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Fate of dynamical phases of a BCS superconductor beyond the dissipationless regime

机译：超越无耗散状态的BCS超导体动力学相的命运

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摘要

The BCS model of an isolated superconductor initially prepared in a nonequilibrium state predicts the existence of interesting dynamical phenomena in the time-dependent order parameter as decaying oscillations, persistent oscillations, and overdamped dynamics. To make contact with real systems remains an open challenge as one needs to introduce dissipation due to the environment in a self-consistent computation. Here, we reach this goal with the use of the Keldysh formalism to treat the effect of a thermal bath. We show that, contrary to the dissipationless case, all dynamical phases reach the equilibrium order parameter in a characteristic time that depends on the coupling with the bath. Remarkably, as time evolves, the overdamped phase shows a fast crossover where the superconducting order parameter recovers to reach a state with a well-developed long range order that tends towards equilibrium with the damped Higgs mode oscillations. Our results provide a benchmark for the description of the dynamics of real out-of-equilibrium superconductors relevant for quantum technological applications.
机译：最初以非平衡状态制备的隔离超导体的BCS模型预测了随时间变化的阶数参数中有趣的动力学现象的存在，如衰减振荡，持续振荡和过阻尼动力学。与真实系统进行接触仍然是一个开放的挑战，因为需要在自洽的计算中引入环境造成的耗散。在这里，我们通过使用Keldysh形式主义来达到热浴效果的目的，达到了这一目标。我们表明，与无耗散情况相反，所有动力学相在一个特征时间内都达到平衡阶数参数，该时间取决于与镀液的耦合。值得注意的是，随着时间的流逝，过阻尼阶段显示出一个快速交叉，超导阶跃参数恢复到具有良好发展的长程阶跃的状态，该阶跃趋于与阻尼希格斯模态振荡达到平衡。我们的结果为描述与量子技术应用相关的实际失衡超导体的动力学提供了基准。

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  • 来源
    《Physical review》 |2019年第17期|174509.1-174509.7|共7页
  • 作者

    Ojeda Collado H. P.; Usaj Gonzalo; Lorenzana Jose; Balseiro C. A.;

  • 作者单位

    Comis Nacl Energia Atom, Ctr Atom Bariloche, RA-8400 San Carlos De Bariloche, Rio Negro, Argentina|Univ Nacl Cuyo, Inst Balseiro, RA-8400 San Carlos De Bariloche, Rio Negro, Argentina|Consejo Nacl Invest Cient & Tecn, Buenos Aires, DF, Argentina;

    Comis Nacl Energia Atom, Ctr Atom Bariloche, RA-8400 San Carlos De Bariloche, Rio Negro, Argentina|Univ Nacl Cuyo, Inst Balseiro, RA-8400 San Carlos De Bariloche, Rio Negro, Argentina|Consejo Nacl Invest Cient & Tecn, Buenos Aires, DF, Argentina;

    Sapienza Univ Rome, ISC CNR, Piazzale Aldo Moro 2, I-00185 Rome, Italy|Sapienza Univ Rome, Dept Phys, Piazzale Aldo Moro 2, I-00185 Rome, Italy;

    Comis Nacl Energia Atom, Ctr Atom Bariloche, RA-8400 San Carlos De Bariloche, Rio Negro, Argentina|Univ Nacl Cuyo, Inst Balseiro, RA-8400 San Carlos De Bariloche, Rio Negro, Argentina|Consejo Nacl Invest Cient & Tecn, Buenos Aires, DF, Argentina;

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