三维光晶格中冷玻色子的绝热加载和超流-正常相变
Adiabatic Loading of Cold Bosons in Three-Dimensional Optical Lattices and Superfluid-Normal Phase Transition
摘要：
通过对有限温度下的三维玻色-哈伯德模型应用平均场近似，研究了光晶格的绝热负载对温度的影响.我们计算了均匀系统中给定初始温度的等熵曲线的晶格高度依赖性，即，忽略了捕获电势。以温度单位作为反冲能，通过超流（SF）-正常（N）相变的绝热冷却/加热被清楚地理解。结果表明，在高温下，合金的冷却发生在SF相中，而加热发生在N相中，且绝热冷却/加热效率随温度的升高而提高。我们还解释了如何从各相色散关系的晶格高度依赖性来理解它的行为。此外，绝热加热/冷却之间的情况下，有/无捕获势的联系进行了讨论。
英文摘要：
We investigate the effects of the adiabatic loading of optical lattices to the temperature by applying the mean-field approximation to the three-dimensional Bose-Hubbard model at finite temperatures. We compute the lattice-height dependence of the isentropic curves for the given initial temperatures in case of the homogeneous system i.e., neglecting the trapping potential. Taking the unit of temperatures as the recoil energy, the adiabatic cooling/heating through superfluid (SF) - normal (N) phase transition is clearly understood. It is found that the cooling occurs in SF phase while the heating occurs in N phase and the efficiency of adibatic cooling/heating is higher at higher temperatures. We also explain how its behavior can be understood from the lattice-hight dependence of dispersion relation in each phase. Furthermore, the connection of the adiabatic heating/cooling between the cases with/without the trapping potential is discussed.
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