We study controllable Bloch oscillation and its potential applications in a one-dimensional lattice with partly phase-modulated hopping rates. Under proper conditions, such a system can be built by using a quasi-one-dimensional sawtooth lattice with Peierls phases induced by a synthetic magnetic field. The amplitude of the Bloch oscillation can be adjusted precisely and continuously by adjusting the phase, and hence we realize tunable light splitting in the presence of a V-type potential. Moreover, we construct two distinct sandwich structures to realize tunable light stopping and delayed splitting, respectively, of which the stopping and delay durations are tunable. Our proposal may imply exciting opportunities for potential applications in optical communications and photonic device fabrication involving unconventional light transports.

中文翻译：

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通过晶格中可控的Bloch振荡进行分光和停光及其组合

我们研究可控的Bloch振荡及其在具有部分相位调制跳变率的一维晶格中的潜在应用。在适当的条件下，可以通过使用由合成磁场感应出的具有Peierls相的准一维锯齿晶格来构建这样的系统。通过调节相位，可以精确连续地调节Bloch振荡的幅度，因此，在存在V型电势的情况下，我们可以实现可调光分裂。此外，我们构造了两种截然不同的三明治结构，分别实现了可调光停止和延迟分裂，其中停止和延迟持续时间是可调的。我们的建议可能暗示在涉及非常规光传输的光通信和光子器件制造中潜在应用的令人兴奋的机会。