6533b823fe1ef96bd127e36b

RESEARCH PRODUCT

Quantum Critical Scaling under Periodic Driving

Francesco PlastinaG. Massimo PalmaG. Massimo PalmaSalvatore LorenzoSalvatore LorenzoTony J. G. ApollaroJamir Marino

subject

Phase transitionScienceFOS: Physical sciencesmagnetic fieldQuantum entanglement01 natural sciencesArticle010305 fluids & plasmas0103 physical sciencesEntropy (information theory)humanStatistical physics010306 general physicsScalingQuantumCondensed Matter - Statistical MechanicsPhysicsQuantum PhysicsmodelMultidisciplinaryStatistical Mechanics (cond-mat.stat-mech)behaviorQRMultidisciplinary critical processes quantum phase transitionsObservablemodulationMedicineIsing modelQuantum Physics (quant-ph)entropyCritical exponent

description

Universality is key to the theory of phase transition 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 $\tau_{bd}$, 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.

https://doi.org/10.1038/s41598-017-06025-1