We analyze the stationary current of bosonic carriers in the Bose-Hubbard chain of length L where the first and the last sites of the chain are attached to reservoirs of Bose particles acting as a particle source and sink, respectively. The analysis is carried out by using the pseudoclassical approach which reduces the original quantum problem to the classical problem for L coupled nonlinear oscillators. It is shown that an increase of oscillator nonlinearity (which is determined by the strength of interparticle interactions) results in a transition from the ballistic transport regime, where the stationary current is independent of the chain length, to the diffusive regime, where the current is inversely proportional to L.

中文翻译：

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开放的Bose-Hubbard链：伪古典方法。

我们分析了长度为L的Bose-Hubbard链中的玻色子载流子的平稳电流，其中该链的第一个和最后一个位置分别连接到Bose粒子的储层，分别充当粒子的源和沉。通过使用伪经典方法进行分析，该方法将L耦合非线性振荡器的原始量子问题简化为经典问题。结果表明，振荡器非线性的增加（由粒子间相互作用的强度决定）会导致从固定电流独立于链长的弹道输运状态转变为电流为扩散状态的扩散状态。与L成反比。