Quantum Critical Scaling under Periodic Driving

Abstract 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 mic...

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Autores principales:	Salvatore Lorenzo, Jamir Marino, Francesco Plastina, G. Massimo Palma, Tony J. G. Apollaro
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/7cd83936e0e7486fae04f9bdd11dd795
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spelling	oai:doaj.org-article:7cd83936e0e7486fae04f9bdd11dd7952021-12-02T16:08:08ZQuantum Critical Scaling under Periodic Driving10.1038/s41598-017-06025-12045-2322https://doaj.org/article/7cd83936e0e7486fae04f9bdd11dd7952017-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-06025-1https://doaj.org/toc/2045-2322Abstract 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.Salvatore LorenzoJamir MarinoFrancesco PlastinaG. Massimo PalmaTony J. G. ApollaroNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-12 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Salvatore Lorenzo Jamir Marino Francesco Plastina G. Massimo Palma Tony J. G. Apollaro Quantum Critical Scaling under Periodic Driving
description	Abstract 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.
format	article
author	Salvatore Lorenzo Jamir Marino Francesco Plastina G. Massimo Palma Tony J. G. Apollaro
author_facet	Salvatore Lorenzo Jamir Marino Francesco Plastina G. Massimo Palma Tony J. G. Apollaro
author_sort	Salvatore Lorenzo
title	Quantum Critical Scaling under Periodic Driving
title_short	Quantum Critical Scaling under Periodic Driving
title_full	Quantum Critical Scaling under Periodic Driving
title_fullStr	Quantum Critical Scaling under Periodic Driving
title_full_unstemmed	Quantum Critical Scaling under Periodic Driving
title_sort	quantum critical scaling under periodic driving
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/7cd83936e0e7486fae04f9bdd11dd795
work_keys_str_mv	AT salvatorelorenzo quantumcriticalscalingunderperiodicdriving AT jamirmarino quantumcriticalscalingunderperiodicdriving AT francescoplastina quantumcriticalscalingunderperiodicdriving AT gmassimopalma quantumcriticalscalingunderperiodicdriving AT tonyjgapollaro quantumcriticalscalingunderperiodicdriving
_version_	1718384605787062272

Quantum Critical Scaling under Periodic Driving

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