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Quantum Critical Scaling under Periodic Driving

机译:周期性驱动下的量子临界缩放

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摘要

Universality is key to the theory of phase transitions, stating that the equilibrium properties of observables near a phase transition can be classified according to few critical exponents. These exponents rule an universal scaling behaviour that witnesses the irrelevance of the model’s microscopic details at criticality. Here we discuss the persistence of such a scaling in a one-dimensional quantum Ising model under sinusoidal modulation in time of its transverse magnetic field. We show that scaling of various quantities (concurrence, entanglement entropy, magnetic and fidelity susceptibility) endures up to a stroboscopic time τ bd, proportional to the size of the system. This behaviour is explained by noticing that the low-energy modes, responsible for the scaling properties, are resilient to the absorption of energy. Our results suggest that relevant features of the universality do hold also when the system is brought out-of-equilibrium by a periodic driving.
机译:普遍性是相变理论的关键,指出相变附近可观测物的平衡性质可以根据几个关键指数进行分类。这些指数决定了普遍的缩放行为,证明了模型的微观细节在临界点上是无关紧要的。在这里,我们讨论在正弦调制下的一维量子伊辛模型中在横向磁场时这种缩放的持久性。我们表明,各种量(并发,纠缠熵,磁和保真度磁化率)的缩放比例可持续至频闪时间τbd,与系统的大小成正比。通过注意到负责缩放特性的低能量模式对能量吸收具有弹性来解释此行为。我们的结果表明,当通过周期性驱动使系统失去平衡时,通用性的相关特征也确实存在。

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