有限温度下的玻色子莫特绝缘体
Boson Mott insulators at finite temperatures
摘要：
我们讨论了在光晶格中存在一个附加的、光滑变化的势时，超冷玻色子的有限温度性质，就像在目前的实验中一样。三个制度出现在相图中：低温莫特制度类似于零温度量子相，中间制度MI功能持续存在，但没有超流性，和热制度的莫特绝缘体状态的功能已经消失。我们得到的热力学函数的莫特相在后者的情况下。结果被用来估计在当前的实验中通过绝热加载实现的温度。指出了俘获势在确定最终温度中的关键作用，并提出了通过绝热减压进一步冷却的方案。
英文摘要：
We discuss the finite temperature properties of ultracold bosons in optical lattices in the presence of an additional, smoothly varying potential, as in current experiments. Three regimes emerge in the phase diagram: a low-temperature Mott regime similar to the zero-temperature quantum phase, an intermediate regime where MI features persist, but where superfluidity is absent, and a thermal regime where features of the Mott insulator state have disappeared. We obtain the thermodynamic functions of the Mott phase in the latter cases. The results are used to estimate the temperatures achieved by adiabatic loading in current experiments. We point out the crucial role of the trapping potential in determining the final temperature, and suggest a scheme for further cooling by adiabatic decompression.
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