Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 46, Issue 33, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/46/33/335302
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Funding
- Emmy Noether Program of the DFG [LU1382/1-1]
- cluster of excellence Nanosystems Initiative Munich (NIM)
- German Academic Exchange Service (DAAD) [D/11/40955]
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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.
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