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

dc.contributor.authorPuebla, Ricardo
dc.contributor.authorDeffner, Sebastian
dc.contributor.authorCampbell, Steve
dc.date.accessioned2020-07-02T18:38:45Z
dc.date.available2020-07-02T18:38:45Z
dc.date.issued2020-06-08
dc.description.abstractGeometric 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.en
dc.description.sponsorshipWe acknowledge insightful discussions with Adolfo del Campo. R. P. acknowledges the support by the SFI-DfE Investigator Programme (grant 15/IA/2864). This research was supported by grant number 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.en
dc.description.urihttps://journals.aps.org/prresearch/abstract/10.1103/PhysRevResearch.2.032020en
dc.format.extent7 pagesen
dc.genrejournal articlesen
dc.identifierdoi: https://doi.org/10.1103/PhysRevResearch.2.032020
dc.identifier.citationRicardo 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.2.032020en
dc.identifier.urihttp://hdl.handle.net/11603/19065
dc.language.isoenen
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Physics Department Collection
dc.relation.ispartofUMBC Faculty Collection
dc.relation.ispartofUMBC Joint Center for Earth Systems Technology (JCET)
dc.rightsThis item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.titleKibble-Zurek scaling in quantum speed limits for shortcuts to adiabaticityen
dc.typeTexten

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