RT Journal Article T1 Kibble-Zurek scaling in quantum speed limits for shortcuts to adiabaticity A1 Puebla Antunes, Ricardo A1 Deffner, Sebastian A1 Campbell, Steve AB Geometric quantum speed limits quantify the tradeoff between the rate at 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 completely suppressing 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 three scenarios, namely the transverse field Ising model, the Landau-Zener model, and the Lipkin-Meshkov-Glick model. PB APS SN 2643-1564 YR 2020 FD 2020-07 LK https://hdl.handle.net/10016/38121 UL https://hdl.handle.net/10016/38121 LA eng NO We acknowledge fruitful discussions with Adolfo del Campo. R.P. acknowledges the support by the SFI-DfE Investigator Programme (Grant No. 15/IA/2864). This research was supported by Grant No. FQXi-RFP-1808 from the Foundational Questions Institute and Fetzer Franklin Fund, a donor advised fund of Silicon Valley Community Foundation (S.D.). S.C. gratefully acknowledges the Science Foundation Ireland Starting Investigator Research Grant "SpeedDemon" (No. 18/SIRG/5508) for financial support. DS e-Archivo RD 23 may. 2024