arXiv 1209.03462012-09-03cond-mat.quant-gasquant-ph

自旋-轨道耦合玻色-爱因斯坦凝聚体的热力学

Thermodynamics of spin-orbit-coupled Bose-Einstein condensates

Jinling Lian, Yuanwei Zhang, J. -Q. Liang, Jie Ma, Gang Chen, Suotang Jia

备注：: 8 pages, 6 figures
DOI：: 10.1103/PhysRevA.86.063620

摘要：

在本文中，我们发展了一个量子场的方法来揭示的热力学性质的陷阱BEC具有相等的Rashba和Dresselhaus自旋轨道耦合。在实验上可行的制度，相变从分离相到单一的最小相可以很好地驱动的可调温度。此外，还可以精确地导出与俘获势无关的临界温度。在临界点，比热有一个很大的跳跃，因此可以被视为一个有前途的候选人来检测这种温度驱动的相变。此外，我们还得到了不同相的比热和熵的解析表达式。在单一的最小相位中，比热和熵仅由拉比频率决定。然而，在较低温度的分离相中，我们发现它们只取决于自旋轨道耦合的强度。最后，还讨论了有效原子相互作用的影响。在分离相中，这种有效原子相互作用对临界温度和相应的热力学性质有显著的影响。

英文摘要：

In this paper we develop a quantum field approach to reveal the thermodynamic properties of the trapped BEC with the equal Rashba and Dresselhaus spin-orbit couplings. In the experimentally-feasible regime, the phase transition from the separate phase to the single minimum phase can be well driven by the tunable temperature. Moreover, the critical temperature, which is independent of the trapped potential, can be derived exactly. At the critical point, the specific heat has a large jump and can be thus regarded as a promising candidate to detect this temperature-driven phase transition. In addition, we obtain the analytical expressions for the specific heat and the entropy in the different phases. In the single minimum phase, the specific heat as well as the entropy are governed only by the Rabi frequency. However, in the separate phase with lower temperature, we find that they are determined only by the strength of spin-orbit coupling. Finally, the effect of the effective atom interaction is also addressed. In the separate phase, this effective atom interaction affects dramatically on the critical temperature and the corresponding thermodynamic properties.

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