当前位置:
X-MOL 学术
›
Eur. Phys. J. D
›
论文详情
Our official English website, www.x-mol.net, welcomes your
feedback! (Note: you will need to create a separate account there.)
On the hydrodynamics of nonlinear gauge-coupled quantum fluids
The European Physical Journal D ( IF 1.5 ) Pub Date : 2020-05-07 , DOI: 10.1140/epjd/e2020-100524-3 Yvan Buggy , Lawrence G. Phillips , Patrik Öhberg
中文翻译:
非线性规范耦合量子流体的流体动力学
更新日期:2020-05-07
The European Physical Journal D ( IF 1.5 ) Pub Date : 2020-05-07 , DOI: 10.1140/epjd/e2020-100524-3 Yvan Buggy , Lawrence G. Phillips , Patrik Öhberg
Abstract
By constructing a hydrodynamic canonical formalism, we show that the occurrence of an arbitrary density-dependent gauge potential in the meanfield Hamiltonian of a Bose-condensed fluid invariably leads to nonlinear flow-dependent terms in the wave equation for the phase, where such terms arise due to the explicit dependence of the mechanical flow on the fluid density. In addition, we derive a canonical momentum transport equation for this class of nonlinear fluid and obtain an expression for the stress tensor. Further, we study the hydrodynamic equations in a particular nonlinear fluid, where the effective gauge potential results from the introduction of weak contact interactions in an ultracold dilute Bose gas of optically-addressed two-level atoms. In the Cauchy equation of mechanical momentum transport of the superfluid, two non-trivial terms emerge due to the density-dependent vector potential. A body-force of dilation appears as a product of the gauge potential and the dilation rate of the fluid, while the stress tensor features a canonical flow pressure term given by the inner-product of the gauge potential and the canonical current density. By numerical simulation, we illustrate an interesting effect of the nonlinear gauge potential on the groundstate wavefunction of a superfluid in the presence of a foreign impurity. We find that the groundstate adopts a non-trivial local phase, which is antisymmetric under reversal of the gauge potential. The phase profile leads to a canonical-flow or phase-flow dipole about the impurity, resulting in a skirting mechanical flow. As a result, the pressure becomes asymmetric about the object and the condensate undergoes a deformation.Graphical abstract
中文翻译:
非线性规范耦合量子流体的流体动力学