随机磁场弗洛quet量子伊辛模型中的鲁棒谱π配对
Robust spectral $π$ pairing in the random-field Floquet quantum Ising model
AI总结：
该研究在随机磁场弗洛quet量子伊辛模型中发现π配对对纵向无序具有鲁棒性，这对量子信息处理有潜在应用。
摘要：
受在超导量子处理器上的实验[Mi等人，科学378，785（2022）]的启发，我们研究了随机磁场弗洛quet量子伊辛模型的多体谱中的能级配对。这些配对来源于将自旋模型写成约当-威格纳费米子时的Majorana零模和π模。这两种分裂都有随机横向场的对数正态分布。相比之下，随机纵向场对零模和π模分裂的影响方式截然不同。虽然零配对迅速被抬高，但π配对却 remarkably robust，或者甚至在远更大的无序强度下被加强。我们通过自洽弗洛quet微扰理论解释了我们的结果，并研究了其对边界自旋相关性的影响。π配对对纵向无序的鲁棒性可能对量子信息处理有用。
英文摘要：
Motivated by an experiment on a superconducting quantum processor [Mi et al., Science 378, 785 (2022)], we study level pairings in the many-body spectrum of the random-field Floquet quantum Ising model. The pairings derive from Majorana zero and $π$ modes when writing the spin model in Jordan-Wigner fermions. Both splittings have lognormal distributions with random transverse fields. In contrast, random longitudinal fields affect the zero and $π$ splittings in drastically different ways. While zero pairings are rapidly lifted, the $π$ pairings are remarkably robust, or even strengthened, up to vastly larger disorder strengths. We explain our results within a self-consistent Floquet perturbation theory and study implications for boundary spin correlations. The robustness of $π$ pairings against longitudinal disorder may be useful for quantum information processing.
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