论文标题
Floquet的冰箱：驱动量子关键系统中的共形冷却
Floquet's Refrigerator: Conformal Cooling in Driven Quantum Critical Systems
论文作者
论文摘要
我们提出了一种冷却的通用方法 - 由空间变形的汉密尔顿人产生的周期性驾驶 - 并在一般的一维量子临界系统中对其进行了研究。我们的协议能够在浮标时间周期中迅速迅速在规定的子区域下迅速在规定的子区域下有效冷却一个有限温度的吉布斯（混合）状态。同时，熵和能量被转移并定位到随着时间的流逝收缩的互补区域。我们通过对降低密度矩阵的全职演化的精确分析解决方案得出这些结论。我们还将数字在自屈服晶格模型中用作基准，并找到出色的一致性。这种保形的浮子冰箱为冷却合成量子系统打开了有希望的新途径。
We propose a general method of cooling -- periodic driving generated by spatially deformed Hamiltonians -- and study it in general one-dimensional quantum critical systems described by a conformal field theory. Our protocol is able to efficiently cool a finite-temperature Gibbs (mixed) state down to zero temperature at prescribed sub-regions exponentially rapidly in Floquet time cycles. At the same time, entropy and energy are transferred and localized to the complementary regions that shrink with time. We derive these conclusions through an exact analytic solution of the full time evolution of reduced density matrices. We also use numerics in free-fermion lattice models as a benchmark and find remarkable agreement. Such conformal Floquet refrigerators open a promising new route to cooling synthetic quantum systems.
