In the absence of dissipation a periodically driven BCS superconductor can enter a coherent nonlinear regime of collective Rabi oscillations which last for arbitrary long times [Ojeda Collado et al. Phys. Rev. B 98, 214519 (2018)]. Here we show that dissipation effects introduce dramatic changes: i) the collective Rabi mode becomes a transient. ii) At long times a steady state is reached showing strong nonlinear effects for large enough drive strength. We identify the physical parameters governing the various crossovers and present a detailed computation of time- and angle-resolved photo-emission spectroscopy (tr-ARPES) and time-resolved tunneling spectra aiming at detecting the collective Rabi oscillations and the steady-state nonlinearities. We show also that second harmonic generation is allowed for a drive which acts on the BCS coupling constant.

中文翻译：

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带耗散的驱动超导体的非线性动力学

在没有耗散的情况下，周期性驱动的BCS超导体可以进入一个连续的，集体的拉比振荡的非线性状态，这种状态持续任意长时间[Ojeda Collado等。物理 修订版B 98，214519（2018）]。在这里，我们表明耗散效应带来了巨大的变化：i）集体拉比模式变为瞬态。ii）在很长一段时间内达到稳定状态，显示出强烈的非线性效应，从而具有足够大的驱动强度。我们确定了控制各种分频器的物理参数，并给出了时间和角度分辨光发射光谱（tr-ARPES）和时间分辨隧道光谱的详细计算，旨在检测集体拉比振荡和稳态非线性。