Martikainen J-P, Stoof H T C
Institute for Theoretical Physics, Utrecht University, Leuvenlaan 4, 3584 CE Utrecht, The Netherlands.
Phys Rev Lett. 2003 Dec 12;91(24):240403. doi: 10.1103/PhysRevLett.91.240403. Epub 2003 Dec 8.
Using a variational ansatz for the wave function of the Bose-Einstein condensate, we develop a quantum theory of vortices and quadrupole modes in a one-dimensional optical lattice. We study the coupling between the quadrupole modes and Kelvin modes, which turns out to be formally analogous to the theory of parametric processes in quantum optics. This leads to the possibility of squeezing vortices. We solve the quantum multimode problem for the Kelvin modes and quadrupole modes numerically and find properties that cannot be explained with a simple linear-response theory.
通过对玻色-爱因斯坦凝聚体波函数使用变分近似，我们发展了一种关于一维光学晶格中涡旋和四极模式的量子理论。我们研究了四极模式与开尔文模式之间的耦合，结果发现它在形式上类似于量子光学中的参量过程理论。这导致了挤压涡旋的可能性。我们通过数值方法求解了开尔文模式和四极模式的量子多模问题，并发现了一些用简单线性响应理论无法解释的性质。
