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

publication date

  • July 2020

start page

  • 032020-1

end page

  • 032020-7

issue

  • 3

volume

  • 2

International Standard Serial Number (ISSN)

  • 2643-1564

abstract

  • 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.

subjects

  • Physics

keywords

  • nonequilibrium statistical mechanics; quantum control; quantum phase transitions; quantum quench