Qiao Xin, Zhang Xiao-Bo, Jian Yue, Ma Yun-E, Gao Rui, Zhang Ai-Xia, Xue Ju-Kui
College of Physics and Electronics Engineering, Northwest Normal University, Lanzhou 730070, China.
Phys Rev E. 2023 Sep;108(3-1):034214. doi: 10.1103/PhysRevE.108.034214.
The nonlinear Landau-Zener-Stückelberg-Majorana (LZSM) tunneling dynamics and interferometry of an extended Bose-Hubbard flux ladder are studied. Based on the mean-field theory, the dispersion relation of the system is given, and it is found that loop structures periodically appear in the band structure and the nonlinear LZSM interference occurs naturally without Floquet engineering, which can be effectively modulated by atomic interactions. The nonlinear energy bands and the unique chirality feature of the flux ladder system can be identified through the dynamics of nonlinear Landau-Zener tunneling. Remarkably, the critical position of the noise in the interference pattern can be employed to identify the loop structure in the energy band, establishing an effective link between the nonlinear loop structure and LZSM interferometry. The position, intensity, symmetry, and width of interference patterns strongly depend on the magnetic field, atomic interactions, rung-to-leg coupling ratio, and energy bias, which provides an effective way to measure these parameters using the nonlinear LZSM interferometry. This paper further expands the dynamics of flux ladder systems to complex interaction regions and has potential applications in the precise measurement of related nonlinear systems.
研究了扩展玻色-哈伯德磁通梯子的非线性朗道-齐纳-施图克尔贝格-马约拉纳（LZSM）隧穿动力学及干涉测量。基于平均场理论，给出了系统的色散关系，发现能带结构中周期性地出现环形结构，且无需弗洛凯工程就能自然地发生非线性LZSM干涉，其可通过原子相互作用有效调制。通过非线性朗道-齐纳隧穿动力学可识别磁通梯子系统的非线性能带及独特的手征性特征。值得注意的是，干涉图样中噪声的临界位置可用于识别能带中的环形结构，从而在非线性环形结构与LZSM干涉测量之间建立有效联系。干涉图样的位置、强度、对称性和宽度强烈依赖于磁场、原子相互作用、梯级与腿的耦合比以及能量偏置，这为利用非线性LZSM干涉测量来测量这些参数提供了有效方法。本文进一步将磁通梯子系统的动力学扩展到复杂相互作用区域，并在相关非线性系统的精确测量中具有潜在应用。
