Kibble-Zurek scaling in quantum speed limits for shortcuts to adiabaticity

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PhysRevResearch.2.032020.pdf (441.11 KB)

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https://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.2.032020

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2020-06-08

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journal articles
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Ricardo Puebla, Sebastian Deffner and Steve Campbell, Kibble-Zurek scaling in quantum speed limits for shortcuts to adiabaticity, Phys. Rev. Research 2, 032020(R) (2020), https://doi.org/10.1103/PhysRevResearch.2.032020

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Abstract

Geometric quantum speed limits quantify the trade-off between the rate with which quantum states can change and the resources that are expended during the evolution. Counterdiabatic driving is a unique tool from shortcuts to adiabaticity to speed up quantum dynamics, while preventing nonequilibrium excitations. We show that the quantum speed limit for counterdiabatically driven systems undergoing quantum phase transitions fully encodes the Kibble-Zurek mechanism by correctly predicting the transition from adiabatic to impulse regimes. Our findings are demonstrated for two paradigmatic scenarios, namely the transverse field Ising and the Lipkin-Meshkov-Glick models.