AI 中文总结
本文提出用参数驱动腔的离散电磁场模式模拟非马尔可夫量子系统-库动力学，可准确模拟自旋-玻色模型的局域化转变，为构建定制非马尔可夫库提供模块化平台，有量子热力学等领域应用潜力。
AI 中文摘要
我们提出并表征了一种利用参数驱动腔的离散电磁场模式来模拟非马尔可夫量子系统-库动力学的方案。在该方案中，玻色库的特性（即库谱密度的形式）直接与描述周期性参数腔调制的实时波形形状相关。作为一个具体实例，我们在数值模拟和解析估计的支持下，证明了该方案在采用当前可实现参数的光纤环实验中是可行的。特别地，我们表明自旋-玻色模型的局域化转变可在该光纤环腔系统中被准确模拟。该局域化效应的特征是，当耦合到玻色库的两能级系统的库谱密度 $J(\omega)\propto \omega^{s}$ 从亚欧姆区（$s<1$）连续调谐到超欧姆区（$s>1$）时，会发生从部分衰减到完全衰减的急剧转变。该转变仅在热力学极限（无限多库模式）和足够弱的系统-库耦合下才能精确实现。我们强调了该问题中弱耦合极限与热力学极限之间的竞争关系，并表明尽管实现该转变存在挑战，但仍可克服。最后，我们给出了模拟任意系统可观测量的非马尔可夫动力学时引入的系统误差的界限。本文提出的方案可实现一个模块化平台，用于构建定制的非马尔可夫库，在量子热力学、多体系统热化以及开放量子系统的资源高效量子模拟中具有潜在应用。
英文摘要
We introduce and characterize a scheme for emulating non-Markovian quantum system-bath dynamics using the discrete electromagnetic field modes of a parametrically driven cavity. In this scheme, the character of a bosonic bath (the form of the bath spectral density) is tied directly to the shape of the real-time waveform describing periodic parametric cavity modulation. As an explicit example, we demonstrate the feasibility of this scheme for a fiber-loop experiment with currently achievable parameters, supported by numerical simulations and analytical estimates. In particular, we show that a localization transition of the spin-boson model can be accurately emulated in this fiber-loop cavity system. This localization effect is characterized by a sharp transition from partial decay to complete decay for a two-level system coupled to a bosonic bath as the bath spectral density $J(ω)\propto ω^{s}$ is continously tuned from the sub-ohmic ($s<1$) to the super-ohmic ($s>1$) regime. The transition is only exactly realized in the thermodynamic limit (for an infinite number of bath modes) and for sufficiently weak system-bath coupling. We highlight a competition between the weak-coupling and thermodynamic limits in this problem and show that challenges in approximately realizing the transition can nevertheless be overcome. Finally, we provide bounds on the systematic error introduced when emulating non-Markovian dynamics for arbitrary system observables. The scheme presented here can enable the realization of a modular platform for engineering custom non-Markovian baths, with potential applications in quantum thermodynamics, thermalization of many-body systems, and resource-efficient quantum simulations of open quantum systems.
Comments24 pages, 12 figures Any comments are welcome
