Energy–time uncertainty relation for driven quantum systems
Loading...
Permanent Link
Author/Creator
Author/Creator ORCID
Date
2013-07-29
Type of Work
Department
Program
Citation of Original Publication
Sebastian Deffner and Eric Lutz, Energy–time uncertainty relation for driven quantum systems, Journal of Physics A: Mathematical and Theoretical, Volume 46, Number 33, doi:10.1088/1751-8113/46/33/335302
Rights
This 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.
© 2013 IOP Publishing Ltd
© 2013 IOP Publishing Ltd
Subjects
Abstract
We derive generalizations of the energy–time uncertainty relation for driven quantum systems. Using a geometric approach based on the Bures length between mixed quantum states, we obtain explicit expressions for the quantum speed limit time, valid for arbitrary initial and final quantum states and arbitrary unitary driving protocols. Our results establish the fundamental limit on the rate of evolution of closed quantum systems.