光晶格中BEC通过离散呼吸子的传输
Transfer of BECs through discrete breathers in an optical lattice
摘要：
在离散非线性薛定谔方程（DNLS）框架下，研究了非线性三聚体上稳态离散呼吸子（DB）的稳定性。在以前对泄漏光晶格中玻色-爱因斯坦凝聚体动力学的理论研究中，研究了DB与晶格激发（例如运动呼吸子（MB）或声子）之间的碰撞。这些碰撞导致通过DB的MB的入射（原子）范数的一部分的传输，而DB可以在入射晶格激发的方向上移位。在这里，我们表明，存在一个总的能量阈值的三聚体，在此之上的晶格激发可以触发DB的不稳定，这是导致DB的运动的机制。此外，我们给出了一个上界的分析估计，通过DB传输的范数。我们的分析解释了早期的数值研究结果，并可能有助于澄清功能操作与BEC的光晶格，如阻塞和过滤相干（原子）光束。
英文摘要：
We study the stability of a stationary discrete breather (DB) on a nonlinear trimer in the framework of the discrete nonlinear Schrödinger equation (DNLS). In previous theoretical investigations of the dynamics of Bose-Einstein condensates in leaking optical lattices, collisions between a DB and a lattice excitation, e.g. a moving breather (MB) or phonon, were studied. These collisions lead to the transmission of a fraction of the incident (atomic) norm of the MB through the DB, while the DB can be shifted in the direction of the incident lattice excitation. Here we show that there exists a total energy threshold of the trimer, above which the lattice excitation can trigger the destabilization of the DB and that this is the mechanism leading to the movement of the DB. Furthermore, we give an analytic estimate of upper bound to the norm that is transmitted through the DB. Our analysis explains the results of the earlier numerical studies and may help to clarify functional operations with BECs in optical lattices such as blocking and filtering coherent (atomic) beams.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
