-Einstein condensation in quartic
potentials》
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作者：
S. Gautam and D. Angom
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最新提交年份：
2007
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分类信息：
一级分类：Physics 物理学
二级分类：Atomic Physics 原子物理学
分类描述：Atomic and molecular structure, spectra, collisions, and data. Atoms and molecules in external fields. Molecular dynamics and coherent and optical control. Cold atoms and molecules. Cold collisions. Optical lattices.
原子和分子结构，光谱，碰撞和数据。外场中的原子和分子。分子动力学与相干和光学控制。冷原子和分子。冷碰撞。光学晶格。
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一级分类：Physics 物理学
二级分类：Other Condensed Matter 其他凝聚态物质
分类描述：Work in condensed matter that does not fit into the other cond-mat classifications
在不适合其他cond-mat分类的凝聚态物质中工作
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一级分类：Physics 物理学
二级分类：Statistical Mechanics 统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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英文摘要：
The quartic confining potential has emerged as a key ingredient to obtain fast rotating vortices in BEC as well as observation of quantum phase transitions in optical lattices. We calculate the critical temperature $T_c$ of bosons at which normal to BEC transition occurs for the quartic confining potential. Further more, we evaluate the effect of finite particle number on $T_c$ and find that $\Delta T_c/T_c$ is larger in quartic potential as compared to quadratic potential for number of particles $ < 10^5$. Interestingly, the situation is reversed if the number of particles is $\gtrsim10^5$.
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PDF链接：
https://arxiv.org/pdf/710.4006
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