带热库色噪声的非线性朗道-齐纳隧穿
Nonlinear Landau-Zener Tunneling with Heat-Bath Colored Noise
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中文总结 AI 辅助
该研究探究热库色噪声对非线性朗道-齐纳隧穿的影响，发现非线性可使隧穿概率在噪声超临界值后随噪声增大而降低，通过维纳-厄米展开阐明机制，对比随机共振并获强弱噪声极限近似解。
中文摘要 AI 辅助
本工作研究源自热库的色噪声对非线性朗道-齐纳（LZ）隧穿的影响，非线性可能源于多体平均场原子自相互作用或光学系统中的克尔非线性。与线性LZ范式中热增强量子隧穿的成熟图像相反，数值模拟的系综统计表明，非线性可导致热抑制LZ隧穿：当色噪声振幅超过临界值时，非线性LZ系统的隧穿概率随色噪声振幅增大而降低。解析上，维纳-厄米展开有助于阐明隧穿概率对噪声振幅非单调依赖的内在机制。我们将这些行为与随机共振响应对比，明确两者源于不同物理机制。此外，我们在弱噪声和强噪声极限下获得近似解，并讨论本理论的意义。
英文摘要
In this work, we investigate the influence of colored noise originating from a heat bath on nonlinear Landau-Zener (LZ) tunneling. The nonlinearity might arise intrinsically from many-body mean-field atomic self-interactions or Kerr nonlinearities in optical systems. Contrary to the well-established picture of thermally enhanced quantum tunneling within the linear LZ paradigm, ensemble statistics of our numerical simulations demonstrate that nonlinearity can give rise to thermally suppressed LZ tunneling: the tunneling probability of the nonlinear LZ system decreases as the amplitude of the colored noise increases beyond a critical value. Analytically, the Wiener-Hermite expansion facilitates elucidation of the intrinsic mechanism accounting for the nonmonotonic dependence of tunneling probability on noise amplitude. We compare these behaviors with stochastic resonance responses and clarify that the two phenomena stem from distinct physical mechanisms. In addition, we obtain approximate solutions in the weak- and strong-noise limits and discuss the implications of our theory.
