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首页> 外文期刊>Physica, B. Condensed Matter >Time-dependent linear response of an inhomogeneous Bose superfluid: microscopic theory and connection to current-density functional theory
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Time-dependent linear response of an inhomogeneous Bose superfluid: microscopic theory and connection to current-density functional theory

机译：不均匀玻色超流体的时变线性响应：微观理论及其与电流密度泛函理论的联系

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The dynamics of a confined fluid of Bose atoms is treated within the linear response regime, with a view to establishing a current-density functional formalism for an inhomogeneous superfluid state. After evaluating in full detail a simplified case of an external coupling to the density and phase of the condensate, the theory is extended to include the coupling to the total current density. The Kohn-Sham response functions of the condensate and all the exchange-correlation kernels for the superfluid are introduced from the microscopic equations of motion and are expressed in a physically transparent way through functional derivatives of correlation functions. A microscopic formula for the superfluid density is derived and used to introduce a generalized hydrodynamic approach for a weakly inhomogeneous two-fluid model in isothermal conditions. Local-density expressions are thereby derived for the velocities of first and second sound in the weakly inhomogeneous superfluid and for visco-elastic functions describing the transition from the hydrodynamic to the collisionless regime. Landau's hydrodynamic theory and known results in Green's functions language are recovered in the limiting case of a homogeneous superfluid. (C) 1998 Elsevier Science B.V. All rights reserved. [References: 41]
机译：在线性响应范围内处理Bose原子受限流体的动力学，以期建立非均质超流体状态的电流密度泛函。在详细评估了与冷凝物的密度和相的外部耦合的简化情况之后，对该理论进行了扩展，包括了与总电流密度的耦合。从微观运动方程中引入了冷凝物的Kohn-Sham响应函数和所有超流体交换相关核，并通过相关函数的函数导数以物理透明的方式表示。推导了超流体密度的微观公式，并将其用于引入等温条件下的弱非均匀两流体模型的广义流体力学方法。由此导出局部密度表达式，用于弱非均质超流体中第一和第二声音的速度以及描述从流体动力状态到无碰撞状态过渡的粘弹性函数。在同质超流体的极限情况下，可以恢复Landau的流体力学理论和格林函数语言中的已知结果。 （C）1998 Elsevier Science B.V.保留所有权利。 [参考：41]

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